The Finite Element Method – Volume 3 – Fluid Dynamics

The Finite Element Method – Volume 3 – Fluid Dynamics
اسم المؤلف
O.C. Zienkiewicz, CBE, FRS, FREng
التاريخ
4 سبتمبر 2021
المشاهدات
526
التقييم
(لا توجد تقييمات)
Loading...

The Finite Element Method – Volume 3 – Fluid Dynamics
Fifth Edition
O.C. Zienkiewicz, CBE, FRS, FREng
UNESCO Professor of Numerical Methods in Engineering
International Centre for Numerical Methods in Engineering, Barcelona
Emeritus Professor of Civil Engineering and Director of the Institute for
Numerical Methods in Engineering, University of Wales, Swansea
R.L. Taylor
Professor in the Graduate School
Department of Civil and Environmental Engineering
University of California at Berkeley
Berkeley, California
Preface to Volume 3
Acknowledgements .
Introduction and the equations of fluid dynamics
. General remarks and classification of fluid mechanics
problems discussed in the book
. The governing equations of fluid dynamics .
. Incompressible (or nearly incompressible) flows .
. Concluding remarks
Convection dominated problems – finite element
appriximations to the convection-diffusion
equation
. Introduction
. the steady-state problem in one dimension .
. The steady-state problem in two (or three) dimensions
. Steady state – concluding remarks
. Transients – introductory remarks
. Characteristic-based methods .
. Taylor-Galerkin procedures for scalar variables
. Steady-state condition .
. Non-linear waves and shocks .
. Vector-valued variables .
. Summary and concluding
A general algorithm for compressible and
incompressible flows – the characteristic-based
split (CBS) algorithm .
. Introduction
. Characteristic-based split (CBS) algorithm .
. Explicit, semi-implicit and nearly implicit forms .
. ’Circumventing’ the Babuska-Brezzi (BB) restrictions .
. A single-step version .
. Boundary conditions . The performance of two- and single-step algorithms on
an inviscid problems
. Concluding remarks
Incompressible laminar flow – newtonian and
non-newtonian fluids .
. Introduction and the basic equations .
. Inviscid, incompressible flow (potential flow) .
. Use of the CBS algorithm for incompressible or nearly
incompressible flows .
. Boundary-exit conditions .
. Adaptive mesh refinement .
. Adaptive mesh generation for transient problems .
. Importance of stabilizing convective terms
. Slow flows – mixed and penalty formulations
. Non-newtonian flows – metal and polymer forming .
. Direct displacement approach to transient metal
forming
. Concluding remarks
Free surfaces, buoyancy and turbulent
incompressible flows
. Introduction
. Free surface flows .
. Buoyancy driven flows .
. Turbulent flows
Compressible high-speed gas flow
. Introduction
. The governing equations .
. Boundary conditions – subsonic and supersonic flow
. Numerical approximations and the CBS algorithm
. Shock capture .
. Some preliminary examples for the Euler equation .
. Adaptive refinement and shock capture in Euler
problems . Three-dimensional inviscid examples in steady state .
. Transient two and three-dimensional problems
. Viscous problems in two dimensions
. Three-dimensional viscous problems
. Boundary layer-inviscid Euler solution coupling
. Concluding remarks
Shallow-water problems
. Introduction
. The basis of the shallow-water equations .
. Numerical approximation .
. Examples of application
. Drying areas
. Shallow-water transport .
Waves
. Introduction and equations
. Waves in closed domains – finite element models
. Difficulties in modelling surface waves
. Bed friction and other effects .
. The short-wave problem
. Waves in unbounded domains (exterior surface wave
problems)
. Unbounded problems
. Boundary dampers
. Linking to exterior solutions .
. Infinite elements
. Mapped periodic infinite elements .
. Ellipsoidal type infinite elements of Burnnet and Holford
. Wave envelope infinite elements .
. Accuracy of infinite elements .
. Transient problems
. Three-dimensional effects in surface waves
Computer implementation of the CBS algorithm . . Introduction
. The data input module .
. Solution module .
. Output module .
. Possible extensions to CBSflow
Appendix A Non-conservative form of
Navier-Stokes equations .
Appendix B Discontinuous Galerkin methods in
the solution of the convection-diffusion equation .
Appendix C Edge-based finite element forumlation
Appendix D Multigrid methods .
Appendix E Boundary layer-inviscid flow coupling .
Author index .
Subject index .
Subject index
a posteriori error indicators,
A , split see Split, A
Absolute temperature, ,
Absorption of acoustic waves,
Acceleration:
convective,
Accelerations, Coriolis,
Accuracy of infinite elements,
Acoustics, , , , ,
exterior,
Adaptive development,
Adaptive mesh,
generation,
refinement,
Adaptive procedure,
Adaptive refinement, ,
Adaptive remeshing,
Adaptivity,
Advancing boundary normals,
Advancing front technique,
Advec-tive term,
Aerofoil, ,
NACA , . , –
two-component,
Aeronautics,
Aircraft, , ,
ALE (Arbitrary Lagrangian-Eulerian ) method,
Angular frequency,
Anisotropic diffusion,
Anisotropic mesh generation,
Anisotropic shock capturing, ,
Anisotropic viscosity,
Artificial compressibility,
Artificial diffusion, ,
Lapidus-type,
Artificial dissipation.
Artificial island problem,
Artificial offshore harbour, S
Artificial viscosities,
Atmospheric pressure,
Automatic generation of meshes,
Auxiliary variable,
Average fluxes,
Average particle size,
Average pressure,
Averaged flow equations,
Averaged heat capacity,
Avonmouth,
Axisymmetric jet,
B split, see Split, B
Babuska-Brezzi ( BB) restrictions, ,
Backward facing step, ,
Balance of energy,
Balance of momentum,
Balancing diffusion, ,
streamline,
Banded solution,
Basin,
Bathygraphy,
Beach, shelving,
Bed friction , ,
Beer cans,
Berkhoff wave theory,
Bernoulli’s equation, ,
Bingham fluid,
Blunt body,

Algorithm:
( See also methods, procedures, process)
CBS (Characteristic Based Split), ,
, , , , ,
, , , ,
characteristic Galerkin,
DtN,
explicit,
semi-explicit,
single-step.
Alloys, solidification of,
Aluminium, Subject index
Blurring of the shock,
Boat:
sailing,
Body diffracting,
Body forces, , ,
Boeing ,
Bore,
Severn,
tidal,
Bottom drag stresses,
Bottom shear,
Bottom-heating cavities,
Boundaries:
changing,
exterior,
external,
fictitious,
infinite,
side.
supersonic outflow,
Boundary:
external,
fictitious,
infinite,
outer,
slip,
solid wall,
supersonic inflow,
Boundary at infinity,
Boundary condition,
free,
natural,
Boundary conditions, ,
Dirichlet,
Euler,
inlet,
local non-reflecting,
non-reflecting,
prescribed traction,
radiation,
Boundary dampers,
Boundary forces,
Boundary integrals, ,
exterior.
linking to,
Boundary layer, , , ,
, , , ,
interaction,
separation,
solution,
theory,
thickness,
-inviscidflowcoupling,
Boundary node, ,
Boundary normals, advancing,
Boundary operators,
Boundary solution,
Boundary tractions,
Boundary velocities, prescribed,
Boundary-exit conditions,
Boussinesq model.
Bow shock wave,
Breakwater:
floating, –
Breakwaters,
permeable,
Bristol Channel, – ,
Bulk modulus, , ,
Buoyancy,
Buoyancy driven convection,
Buoyancy driven flows,
Buoyancy force,
Burger’s equation,
Burnett elements,
Car:
motor,
supersonic,
Car bodies,
Cartesian coordinates,
Cauchy-Poisson free surface condition,
Cavities, bottom-heating,
Cavity problem, driven,
Cavity,
closed square,
lid-driven, , ,
resonant,
CBS (Characteristic Based Split ) algorithm,
, – . . , , ,
, , , , ,
, . , , . .
CBS algorithm incompressible flows,
CBS algorithm , computer implementation,
Central finite difference form,
Changing boundaries,
Channel:
Bristol, –
rectangular,
symmetric,
Characteristic directions.
Characteristic Galerkin algorithm,
Characteristic variable,
Characteristic-based methods,
Characteristic-based procedures, upwinding,
Characteristic-based split.
Characteristic-based split algorithm, see CBS
Characteristic-Galerkin, , – ,
, . ,
Characteristics, ,
Charge density,
Chemical concentrations,
Chemical reaction, Subject index
Chezy,
Chorin split,
Circular cylinder,
Civil aircraft,
Closed cavity,
Closed domains, waves in,
Closure models, first-order,
Cnoidal waves,
Coastal engineering,
Coastal estuaries,
Coastlines,
Coefficient:
artificial diffusion,
Chezy,
diffusion,
diffusion conduction,
entrainment,
Manning friction,
shear stress,
skin friction,
viscosity,
Coefficient of pressure,
Coefficient of thermal expansion,
Collocation, subdomain,
Complex conjugate weighting, ,
Compressibility, . ,
artificial,
elastic,
Compressible flow, , , ,
, . , ,
Compressible gases,
Compressible high-speed flows,
Compressible viscous flow problems,
Compressible wave celerity,
Computer implementation of the CBS algorithm,

