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Wesseling P. — Principles of computational fluid dynamics
Wesseling P. — Principles of computational fluid dynamics



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Название: Principles of computational fluid dynamics

Автор: Wesseling P.

Аннотация:

A text for graduate students, researchers, engineers and physicists working with flow computations. Gives an up-to-date account of the most current numerical methods employed in computational fluid dynamics. Gives special attention to stability analysis.


Язык: en

Рубрика: Математика/Численные методы/Моделирование физических процессов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 644

Добавлена в каталог: 20.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Expansion wave      406
Explicit scheme      171
Extrapolated BDF scheme      197
Extremum, local      68 118 121 124
Fan      370—373 379
Fast Fourier Transform      292 293
Fast Poisson solver      263 278 292 303
Favre average      40
Fick’s law      34
Finite difference      4 81 84 87 91 95 99
Finite element      4 557
Finite volume      4 53 81 84 86 87 91 95 99 100 114 135 232 233 241 243 414 511 533 536 543 549 584 590
First law of thermodynamics      19 20
First order upwind scheme      148 176 237
FISHPACK      264
Flow separation      32
Fluctuation      40
Fluid interface      3
Flux      100 114
Flux limited scheme      154 158 225 381
Flux limiter      153
Flux limiter diagram      157
Flux limiting      148 150 360 380
Flux splitting      98
Flux splitting scheme      384 436 441 445 456 512 526 527 569
Flux vector      34
Flux, convective      100
Flux, viscous      100
FOC scheme      176 178 180 182—184 193 195 197
Fourier, analysis      168 171
Fourier, discrete transform      172
Fourier, fast — transform      292 293
Fourier, integral      351
Fourier, law      20 34
Fourier, smoothing analysis      291
Fourier, stability analysis      253
Fourier, transform      174 176
Fourth order central scheme      150 176 193
Fractional step method      251
Free convection      43 46
Free index      486
Free surface      3 48
Free surface condition      230 238 551 554
Friction      17
Frictional heating      21 24 25
Fromm scheme      149 158 160 348 358
Froude number      308 309
Frozen coefficients method      171
Function space      62
Gasdynamics analogy      52
Gauss — Seidel method      268 269 292 301
Gauss — Seidel method, backward      273 283
Gauss — Seidel method, distributive      298
Gauss — Seidel method, forward      273 283
Gauss — Seidel method, nonlinear      290 298
Gauss — Seidel method, symmetric      283
Gauss — Seidel method, symmetric coupled      300
Gauss — Seidel, alternating damped zebra      270
Gauss — Seidel, alternating symmetric line      270
GCR method      273 275 278 282 284
GCR method, acceleration by —      276
GCR method, preconditioned      276
GCR method, rate of convergence      275
GCR method, restarted      275
GCR method, truncated      275
Gear scheme      190
Generalized conjugate residuals method      273
Generalized minimal residual method      276
Geometric identity      478
Geophysical fluid dynamics      305
Geophysics      49
Gibbs equation      23
GMRES method      276 278 282 284
GMRES method, preconditioned      277 303
GMRESR method      276 278
Godunov, flux      380 396
Godunov, order barrier theorem      340 341 344 346 359 378
Godunov, scheme      379 380 414 415
Gram — Schmidt orthogonalization      274
Grashoff number      46 228
Gravity      43 48
Grid refinement, adaptive      122
Grid refinement, local      122
Grid, boundary-fitted      293 303 468 469 471 472 503 517 527—529 531 557
Grid, Cartesian      468 469 557 562
Grid, colocated      467
Grid, generation      472
Grid, generation, boundary-fitted      473
Grid, multi-block      562
Grid, orthogonal at boundary      551
Grid, staggered      467
Grid, structured      467—469 503 511 531
Grid, unstructured      468 469
Group velocity      309 320 327 356
Group velocity, numerical      320 356
Hadamard’s problem      63
Hansen scheme      316 320 322 329
Harmonic average      87
Heat, conduction      25
Heat, conductivity      36
Heat, flux      20
Heat, transfer      22 25
Heat, transfer, equation      25
Helmholtz, equation      64
Helmholtz, representation      7
Heun, method of      387 458
hexahedron      469 470 478 503
High performance computing      264
Homentropic      24 26 30 32 33
Homogeneous transformation      487 488
Hybrid scheme      128 132 205 233 237
Hydraulics      305
Hydrostatic equilibrium      44 45
Hyperbolic      54 55 58 70 72 76 112 305 306 325 339 400
Hyperbolic strictly      400
Hyperbolic system      505
Hypersonic      3
ICCG method      284
Ideal fluid      27 28 32
Ill-conditioned      568
Ill-posed      63 116
ILU      270 273 278 284 292 299 300
ILU, distributive      299 301
IMEX scheme      196 197 224 256 258 557
IMPES model      83
Incomplete factorization      284
Incomplete LU factorization      299
Incompressibility      13
Incompressibility, conditions for      36 37
Incompressible      3 12 29 34 36
Inconsistent      101 103
Inertia      14 17
Inertial frame      47
Inflow boundary      76 77 98 116 117 532
Inflow condition      247
Initial condition      64
Inner equation      73 74
Inner solution      73 74 142
Instability      164
Instable      119 169 313
Interface problem      82 84 87 88
Internal energy      19 22
Internet      4 264 293 472 560
Interstellar medium      2
Invariance      485 487
Invariant form      484 485 549
Inverse monotonicity      368