Concentration,
Concentrations, chemical,
Condition:
boundary,
free boundary,
free surface, ,
kinematic,
Kutta-Joukoski,
natural,
natural boundary,
radiation,
Rankine-Hugoniot,
stability,
Conditional stability,
Conditioning system matrix,
Conditions:
boundary, ,
boundary-exit,
Dirichlet boundary, .
equilibrium,
Euler boundary,
incompressibility,
inlet boundary,
isothermal,
non-reflecting boundary,
radiation,
radiation boundary,
ramp,
slip,
steady-state,
Conduction coefficient, diffusion,
Conduction, heat,
Conductive heat flux,
Conductivity ratio. ,
thermal,
Conductivity:
isotropic thermal,
thermal, , ,
Conjugate gradient procedures,
Conjugate gradient, diagonal preconditioned,
Conjugate weighting, complex,
Conjugated infinite elements,
Connectivity,
restoration of,
Conservation:
complete flux,
energy,
energy,
mass, ,
momentum, ,
Conservation equation, energy,
Conservation form, ,
Conservation laws.
Conservation of energy, ,
Conservation of mass, ,
Conservation of momentum, ,
Conservative variables,
Consistent mass matrices, , ,
Constant:
Chezy,
dielectric
,
Lapidus,
universal gas, ,
Constant entropy.
Constant pressure,
Constant volume specific heats,
Constitutive relation for fluids,
Constraints,
incompressible,
Continuity, , ,
Continuity, depth-averaged ,
Continuum problems,
Contours:
density,
Mach,
pressure, Subject index
Convected coordinates,
Convected shape function,
Convection,
buoyancy driven,
forced,
heat,
mixed,
natural, ,
naturally occurring,
pure,
Rayleigh-Bernard,
Convection dominated problems,
Convection equation, pure,
Convection velocity,
Convection-diffusion equation, , ,
, ,
Convective acceleration,
Convective diffusion,
Convective forces,
Convective motion,
Convective term,
Convergence, , – ,
Coordinates:
cartesian,
convected,
ellipsoidal, .
nodal,
oblate spheroidal,
prolate spheroidal,
spherical polar,
Coriolis accelerations,
Coriolis forces,
Coriolis parameter,
Corners, re-entrant,
Correction:
mass matrix,
momentum,
Coupling:
energy,
semi-inverse,
thermal,
viscous-inviscid ,
Courant Number,
Criteria, convergence.
Critical flows, super,
Critical stable upwind parameter,
Critical time step,
Cross-waves,
Cross-wind diffusion,
Current,
Currents:
density-induced,
longshore,
rip,
tidal,
Curvature based refinement,
Curvature of the streamlines,
Curvatures,
maximum principle,
minimum,
Cylinder:
circular,
full,
Dam break
,
Damper:
cylindrical,
Damper-related approaches,
Dampers:
boundary.
cylindrical,
higher-order,
plan,
transient,
Damping term,
Damping, optimal,
Darcy Number, ,
DARPA submarine model,
Dassault,
Data input,
Data, mesh ,
Decay function procedures,
Decomposition, Riemann,
Decoupled equations,
Deep drawing,
Deep water,
Delaunay triangulation,
Delta:
Kronecker,
Density, , , ,
charge,
fluid,
Density contours,
Density variation,
Density-induced currents,
Density-pressure equation,
Density/pressure fields,
Depth:
total,
water,
Depth-averaged continuity,
Depth-averaged governing equations,
Depth-averaged transport equations,
Derivatives, second,
Desert, Nevada,
Design, aircraft,
Deviatoric strain , ,
Deviatoric stress, . , ,
DGM,
Diagonal matrix,
Diagonal preconditioned conjugate gradient.
Subject index
Diagonal term:
lower,
stabilizing,
Die geometry,
Dielectric constant,
Diffraction,
elastic sphere,
ellipse,
wave,
Diffraction problem, first-order,
Diffusion,
artificial,
balance, ,
convective. ,
cross-wind,
highly anisotropic,
Lapidus-type artificial,
negative,
stabilizing,
streamline balancing,
Diffusion coefficient,
artificial,
Diffusion conduction coefficient,
Diffusion error,
Diffusion terms, ,
Diffusive flux quantities,
Diffusive terms,
viscous,
Diffusivity:
artificial,
thermal,
Dirichlet boundary conditions,
Dirichlet to Neumann (DtN) mapping,
Discharge of hot fluid,
Discontinuity,
sharp,
Discontinuous Galerkin,
Discretization:
mixed,
penalty,
spatial,
Dispersal, pollutant,
Dispersion relation, ,
Displacement thickness,
Dissipation:
artificial,
energy,
frictional,
internal work,
viscous,
Dissipation terms,
Distribution:
gaussian,
pressure,
Domain integrals,
Domain subdivision, unstructured,
Domains, general wave,
Double ellipsoid,
Drag stresses, bottom,
Drag:
viscous,
wind,
Drawing:
deep,
Drift angle,
Driven cavity problem,
Driven convection, buoyancy,
Driven flows:
buoyancy,
Driving force,
Drying areas,
DtN algorithm,
Duct, hyperbolic,
DYNA D,
Dynamic codes, explicit,
Dynamic equilibrium,
Dynamic shear viscosity,
Dynamic viscosity,
Ebbing,
Eddies,
Eddy shedding,
Eddy viscosity, turbulent,
Edge formulation,
Edge:
trailing,
Edge-based finite element formulation,
Eigenvalue analysis,
Eigenvectors,
Elastic behaviour,
Elastic bulk modulus,
Elastic compressibility,
Elastic recovery,
Elastic solids, incompressible,
Elastic sphere diffraction,
Elastic waves,
Elasticity, incompressible,
Electric field intensity vectors,
Electromagnetic scattering problems,
Electromagnetic wave problems,
Electromagnetic waves, ,
Electromagnetics,
(See also finite element )
Elements:
Burnett,
conjugated infinite,
elongated,
finite,
infinite, ,
linear triangular,
quadrilateral,
special finite, Subject index
Elements
static infinite,
structured triangle,
tetrahedral,
triangle,
unconjugated infinite,
Element area calculation,
Element elongation, ,
Element formulation, edge-based finite,
Element grids, structured finite,
Element size, smallest,
Element stretching,
infinite,
potential,
Elements grids, unstructured finite,
Elementwise conservative,
Elevation:
second-order wave,
total wave,
wave,
Elevations:
tidal,
wave,
Ellipse diffraction,
Ellipsoid:
double,
Ellipsoidal coordinates,
Ellipsoidal type infinite elements,
Elongated elements,
Elongation directions,
Elongation:
element, –
Energy, ,
balance of,
conservation of, ,
internal,
kinetic,
specific,
turbulent kinetic,
Energy conservation, ,
Energy conservation equation,
Energy coupling,
Energy dissipation,
Energy equation, ,
Energy functional,
Energy norm error,
Energy transport,
Energy/temperature calculation,
Engine intake,
Enthalpy,
Entrainment coefficient,
Entropy, constant,
Equation of state,
Equation solving,
Equation:
Bernoulli, ,
Burger,
continuity,
convection-diffusion, ,
density-pressure,
energy, ,
energy conservation,
Euler, ,
heat transport,
Helmholtz, , ,
Kortcwcg-dc Vries,
Laplace, ,
momentum,
Navier-Stokes,
Poisson,
pure convection,
scalar convection-diffusion,
self-adjoint,
transport,
wave,
Equations:
averaged flow,
convection-diffusion, ,
decoupled,
depth-averaged governing,
energy,
Euler, , , , ,
cont.

Euler Stokes,
Maxwell,
Navier-Stokes, , , ,
, ,
non-conservative,
non-self-adjoint,
potential flow,
shallow-water,
Stokes,
transient scalar,
transport,
wave,
Equations of motion,
Equilibrium conditions,
Equilibrium, dynamic,
Ergun’s relations,
Error estimator,
Error indicator,
Error indicators, a posteriori,
Error limit,
Error:
diffusion,
energy norm,
interpolation, ,
pollution,
RMS departure,
Errors, phase,
Estimator, error,
Estuaries, coastal, Subject index
Finite increment calculus (FIC),
Finite volume formulation,
First-order closure models,
First-order diffraction problem,
Flat nosed punch,
Floating body,
Floating breakwater, ,
Flooding,
Flow:
compressible, , , , ,
Estuary:
Severn, –
Euler boundary conditions,
Euler equation, – , , – , . ,

Euler flow,
Euler problems,
Euler solution,
inviscid,
pure,
Euler-Stokes equations,
Eulerian flow modelling,
Evolution of heat,
Exit, flow,
Expansion:
Taylor,
Experiments, physical,
Explicit algorithm,
Explicit characteristic-Galerkin procedure,
Explicit dynamic codes,
Explicit form, ,
Explicit method, direct,
Explicit mode, fully,
Explicit scheme,
Explicit semi-explicit,
Explicit time marching algorithm,
Exponential law,
Exterior acoustics,
Exterior boundaries,
Exterior boundary integrals,
Exterior flows,
Exterior problems,
Exterior region,
Exterior series solutions,
Exterior solutions,
linking to,
Exterior surface wave problems,
Exterior wave problems,
External boundaries,
Extremum, local,
Extrusion,
transient,

Euler,
high speed, ,
hypersonic, .
ideal,
incompressible,
incompressible laminar,
incompressible Stokes.
inviscid,
inviscid incompressible,
isothermal,
Mach ,
mass,
potential,
pure Stokes,
shallow water,
steady-state,
Stokes, ,
subsonic, ,
supercritical,
supersonic,
transonic viscous,
turbulent, ,
viscous incompressible,
Flow codes, incompressible,
Flow coupling, boundary layer-inviscid,

Flow-dependent viscosity,
Flow equations:
averaged,
isothermal compressible,
potential,
Flow exit,
Flow fluxes, mass,
Flow formulation,
Flow modelling, Eulerian,
Flow of gases,
Flow past a cylinder,
Flow past harbour,
Flow problems:
compressible viscous,
fluid,
high-speed,
inviscid,
Flow separation,
Flow vector, mass,
Feeder,
FEM, wave envelope,
Fictitious boundary,
Fighter, supersonic,
Filling of moulds, ,
Fine finite element mesh,
Finite differences,
one-sided,
Finite element:
Galerkin,
/ip-version,
hybrid,
special, Subject index
Flows:
buoyancy driven,
compressible, , ,
high-speed,
exterior. .
free surface, ,
high-speed,
hypersonic,
incompressible,
interior,
laminar,
nearly incompressible,
non-newtonian,
porous media, ,
shallow water,
slow,
super critical,
supersonic,
thermal,
turbulent, ,
turbulent incompressible,
viscoelastic,
Fluid:
Bingham. S
incompressible,
non-newtonian,
stresses in,
Fluid density,
Fluid dynamic,
Fluid dynamics,
Fluid flow problems,
Fluid-structure interaction,
Fluid-structure, submarine,
Fluidized beds, packed and,
Flux:
average,
conductive heat,
mass flow,
Flux conservation, complete,
Flux matrices,
Flux quantities, diffusive,
Forced convection ,
Forces:
boundary,
buoyancy,
convective,
Coriolis,
driving,
gravity,
perturbation,
prescribed,
second-order wave,
wave,
Forces due to breaking,
Forchheimer Number,
Forming:
metal, . ,
polymer,
sheet,
superplastic,
transient metal,
Free boundary condition,
Free surface, – , ,
Free surface flows, ,
Free wave,
Frequency independent mass matrix,
Frequency:
angular,
Friction:
bed, ,
skin,
Friction coefficient:
Manning,
skin,
Frictional dissipation.
Frictional resistance,
Front, shock,
Froude Number, , ,
Fully conservative form,
Fully explicit form,
Fully explicit mode,
Fully implicit form,
Fully incompressible problems,
Function:
converted shape,
linear shape,
oscillatory,
potential,
Functional,
energy,
Functions:
Hankel, ,
trignometric,
vertor-valued,
velocity trial,
weighting,
Galerkin algorithm, characteristic,
Galerkin approximation, ,
( See also Bubnov-Galerkin, Petrov-Galerkin )
Galerkin finite element,
Galerkin Least Squares (GLS),
Galerkin methods, ,
characteristic,
discontinuous,
Galerkin, discontinuous,
Gas constant:
universal, ,
Gas flow:
compressible, ,
high-speed,
gas, compressible, Subject index
flow of,
ideal, ,
incompressible,
Gauss-Legendre integration,
Gaussian distribution,
Generator:
unstructured mesh.
structured mesh,
Geomechanics,
Geometrical factor,
Geometry, die,
GiD,
Gloucester,
GLS,
Governing equations, depth-averaged,
Gradient based procedure,
Gradient based refinement,
Gradient procedures, conjugate,
Gradients, pressure,
Grashoff Number.
Gravity,
Gravity forces,
Green’s theorem,
Grids, unstructured,
Ground, moving,
Group velocity,
Hierarchical form,
Hierarchical formulation,
Hierarchy of boundary operators,
High Reynolds number,
High-speed flow of gases,
High-speed flows, , ,
compressible,
High-speed gas flow,
High-speed vehicles,
Higher Mach numbers,
Higher-order approximations,
Higher-order dampers,
Higher-order interpolations,
Highly anisotropic diffusion,
Hot metals,
Hot water discharge,
hp refinements,
////-version finite element,
Hybrid finite element,
Hybrid mesh,
Hybrid methods,
Hydrodynamics:
ship. .
Hydrofoil:
submerged,
Hydrostatic adjustment,
Hydrostatic pressure, – ,
Hyperbolic duct,
Hyperbolic problems,
Hypersonic flow, ,
//-refinement process,
Half-bandwidth,
Hankel functions, ,
Harbour:
artificial offshore,
flow past,
Long Beach ,
open,
Harbour series, infinite,
Heat:
evolution of,
latent,
specific. . , ,
Heat capacity, averaged,
Heat conduction,
Heat convection,
Heat flux, conductive,
Heat generation terms,
Heat input,
Heat source terms,
Heat transfer,
Heat transport equation,
Heel angle,
Heights, tidal,
Helmholtz equation, , ,
Hemispheric thrust reverser,
Hernker problem,
Hermitian matrix,
Hexahedra,
Idea gas law,
Ideal flow,
Ideal plasticity,
Ill-conditioning,
Implicit form:
fully,
nearly,
quasi-nearly,
Implicit solution,
Incident mode,
Incident waves,
Incompressibility, , , . , S,