Inviscid      30
Irreversibility      21 57 65 367
Irrotational      6 29 30
Isentropic      24 33 34 36
Isothermal      25
Iteration matrix      265
Iteration method      263
Iteration method, stationary      264 269 273 276 278 282 286 291 297
Iteration method, stationary, accelerated      269
Iteration method, stationary, multigrid acceleration of—      291
ITPACK      264
Jacobi method      268 269
Jacobi method, damped alternating line      270
Jacobian of coordinate mapping      8 476 477 480 485 492
Jacobian of flux function      398 505
Jacobian, spectral number      568
Jameson — Schmidt — Turkel scheme      388 447 569
JST scheme      388 447 449 450 455 456 503 525
JST scheme, TVD version      391
Jump condition      83 364—366 371 373 374 384 395 403
Kappa scheme      148 149 158 175 176 178—180 182—184 197 206 209 225 234 237 242 255 257 347—349 355 357 359 360 380 381 457 459 528 529 537 597
Karman vortex street      563
Kelvin, circulation theorem      28
Kelvin, scale      22
kinetic energy      19
Knudsen number      2
Kolmogorov scale      38
Kronecker tensor      489
Krylov subspace      271
Krylov subspace acceleration      298
Krylov subspace method      269 270 273 275 285 290 303
Krylov subspace method, acceleration      273
Krylov subspace method, acceleration of multigrid by —      291
Krylov subspace method, preconditioned      278 284 293
Krylov subspace method, preconditioned with multigrid      303
Krylov subspace method, rate of convergence      272
Krylov subspace, optimal approximation      273
Kutta condition      64
Lagrange multiplier      249
Lagrangean formulation      3
Laminar      3 4 42
LAPACK      264
Laplace      18
Laplace, equation      30 55 59 66
Laplacian in general coordinates      501
Large-eddy simulation of turbulence      39 189 191 223 254 292
Large-eddy simulation of turbulence, computing cost      39
Large-eddy simulation of turbulence, databases      39
Latitude      49
Lax — Friedrichs scheme      349 360 375 378 396
Lax — Wendroff scheme      348 355—360 380 388
Lax — Wendroff theorem      376
Lax’s equivalence theorem      168
Leapfrog scheme      314 321 323
Leapfrog-Euler scheme      185 191 253 255
Leendertse scheme      319 322 331 334
Length scale      163 208 222
Leonardo da Vinci      18
Lift      32 522 567
Limiter      155 382 390 391 395 457
Limiter, minmod      161
Limiter, PL      161
Limiter, superbee      159
Limiter, van Albada      159 457 527 529 597
Limiter, van Leer      159
limiting      209 234
Linear transformation      487 488
Liou — Steffen scheme      441 466 516 524
Local grid refinement      120—122 127
Local mesh refinement      119 148
LU factorization      268
M-matrix      97 98 104 225
MAC scheme      540
MacCormack scheme      375 380
Mach, conoid      507
Mach, number      3 31 37 567
Mapping, boundary-fitted      470
Mapping, conformal      470
Mapping, orthogonal      471
Mapping, piecewise multilinear      472 474
Mapping, piecewise trilinear      478 538
Marker-and-cell scheme      540
Matched asymptotic expansion      142
Matching principle      73 75 76 78
Material contour      11
Material curve      28 29
Material particle      3 9—12 19 20 24 29 33 34 48
Material property      9 33
Material surface      29
Material volume      10 14 20
Matrix, adjoint      331
Matrix, distribution      302
Matrix, Hessenberg      277
Matrix, irreducible      267 268
Matrix, K-      267 268 294 302
Matrix, M-      266—268 278 291 294 299
Matrix, normal      265 331
Matrix, unitary      272 331
Maximum Modulus Principle      220
Maximum, local      67 69 124
Maximum, principle      53 66 67 69 104 116 119 123 124 132 138—140 146 163 170
Mean      40 41
Mean free path      2
Mean, density-weighted      40
Mesh Peclet condition      96 125
Mesh Peclet number      97 104 117 120 121 126 128 180 209 213 215 222
Metric tensor      494
Metric tensor, contravariant      494
Metric tensor, covariant      494
Metric tensor, covariant derivative      499
Metric tensor, mixed      494
Minimum, local      68
Minimum, principle      69 170
Mixed derivative      53 270 293 297
Mixed method      191
Momentum equation      14
Momentum equation, depth-averaged      49 51
Monge, conoid      507
Monge, potential      7
Monotone      116 118 122 125 126 340
Monotone, scheme      69 377 380 382 384
Monotone, solution      392
Monotonicity preserving      339—341 343 344 346 368 369 382
Multigrid      269 270 285 292 293 295 300 301 303 469
Multigrid as preconditioner      291
Multigrid, acceleration      298 303
Multigrid, approximation property      298
Multigrid, computing work      288 289
Multigrid, efficiency      288
Multigrid, full      289
Multigrid, Galerkin coarse grid appoximation      300
Multigrid, nonlinear — method      290
Multigrid, smoothing factor      299
Multigrid, smoothing property      298
Multigrid, storage requirements      289
Multilevel method      285
Multiphase flow      2 3 12
MUSCL      380 456 458 459 512 518 523 527 528 589
Navier — Stokes equations      3 15 227 531 533 535 543 567
Navier — Stokes equations, dimensionless      17 228
Navier — Stokes equations, Reynolds averaged      40
Nested iteration      289
Neumann      62 68 69 79 90 93 95 107 112 116 120 133 229 532
Newton      1
Newton, Principia      1
Newton, stress hypothesis      1
Newtonian fluid      15
Newton’s method      234
No-slip condition      51 229 245 524 532 550 562
Nonconservative scheme      373 374 376
Nonconservative variables      399
Nonmonotone scheme      377
Norm, $l_2$      88 172
1 2 3 4
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