Incompressible elastic solids,
Incompressible flow, ,
CBS algorithm,
inviscid,
nearly,
turbulent,
viscous,
Incompressible flow codes.
Incompressible fluid,
Incompressible gases,
Incompressible laminar flow,
Incompressible materials, Subject index
Incompressible Stokes flow.
Indentation problem, punch,
Indirect boundary integral method,
Infinite boundaries,
Infinite elements, ,
Burnett,
conjugated,
ellipsoidal type,
mapped periodic,
static,
unconjugated,
wave envelope,
Infinite harbour series,
Infinitesimal strain,
Infinity, boundary at,
Inflow boundary, supersonic,
Inflow limits,
Inflow, supercritical.
Inlet boundary conditions,
Inlet Mach number,
Input:
data.
heat,
Inside node,
Instability, wave,
Insulations, thermal,
Intake, engine,
Integral method:
direct boundary,
indirect boundary,
Integral models, boundary,
Integrals:
boundary,
domain,
exterior boundary,
Integration:
by parts.
direct,
Gauss-Legendre,
radial,
reduced,
Interaction,
boundary layer,
fluid-structure,
shock,
Interface jumps,
Interior flows,
Intermediate depth water,
Intermediate momentum. .
Internal energy,
Internal stresses,
Internal work dissipation,
Interpolation:
local patch,
Interpolation error, ,
Interpolation methods,
Interpolation of residuals.
Interpolations:
higher-order,
velocity-pressure,
Invariant:
total strain,
Invariants, Riemann,
Inviscid behaviour,
Inviscid Euler solution,
Inviscid examples, three-dimensional,
Inviscid flow,
Inviscid incompressible flow,
Inviscid method, multiblock Euler,
Irrotationality,
Island problem, artificial,
Isothermal compressible flow equations,
Isothermal conditions,
Isothermal flow,
Isothermal form,
Isotropic fluid, linear newtonian,
Isotropic meshes,
Isotropic thermal conductivity,
Isotropic, viscosity,
Iterations, Newton-Raphson ,
Iterative convergence,
Iterative non-linear solution,
Jet, axisymmetric,
Jump:
positive,
Jumps, interface,
Keel,
Kinematic condition,
Kinematic viscosity, .
Kinetic energy,
turbulent,
Korteweg-de Vries equation,
Kronecker delta,
Kutta-Joukoski condition,
Lag-entrainment, ,
Lagrange multipliers,
Lagrangian velocity increment,
Lame notation,
Laminar flow,
incompressible,
Laminar flows,
Lapidus-type artificial diffusion,
Laplace’s equation. ,
Laplacian form,
Large eddy simulation (LES),
Large wave height,
Large-amplitude progressive waves,
Large-amplitude water waves,
Latent heat, Subject index
Mass, lumped,
Mass matrices,
consistent, . ,
lumped, ,
Mass matrix calculation,
Mass matrix:
consistent,
frequency independent,
lumped,
Mass transfer,
Mass transport,
Material code,
Materials, incompressible,
Matrices:
conditioning of system,
consistent mass, , ,
diagonal. ,
flux,
hermitian,
lumped mass, ,
mass,
positive definite,
stiffness
,
Maximum principal curvatures,
Maxwell equations,
Mean water level,
Media flows:
porous, . ,
Medium, porous,
Melenk and Babuska method,
Mesh:
adaptive,
fine,
hybrid ,
isotropic,
locally structured,
moving,
structured, ,
surface,
uniform,
unstructured,
updated,
Mesh data,
Mesh enrichment, ,
Mesh generation:
adaptive,
anisotropic,
structured,
unstructured.
Mesh refinement,
adaptive,
Mesh solution
, coarse,
Mesh subdivisions,
Mesh updating,
Metal forming, ,
transient,
Law:
conservation,
exponential,
idea gas,
plasticity,
Sutherland’s,
Lawrence Livermore Laboratory,
Lax-Wendroff,
Layer:
sponge.
Leaking lid formulation,
Leibnitz rule,
Lid-driven cavity, , ,
Linear newtonian isotropic fluid,
Linear shape function,
Linear triangular elements,
Linking to boundary integrals,
Linking to exterior solutions,
Linking to series solutions,
Local extremum,
Local non-reflecting boundary conditions,
Local patch interpolation,
Local time stepping, ,
Localizing shocks,
Locally structured mesh,
Locked wave,
Locking,
Long Beach harbour,
Long-wave propogation,
Longshore currents,
Low Mach number, . ,
Low Rayleigh number,
Low Reynolds number models,
Lower diagonal term,
Lumped mass, , , .
M tide.
M wing:
ONERA,
Mach , ,
Mach flow,
Mach . ,
Mach contours,
Mach number, , , ,

higher ,
inlet,
low,
lower,
Magnetic field intensity vectors,
Manning friction coefficient,
Mapped periodic infinite elements,
Mapping. DtN,
Mass:
conservation of, , , ,
Mass flow, , Subject index
Metals:
hot,
Meteorology,
Method:
( See also algorithms, procedures, process)
characteristic-Galerkin, – ,
direct explicit,
direct solution,
discontinuous Galerkin,
explicit characteristic-Galerkin,
Galerkin,
hybrid,
interpolation,
lag-entrainment,
multigrid,
Petrov-Galerkin,
pseudo-concentration,
residual based,
shock capture,
Taylor-Galerkin,
Thwaites compressible,
two-step predictor-corrector,
wave envelope,
Minimum curvatures,
Minimum step,
Mixed and penalty formulations,
Mixed convection,
Mixed discretization,
Mixed form,
Mixing length, Prandtl,
Mode:
fully explicit,
incident,
spiral,
Models:
boundary integral,
Boussinesq,
computational,
DARPA submarine,
first-order closure,
K- LJ,
one-equation,
transpiration velocity,
turbulent K-e,
turbulent K-UJ,
turbulence,
two-equation,
Modulus:
bulk, , ,
shear,
Momentum, ,
balance of,
conservation of, ,
intermediate,
Momentum balance,
Momentum calculations, intermediate,
Momentum conservation, ,
Momentum correction,
Momentum equation,
Momentum variables,
Monochromatic plane wave,
Mont St Michel,
Motion :
convective,
equations of,
ship,
Motor car,
Mould filling, –
Moving ground,
Moving mesh,
Multiblock Euler inviscid method,
Multidimensional problems,
Multigrid, ,
Multiple wave directions,
Multiple wave speeds,
Multipliers, Lagrange,
MUSCL scheme,
Mushy regions,
NACA aerofoil, , ,
Natural boundary condition,
Natural condition,
Natural convection, ,
Natural convection in cavities,
Navier-Stokes equations, , , ,

  • , , ,
    Reynolds Averaged,
    Navigation,
    Nearly implicit form,
    Nearly incompressible flows,
    Negative diffusion,
    Negative waves,
    Nevada desert,
    Newton-Raphson iterations,
    No-slip (boundary condition),
    Nodal coordinates,
    Nodal pressure switches,
    Nodal quantities,
    Node:
    boundary, ,
    inside,
    Noise,
    Non-conservative equations,
    Non-conservative form,
    Non-linear solution, iterative,
    Non-linear viscosity,
    Non-linear waves,
    (See also Stokes waves, Korteweg-de Vries
    equation)
    Non-newtonian flows, ,
    Non-reflecting boundary conditions,
    Non-self-adjoint equations, Subject index
    Non-standard weighting,
    Normals:
    advancing boundary,
    surface,
    Number (see also under names of Numbers)
    Courant,
    Darcy, ,
    Forchheimer,
    Froude, ,
    Grashoff,
    higher Mach,
    inlet Mach,
    low Mach, ,
    low Rayleigh,
    Mach, , , ,
    Peclet, ,
    penalty,
    Prandtl, ,
    Rayleigh, ,
    Reynolds, , , , ,
    ,
    wave,
    Numerical approximations,
    Numerical rheology,
    Peclet,
    penalty,
    turbulence,
    Particle size, average,
    Patch,
    Patch interpolation, local,
    Path, circulation,
    Peclet number, ,
    Penalty discretization,
    Penalty formulations,
    Penalty number,
    Pendine Sands,
    Perfectly matched layer (PM L),
    Perfectly reflecting wall,
    Periodic response,
    Periodic tidal motions,
    Permeability,
    Permeable breakwaters,
    Perturbation forces,
    Perturbation, surface,
    Petrov-Galerkin:
    streamline,
    streamline upwind,
    Petrov-Galerkin approximation, – , ,
    , , ,
    Phase change,
    Phase errors,
    Physical experiments,
    Piecewise polynomial basis,
    Plane dampers,
    Plane monochromatic wave,
    Plasticity, ,
    Poisson equation,
    Polar coordinates, spherical,
    Pollutant dispersal,
    Pollutants,
    Pollution error,
    Polymers,
    Polynomial basis, piecewise,
    Porosity,
    Porous media flows, ,
    Positive definite matrix,
    Positive jump,
    Potential,
    body force,
    vector,
    velocity, ,
    Potential element,
    Potential flow, ,
    Potential function,
    Prandtl,
    Prandtl mixing length,
    Prandtl Number, ,
    Predictor-corrector methods, two-step,
    Prescribed boundary velocities,
    Prescribed forces,
    Oblate spheroidal coordinates,
    Oceanographic engineering,
    Oceans,
    Offshore harbour, artificial,
    Offshore structures,
    One dimension, upwinding in,
    One-equation model,
    One-sided finite differences,
    ONERA M wing,
    Open harbours,
    Operators, boundary,
    Optimal damping,
    Optimal upwind parameter, ,
    spurious,
    Oscillation-free solution,
    Oscillations, . , ,
    Oscillatory function,
    Oswald de Wahle law,
    Outer boundary,
    Outflow boundaries, supersonic,
    Outflow limits,
    Output (computer program),
    Overflow,
    Packed and fluidized beds,
    Parabolic shoal,
    Parallel processing,
    Parallization,
    Parameters:
    Coriolis,
    optimal upwind, Subject index
    Prescribed traction boundary conditions, S
    Preservation of mass,
    Pressure, , , ,
    acoustical,
    atmospheric,
    average,
    coefficient of,
    constant,
    hydrostatic,
    surface.
    Pressure contours,
    Pressure distribution,
    Pressure gradients,
    Pressure hydrostatic,
    Pressure switch,
    Pressure vessel,
    Pressure waves,
    Principal curvatures, maximum,
    Principal values (of curvatures),
    Principle:
    variational,
    Procedure:
    ( See also algorithm, method, process)
    adaptive,
    characteristic-Galerkin, ,
    conjugate gradient.
    decay function,
    explicit characteristic Galerkin,
    gradient based,
    iterative solution,
    multigrid,
    Petrov-Galerkin,
    solution,
    stabilization,
    Taylor-Galerkin,
    upwinding characteristic-based.
    Process:
    ( See also algorithm, method, procedure)
    Characteristic-Galerkin,
    Galerkin,
    /(-refinement,
    incompressibility stabilizing,
    Petrov-Galerkin,
    Taylor-Galerkin,
    transient,
    Progressive steepening,
    Progressive waves, large-amplitude,
    Prolate spheroidal coordinates,
    Prolongation operator,
    Propagation speeds,
    Propagation, shock,
    Propogation, long-wave,
    Pseudo-concentration methods,
    Publisher’s web page,
    Punch indentation problem,
    Pure convection, ,
    Pure Euler solution,
    Pure Stokes flow,
    Purely convective form,
    Quadrilateral elements, ,
    Quasi-implicit solution, , ,
    r refinement,
    Radar,
    Radial integration,
    Radiated wave,
    Radiation condition, ,
    Radiation of acoustic waves,
    Radiation problem,
    Radiation stresses,
    Ramp conditions,
    Random fluctuation of velocity,
    Rankine-Hugoniot condition,
    Rate dependence, viscosity-strain,
    Rate tensor, strain,
    Rayleigh number, ,
    low,
    Rayleigh-Bernard convection,
    Re-entrant corners,
    Reaction, chemical,
    Recovery, elastic.
    Rectangular channel,
    Reduced integration,
    Refinement,
    adaptive, , ,
    curvature based,
    gradient based,
    mesh,
    r,
    second,
    Refinements, ftp,
    Reflecting wall, perfectly,
    Reflection:
    shock wave,
    Reflections, undesired,
    Refraction,
    Region:
    exterior,
    mushy,
    shock,
    turbulent,
    Reimann variables,
    Relation:
    dispersion, ,
    Ergun’s,
    Sutherland’s,
    Relationship, state,
    Remeshing:
    adaptive,
    Residual based methods,
    Residual statement, weighted , , Subject index
    Residuals,
    interpolation of,
    Resistance, frictional,
    Resonant cavity,
    Response:
    periodic,
    wave,
    Restoration of connectivity,
    Restriction:
    Babuska-Brezzi (BB), ,
    Retardation,
    Reverser. hemispheric thrust,
    Reynolds averaged Navier-Stokes equations,
    Reynolds averaging,
    Reynolds Number, , , ,
    ,
    high,
    very high,
    Reynolds shear stress,
    Reynolds viscosity,
    Rheology, numerical,
    RHS (Right Hand Side ) vector, ,
    Riemann analysis,
    Riemann invariants,
    Riemann shock tube,
    Rigid-plastic,
    Rip currents,
    River Severn,
    Rivers,
    RMS departure error,
    Rocket,
    Rubbers, synthetic,
    Rudder,
    Runge-Kutta scheme,
    Second-order wave elevation, –
    Sediments, transport of,
    Self-adjoint equation, . ,
    Self-adjointness,
    Semi-explicit algorithms,
    Semi-explicit forms,
    Semi-implicit form, ,
    Semi-inverse coupling,
    Separation,
    boundary layer,
    flow,
    Series solutions,
    exterior,
    linking to,
    Series, infinite harbour,
    Severn barrage,
    Severn bore,
    Severn Estuary, . , ,
    Severn tsunami,
    Severn, River.
    Shallow water flow, ,
    Shallow-water equations,
    Shallow-water problem, ,
    Shallow-water theory,
    Shallow-water transport,
    Shape function:
    converted,
    linear,
    Shape parameter:
    velocity profile,
    Sharp discontinuity,
    Shear modulus,
    Shear stress:
    Reynolds,
    Shear stress coefficient.
    Shear stresses, surface,
    Shear viscosity, dynamic,
    Shear, bottom,
    Shedding:
    eddy,
    vortex,
    Sheet forming,
    Shelving beach,
    Ship,
    Ship hydrodynamics,
    Ship motion,
    Shoal:
    parabolic,
    Shoaling of a wave,
    Shock, . ,
    stationary,
    Shock capture, , . , ,
    ,
    Shock development,
    Shock fitting,
    Shock front,
    Sailing boat,
    Sailing speed,
    Salinity, .
    Scalar convection-diffusion equation ,
    Scalar equations, transient,
    Scalar, steady-state,
    Scattering problem ,
    Scheme:
    CBS,
    explicit,
    MUSCL,
    Runge-Kutta,
    Taylor-Galerkin,
    two-step,
    Seaward limit,
    Secant viscosity,
    Second derivative based methods,
    Second derivative of pressure,
    Second derivative shock capture,
    Second derivatives,
    Second refinement, Subject index
    Shock interaction,
    Shock like behaviour,
    Shock propagation,
    Shock regions,
    Shock tube,
    Riemann,
    Shock wave reflection,
    Shock wave,
    bow,
    Shocks, , , ,
    localizing,
    Short-wave problem,
    Shuttle,
    Side boundaries,
    Side repeated,
    Simulation, direct numerical,
    Single-step algorithm,
    Situations, steady-state,
    Size:
    Solution methods, direct,
    Solution of simultaneous equations,
    Solution procedure,
    Solution procedures, iterative,
    Solver, banded,
    Sommerfeld (radiation condition),
    Sound:
    speed of, , –
    Source,
    Source term,
    variable,
    heat,
    Spatial discretization,
    Special finite elements,
    Specific energy,
    Specific heat, , ,
    constant volume,
    Speed:
    sailing,
    Speed of sound, , ,
    Speeds:
    multiple wave,
    propagation,
    transonic,
    very slow,
    Sphere diffraction, elastic,
    Spherical polar coordinates,
    Spheroidal coordinates:
    oblate,
    prolate,
    Spiral mode,
    Split:
    CBS (Characteristic Based), .
    Chorin,
    operator,
    Split A, , , .
    Split B, , ,
    Sponge layer,
    Spring-back.
    Spurious oscillation,
    Square cavity, closed,
    SSC, THRUST,
    St Michel, Mont,
    Stability, . ,
    Stability condition,
    Stability limit, ,
    Stability, conditional,
    Stabilization, , , , ,
    Stable, unconditionally,
    Stagnation point,
    Stagnation stream ,
    State relationship,
    State, equation of,
    Statement:
    weak,
    weighted residual,
    average particle,
    smallest element,
    Skin friction,
    SLIP,
    Slip boundary,
    Slip conditions,
    Slow flows,
    Slow speeds, very,
    Sluice gate,
    Small waves,
    Smallest element size,
    Smearing, . ,
    Smoothing,
    Solid wall boundary,
    Solidification,
    Solids, incompressible elastic,
    Solitary wave,
    Solution:
    banded,
    boundary,
    boundary layer,
    CBS,
    coarse mesh,
    Euler,
    exterior.
    exterior series,
    implicit,
    inviscid Euler,
    iterative non-linear,
    oscillation-free,
    Navier-Stokes,
    pure Euler,
    quasi-implicit,
    quasi-implicit,
    quasi-implicit,
    series,
    transient, Subject index
    Static infinite elements,
    Stationary shock,
    Steady state, ,
    Steel,
    Steep wave,
    Steepening, progressive, wave
    Step:
    backward facing, ,
    critical time,
    minimum,
    Swansea two,
    Stiffness matrix,
    Stokes equations,
    Stokes flow, ,
    incompressible,
    pure,
    Stokes waves,
    Strain invariant, total,
    Strain rate tensor,
    Strain rates,
    deviatoric,
    Strain:
    deviatoric,
    infinitesimal,
    Stream function calculation,
    Stream:
    stagnation,
    Streamline assembly,
    Streamline balancing diffusion, –
    Streamline direction,
    Streamline Petrov-Galerkin, –
    Streamlines,
    Streamwise velocity,
    Stress:
    deviatoric, ,
    hydrostatic,
    Reynolds shear,
    Stress coefficient, shear,
    Stresses in fluids,
    Stresses:
    bottom drag,
    deviatoric, ,
    internal,
    radiation,
    Reynolds,
    surface shear,
    viscous,
    Stretching ratio, ,
    Stretching, element,
    Structured finite element grids,
    Structured mesh generators,
    Structured mesh:
    locally,
    Structured meshes, ,
    Structured subgrid of elements,
    Structured triangle elements,
    Subdivision:
    unstructured domain,
    Subdivisions, mesh,
    Subdomain collocation,
    Submarine,
    Submarine fluid-structure interaction,
    Submarine model:
    DARPA,
    Submerged hydrofoil,
    Subsonic flow, ,
    Superconvergent values,
    Supercritical flow,
    Supercritical inflow,
    Superplasticforming,
    Supersonic car,
    Supersonic fighter,
    Supersonic flow, ,
    Supersonic inflow boundary,
    Supersonic outflow boundaries,
    SUPG (Streamline Upwind Petrov-Galerkin),
    Surface:
    free, – ,
    wing,
    Surface condition:
    Cauchy-Poisson free,
    free, ,
    Surface flows:
    free, ,
    Surface mesh,
    Surface normals,
    Surface perturbation,
    Surface pressure,
    Surface shear stresses,
    Surface wave,
    Sutherland’s law,
    Swansea,
    Swansea two step,
    Switch,
    pressure,
    Symmetric channel,
    Synthetic rubbers,
    System matrix, conditioning,
    Taylor expansion,
    Taylor-Galerkin, , , , ,
    ,
    two-step,
    Temperature, ,
    absolute, ,
    Temperature-dependent viscosity,
    Tensor, strain rate,
    Tetrahedral elements,
    Theorem:
    Green’s, theory:
    Berkhoffs,
    boundary layer, Subject index
    Theorem
    shallow-water,
    Thermal conductivity, , ,
    Thermal coupling,
    Thermal diffusivity,
    Thermal flows,
    Thermal insulations,
    Thickness:
    boundary layer,
    displacement,
    Three-dimensional inviscid examples,
    Three-dimensional viscous problems,
    Threshold value (of stress, Bingham),
    Thrust reverser, hemispheric,
    THRUST SSC,
    Thwaites compressible,
    Tidal bore
    ,
    Tidal computations, transient,
    Tidal currents,
    Tidal elevations,
    Tidal motions, periodic,
    Tide, M ,
    Time averaged viscosities,
    Time loop,
    Time step:
    critical,
    Time stepping,
    local, ,
    Time stepping options,
    Total depth,
    Total strain invariant,
    Total wave elevation,
    Traction,
    Tractions, boundary,
    Trailing edge,
    Transfer:
    heat,
    mass,
    Transient changes of pressure,
    Transient dampers,
    Transient extrusion,
    Transient metal forming,
    Transient phenomena,
    Transient problems, ,
    Transient response of dipole,
    Transient scalar equations,
    Transient solution,
    Transient tidal computations,
    Transonic speeds,
    Transonic viscous flow,
    Transpiration velocity, ,
    Transport:
    energy,
    mass
    ,
    shallow-water,
    sediment,
    Transport equation, ,
    depth-averaged,
    heat,
    Transport of sediments,
    Trial functions, velocity,
    Triangle elements,
    structured ,
    linear,
    Triangulation, Delaunay,
    Trigonometric functions,
    Tsunami wave,
    Tsunami, Severn,
    Tube:
    Riemann shock,
    shock,
    Tunnel:
    wind,
    Turbomachinery,
    Turbulence, ,
    Turbulence effects,
    Turbulence modelling, ,
    Turbulence structure,
    Turbulent,
    Turbulent eddy viscosity,
    Turbulent flow, , , ,
    Turbulent K-S model,
    Turbulent kinetic energy,
    Turbulent K- UJ model,
    Turbulent region,
    Two-component aerofoil,
    Two-equation models,
    Two-step predictor-corrector methods,
    Two-step schemes,
    Two-step Taylor-Galerkin operation ,
    cont.
    Unbounded domains, waves in,
    Unconditionally stability,
    Unconditionally unstability,
    Unconjugated infinite elements for waves,
    Undesired reflections,
    Uniform mesh,
    Universal gas constant, ,
    Unstable vortex street,
    Unstable, unconditionally,
    Unstructured domain subdivision,
    Unstructured finite elements grids,
    Unstructured grids,
    Unstructured mesh generator,
    Unstructured meshes,
    Updated mesh,
    Updating:
    mesh,
    Upwind difference approximation,
    Upwind parameter:
    critical stable,
    optimal, , Subject index
    Upwind Petrov-Galerkin, streamline,
    Upwinding characteristic-based procedures,
    Upwinding in one dimension,
    User manual,
    User-prescribed time step value,
    dynamic shear,
    flow-dependent,
    kinematic, ,
    non-linear,
    Reynolds,
    secant,
    temperature-dependent,
    turbulent eddy.
    volumetric,
    Viscosity coefficient,
    Viscosity, isotropic,
    Viscosity ratio,
    Viscosity terms, artificial,
    Viscosity-strain rate dependence,
    Viscous boundary layers,
    Viscous diffusive terms,
    Viscous dissipation,
    Viscous drag,
    Viscous effects,
    Viscous flow:
    hypersonic,
    transonic.
    very slow,
    Viscous incompressible flow,
    Viscous problems, three-dimensional,
    Viscous stresses,
    Viscous-inviscid coupling,
    Volumetric viscosity,
    Von Karman vortex street,
    Vortex shedding,
    Vortex street:
    unstable,
    Von Karman,
    Value:
    threshold ( of stress, Bingham ),
    Values, principal (of curvatures),
    superconvergent,
    Variable:
    auxiliary,
    characteristic,
    choice of,
    conservative,
    momentum ,
    Reimann,
    temperature,
    Variable source term,
    Variable width,
    Variational principle,
    Variational treatment,
    Vector:
    mass flow,
    RHS,
    Vector potentials,
    Vector-valued functions,
    Vehicles, high-speed,
    Velocities, prescribed boundary,
    Velocity:
    acoustic wave,
    convection,
    group,
    streamwise,
    transpiration,
    Velocity components,
    Velocity increment, lagrangian.
    Velocity model, transpiration,
    Velocity potential, ,
    Velocity profile shape parameter,
    Velocity trial functions,
    Velocity-pressure interpolations,
    Very high reynolds Number.
    Very slow speeds,
    Very slow viscous flow,
    Vessel:
    pressure,
    Vessels,
    Viscoelastic flows,
    Viscoplasticity,
    Viscosities:
    artificial,
    time averaged,
    Viscosity, , ,
    anisotropic,
    dynamic,
    Wake,
    Wall boundary:
    solid , .
    Wall, perfectly reflecting,
    Water:
    deep,
    intermediate depth,
    objects in,
    Water depth,
    Water discharge, hot,
    Water flow:
    shallow,
    Water level, mean ,
    Water waves:
    large-amplitude, .
    Wave:
    bow shock,
    free,
    locked,
    plane monochromatic,
    radiated,
    solitary, Subject index
    incident,
    large-amplitude, ,
    negative,
    non-linear,
    plane,
    pressure,
    radar,
    radiated,
    shock,
    small,
    solitary,
    Stokes,
    tsunami,
    Waves in closed domains,
    Waves in unbounded domains,
    Weather prediction,
    Web page, publisher’s,
    Weighted residual statement, ,
    Weighted residual treatment,
    Weighting:
    complex conjugate,
    Galerkin,
    Galerkin Bubnov,
    non-standard,
    Petrov-Galerkin,
    streamline Petrov-Galerkin,
    Weighting functions,
    Weighting method, complex conjugate,
    Width, variable,
    Wind drag,
    Wind tunnel,
    Wing:
    ONERA M ,
    Wing surface,
    Wave
    steep,
    surface,
    tsunami,
    Wave celerity,
    compressible,
    Wave component,
    Wave diffraction,
    Wave directions, multiple,
    Wave domains, general,
    Wave elevation, ,
    second-order,
    total,
    Wave envelope, ,
    Wave envelope infinite elements,
    Wave equation,
    Helmholtz,
    Wave forces,
    second-order,
    Wave height amplification,
    Wave height, large,
    Wave instability,
    Wave nature of solution,
    Wave pattern,
    Wave problems:
    electromagnetic,
    exterior,
    Wave reflection, shock,
    Wave response,
    Wave speeds, multiple,
    Wave velocity, acoustic,
    Wavelength,
    Wavenumber, ,
    Waves:
    acoustic, ,
    cnoidal,
    elastic,
    electromagnetic, ,
    K- LJ model (turbulence),
    K-e model (turbulence),
    Author index
    Page numbers in bold refer to the list of references at the end of each chapter.
    Abbott, M.B. ,
    Adey, R.A. ,
    Ainsworth, M. ,
    Akin, J.E. ,
    Alexander, J.M. ,
    Altan, A T. ,
    Argyris, J.H. ,
    Ashida, H . ,
    Astley, R.J. , , , ,
    , ,
    Aswathanarayana, P.A. ,
    Atkinson, B. ,
    Atkinson, J.D. ,
    Austin, D.I. ,
    Ayers, R. , ,
    Benque, J.P. ,
    Benson, DJ. ,
    Bercovier, H. ,
    Bercovier, M. ,
    Berger, M.J. ,
    Berkholf, J.C.W. , ,
    Bermhorst, K , ,
    Bermudez, A. ,
    Bettess, J.A. , , ,
    Bettess, P. , ,
    , , , , ,
    , , , ,
    Bhandari, D.R. ,
    Bhargava, P. , ,
    Bilger, R.W. ,
    Billey, V. , ,
    Bishop, A.R. ,
    Biswas, G. , ,
    Blasco, J. ,
    Bonet, J. , , ,
    Boris, J.P. ,
    Borouchaki, H. , ,
    Bottura, L. ,
    Bourgault, Y. ,
    Bova, S. ,
    Bradshaw, P. ,
    Brakalmans, W.A.M. ,
    Brebbia, C.A. ,
    Brezzi, F. ,
    Briard, P. ,
    Brook, D.L. ,
    Brookes, P.J. ,
    Brooks, A.N. , , ,
    Brooman, J.W.F. ,
    Budiansky, B. ,
    Burnett, D.S. , , ,
    Burton, A.J. ,
    Butler, M.J. ,
    Baaijens, F.P.T. ,
    Babau, A.V.R. , ,
    Babuska, I. , , ,
    Bai, KJ. ,
    Baker, A.J. ,
    Baker, T.J. ,
    Balaji, P.A. ,
    Baldwin, B.S. ,
    Bando, K. , ,
    Baron, J.R . ,
    Barrett, K.E. ,
    Batchelor, C.K. ,
    Baum, J.D . ,
    Baumann, C.E. , ,
    Bay, F. ,
    Bayliss, A. ,
    Bayne, L.B . ,
    Beck, R .F. ,
    Behr, M. ,
    Bejan, A. ,
    Bellet, M. ,
    Belytschko, T. , Author index
    de Sampaio, P.A.B. ,
    de Villiers, R. ,
    Del Cuidice, S. ,
    Demkowicz, L. , , ;
    ,
    Denham, M.K. ,
    Derviaux, A. ,
    Desaracibar, C.A. ,
    Devloo, P. ,
    Dewitt, D.P. ,
    Ding, D. ,
    Dinh, H. ,
    Dompierre, J. ,
    Donea, J. , ,
    Douglas, J. (Jnr) ,
    Downie, M.J. ,
    Duncan, J.H. ,
    Dupont, I. ,
    Dupont, S. ,
    Durany, J. ,
    Dutra Do Carmo, E.G. ,
    Cao, Y. ,
    Card, C.C.M. ,
    Cardie, J.A. ,
    Ccirew, E.O.A. ,
    Carey, G.F. , ,
    Carter, J.E. ,
    Casciaro, R . ,
    Castro-Diaz, M.J. , ,
    Caswell, B. ,
    Cavendish, J.C. ,
    Cervera, M. ,
    Chadwick, E. ,
    Chan, A.H.C. ,
    Chan, S.T. ,
    Charpin, F. ,
    Chartier, M. ,
    Chastcl, Y. ,
    Chaudhuri, A.R. ,
    Chen, A.J. ,
    Chen, C.K. ,
    Chen, H.S. , ,
    Cheng, C.Y. ,
    Chenot, J.L. , ,
    Chiam, T.C. ,
    Chippada, S. ,
    Chorin, A.J. ,
    Chow, R.R. ,
    Christie, I. ,
    Christon, M.A. ,
    Chung, T.J. ,
    Cipolla, J.L. ,
    Clark, P.J. , ,
    Codina, R . , , , ,
    , , , ; ,
    , , , ,
    , ,
    Colella, P. ,
    Comini, G. ,
    Connor, J.J. ,
    Cornfield, G.C. ,
    Courant, R. ,
    Coyette, J.P. , ,
    Craggs, A. ,
    Cremers, L. , ,
    Crepon, M. ,
    Crochet, M.J . ,
    Cullen, M.J.P. ,
    Currie I.G. ,
    Eiseman, P.R. ,
    Ellwood, K. ,
    Emson, C. , ,
    Engleman, M.S. ,
    Engquist, B. ,
    Ergun, S. ,
    Esche, S.K. ,
    Evans, A. ,
    Eversman, W. ,
    Ewing, R.E. ,
    Fenner, R.T. ,
    Feshbach, H. ,
    Field, D A. ,
    Fix, G.J. ,
    Flanagan, D.P. ,
    Fleming, C.A. ,
    Foreman, M.G.G. ,
    Formaggia, L. ,
    , ,
    Fortin, M. , ,
    Fortin, N. ,
    Fourment, L. ,
    Franca, L.P. ,
    Frey, P.J. ,
    Frey, W.H. ,
    Fyfe, K.R . ,
    Dalsecco, S. ,
    Dannenhofer, J.F. ,
    Daubcrt, O. ,
    Davies, A.R. ,
    Davis, J. ,
    Dawson, C.W. ,
    Dawson, P.R. ,
    Galeao, A.C. ,
    Gallagher, R.H. ,
    Gangaraj, S.K. ,
    Garg, V.K. ,
    Geers, T.L. , ,
    George, P.L. , , , Author index
    Hirsch, C. ,
    Hirt, C.W. ,
    Hoffman, J.D. ,
    Holford, R.L. , ,
    Hood, P. , ,
    Houston, J.R. ,
    Huang, G.C. , ,
    Huang, M.S. ,
    Huerta, A. ,
    Huetnik, J. , ,
    Hughes, T.G. ,
    Hughes, T.J.R . , , , , ;
    ,
    Hulbert, G.M. ,
    Hulburt, H.E. ,
    Huyakorn, P.S. ,
    Hydraulic Research Station ,
    Gerdes, K. , ,
    Ghia, K.N. , ,
    Ghia, U. , ,
    GiD, International Center for Numerical
    Methods in Engineering ,
    Girodroux-Lavigne, P. ,
    Giuliani, S. ,
    Givoli, D. , ,
    Gladwell, G.M.L. ,
    Gnoffo, P.A. ,
    Godbole, P.N. , ,
    Goudreau, G.L. ,
    Goussebaile, J. ,
    Gowda, Y.T.K. ,
    Gray, W. ,
    Gray, W.G. ,
    Gray, W.R. ,
    Green, A. ,
    Green, J.E. , ,
    Green, P.J. ,
    Gregoire, J.P. ,
    Gresho, P.M. ,
    Griffiths, D.F. , ,
    Griffiths, D.V. ,
    Gunzberger, M. ,
    Guymon, G.L. ,
    Idclsohn, I.R. ,
    Idelsohn, S.R. ,
    Ihlenburg, F. ,
    Inagaki, K. ,
    Incropera, F.P. ,
    Irons, B.M. ,
    Isaacson, E. ,
    Ito, H. ,
    Habashi, W.G. ,
    Hackbush, W. ,
    Hall, C.D. ,
    Halleux, J.I. ,
    Hallquist, J.O. ,
    Halpern, P. ,
    Haltiner, G.J. ,
    Hansbo, P. ,
    Hara, H. ,
    Harbani, Y. ,
    Hardy, O. ,
    Hassan, O. , , , ;
    , , , ,
    , , , , ;
    , ,
    Hauguel, A. ,
    Hause, J. ,
    Hearn, G.E. ,
    Hecht, F. , ,
    Heinrich, J.C. , , ,
    ,
    Herrmann, L.R. ,
    Hervouet, J. ,
    Hetu, J.F. ,
    Hindmarsh, A.C. ,
    Hino, T. ,
    Hinsman, D.E. ,
    Hirano, H. ,
    Hiriarl, G. ,
    Jain, P.C. ,
    Jaluria, Y. ,
    Jameson, A. , ,

Jami, A. ,
Janson, C. ,
Jenson, G. ,
Jiang, B .N. ,
Jimenez, J. ,
Jin, H. ,
Johan, Z. , ,
Johnson, C. , ,
Johnson, R.H. ,
Johnson, W. ,
Jones, J. ,
Jue, T.C. ,
Kakita, T. ,
Kallinderis, Y. ,
Kamath, M.G. ,
Kanehiro, K. ,
Kashiyama, K. ,
Kaviany, M. ,
Kawahara, M. , , ,

Kawasaki, T. ,
Kawka, M. ,
Kelly, D.W. , ,
, Author index
Kennedy, J.M. ,
Keunings, R . ,
Kim, Y.H. ,
Kinzel, G.K. ,
Kleiber, M. ,
Kobayashi, S. ,
Kodama, T. ,
Kong, L. ,
Kumar, K.S.V. , ,
Kumar, S.G.R . ,
Kuo, J.T. ,
Lynch, D.R. , ,
Lyra, P.R.M. ,
, ,
Macauley, G.J. , ,
McCarthy, J.H. ,
MacCormack, R.W. ,
Mahesh, K. ,
Majda, A. ,
Maji, P.K. ,
Makinouchi, A. ,
Malamataris, N. ,
Malett, M. ,
Malkus, D.S. ,
Malone, T.D. ,
Manzari, M.T. , ,
, ,
Marchal, J.M. ,
Marchant, M.J. , ,
Labadie, C. ,
Labadie, G. ,
Laghrouche, O. , ,
Lahoti, G.D. ,
Lai, G.K. ,
Lam, C.K.G. , ,
Lamb, H. , ,
Landu, L.D. ,
Lapidus, A. ,
Larsson, L. ,
Latteaux, B. ,
Lau, L. ,
Laug, P. , ,
Launder, B.E. ,
Lauriat, G. ,
Laval, H. ,
Lax, P.D. ,
Le Balleur, J.C. ,
Lee, C.H. ,
Lee, J.H.S. ,
Lee, J.H.W. ,
Lee, J.K. ,
Lee, R.L. ,
Lee, S.C. ,
Lee, T.H. ,
Legat, V. , ,
Leonard, B.P. ,
Lcsicur, M. ,
Levine, E. ,
Levy, J.F. ,
Lewis, R.W. , ,

Marcum, D.L. ,
Mareczek, G. ,
Marshall, R.S. ,
Martinelli, L. ,
Martinez, M. ,
Massarotti, N. , ,
Massoni, E. ,
Matallah, H. ,
Mavripolis, D.J. ,
Maxant, M. ,
Mead, H R. ,
Mei, C.C. , , ,
,
Melenk, J.M. ,
Mellor, P.B. ,
Melnok, R.E. ,
Metais, O. ,
Minev, P.D. ,
Mira, P. ,
Mitchell, A.R. , ,
Mohammadi, B . , ,
Moin, P. ,
Morgan, K. , , , , ; ,
, , , ,
, ,
, , , , ,
, , , , ,
, , , , ;
, , , ;
,
Morse, P.M. ,
Morton, K.W. ,

Lick, W. ,
Lifshitz, E.M. ,
Lighthill, M.J. ,
Lin, P.X. ,
Liou, J. ,
Liu, Y.C. , , ,
,
Lohncr, R. , , , ,
, ,
,
Lopez, S. ,
Lucas, T. ,
Nakayama, T. ,
Nakazawa, S. , , ,
, Author index
Nakos, D.E. ,
Narayana, P.A.A. , , ; ,
Pittman, J.F.T. , ,
Posse, M. ,
Postek, E. ,
Prasad, V. ,
Price, J.W.H. ,
Probert, EJ. , , ,
, ,
Prudhomme, S. ,

Navert, V. ,
Navon, I.M. ,
Newton, R.E. ,
Nguen, N. ,
Nichols, B . D. ,
Nickell, R.E. ,
Nicolaides, R.A. ,
Nield, D.A. ,
Nithiarasu, P. , , ,
, , , ; ,
, , ,
, , ,
,
Noble, R. ,
Noblesse, F. ,
Nonino, C. ,
Quatrapelle, L. ,
Rachowicz, W. , ,
Raithby, G.D. ,
Raj, K.H. ,
Ramaswamy, B. ,
Rannacher, R. ,
Raveendra, V.V.S. ,
Raven, H. ,
Ravindran, K. , ,
Ravisanker, M.S. ,
Rebelo, N. ,
Rees, M. ,
Reinhart, L. ,
Ren, G. ,
Reynen, J. ,
Rice, J.G. ,
Richez, M.C. ,
Richtmyer, R.D. ,
Rivara, M.C. ,
Roach P.J. ,
Rogallo, R. ,
Rojek, J. , ,
Rubio, C. ,
Runchall, A.K. ,
Russell, T.F. ,
O’Brien, J.J. ,
O’Carroll, M.J. ,
Oden, J.T. , , ,
, , ,
Oh, S.I. ,
Ohmiya, K. ,
Oliger, J. ,
Onate, E. , , ,
,
Ortiz, P. , , ; ,
,
Pagano, A. ,
Paisley, M.F. ,
Palit, K. ,
Palmeiro, B. ,
Palmeiro, P. ,
Papanastasiou, T.C. ,
Pastor, M. , , ; ,
Sacco, C. ,
Saffman, P. ,
Sai, B .V.K.S. , , ; ,
, ,
,
Said, R. ,
Sakhib, F. , ,
Saltel, E. , ,
Sani, R.L. ,
Sarpkaya, T. ,
Sastri, V. ,
Scavounos, Pd. ,
Schafer, U. ,
Schlichting H. ,
Schmidt, W. ,
Schmitt, V. ,
Schneider, G.E. ,
Schnipke, R.J. ,
Schoombie, S.W. ,
Schrefler, B.A. ,

Patil, B.S. ,
Patnaik, B.S.V.P. ,
Patrick, M .A . ,
Peiro, J. , ,
, ,
Pelletier, D.H . ,
Peraire, J. , , , ; ,
Pcriaux, J. ,
Perrier, P. ,
Pironneau, O. ,
Pitkaranta, J. ,
Pittman, J.F. , Author index
Schreurs, P.J.G. ,
Schroeder, WJ. ,
Scott, V.H. ,
Seetharamu, K.N. , , ;
, , ,
Selmin, V. ,
Shephard, M.S. ,
Shimizaki, Y. ,
Shimura, M ,
Shin, C.T. , ,
Shiomi, T. ,
Shirron, J.J. ,
Sibson, R. ,
Sinha, S.K. ,
Smolinski, P. ,
Sod, G. ,
Soding, H. ,
Soni, B.K. ,
Sosnowski, W. ,
Spalding, D.B. ,
Squire, H.B. ,
Srinivas, M. ,
SSC Program Ltd. ,
Stagg, K.G. ,
Staniforth, A.N. ,
Steger, J.L. ,
Stewart, J.R. , ,
Storti, M.A. ,
Stoufflet, B. ,
Strada, M. ,
Strouboulis, T. ,
Subramanian, G. ,
Sugawara, T. ,
Sujatha, K.S. ,
Suli, E. ,
Sundararajan, T. , ,
, , , ; ,
Tien, C.L. ,
Townsend, P. ,
Toyoshima, S. , ,
Tremayne, D. ,
Trottenberg, U. ,
Tsubota, K. ,
Turkel, E. ,
Turner-Smith, E.A. ,
Upson, C.D. ,
Usmani, A.S. ,
Utnes, T. ,
Vadyak, J. ,
Vafai, K. ,
Vahdati, M. , ,
,
Vallet, M.G. ,
van dcr Lugt, J . ,
Vazquez, C. ,
Vazquez, M. , , , ;
, , , ,
, ,
Veldpaus, F.E. ,
Verhoeven, N.A . ,
Vilotte, J.P. ,
von Neumann, J. ,
Walters, K. ,
Wang, H.H. ,
Wang, N.M. ,
Ward, S. ,
Wargedipura, A.H.S. ,
Watson, D.F. ,
Weatherill, N.P. , , ,
, ,
, , , , ; ,
,
Webster, M.F. ,
Weeks, D.J. ,
Wehausen, J.V. ,
Wendroff, B. ,
Westermann, T.A. ,
Wheeler, M.F. ,
Whitham, G.B. , ,
Wieting, A .R. , ,
Wifi, A.S. ,
Wille, D.R. ,
Williams, R.T. , ,
Wolfstein, M. ,
Wong, K.K. ,
Wood, R.D. , ,
Wood, R.W. ,
Woodward, E. ,
Woodward, P. ,
Wray, A. ,

Swith, I. ,
Szcpcssy, A. ,
Szmelter, J. ,
Takeuchi, N. ,
Tam, A. ,
Tam, Z. ,
Tamaddonjahromi, H . R . ,
Tanner, R . l . ,
Taylor, C. ,
Taylor, R.L. , ,
Temam, R. ,
Tezduyar, T.T.I. ,
Tharcja, R.R. , ,
Thomas, H.R. ,
Thompson, E.G. ,
Thompson, J.F. ,
Thompson, L.L. , Author index
Zhu, J.Z.
Ziegler, C.K. ,
Zienkiewicz, O.C.
Wu, J.
Wu, J.F. ,
Wu, W. ,
Yagewa, G. ,
Yahia, D.D. D. ,
Yang, C. ,
Yiang, C.B. ,
Yoshida, T. ,
Yoshimura, T. ,
Young, A.D. ,
Yovanovich, M.M. ,
Yu, C.C. ,
Zalesiak, S.T. ,
Zhang, Y. ,

كلمة سر فك الضغط : books-world.net
The Unzip Password : books-world.net

تحميل

يجب عليك التسجيل في الموقع لكي تتمكن من التحميل
تسجيل | تسجيل الدخول

التعليقات

اترك تعليقاً