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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
AB2 scheme      186 188 189 206 207
AB3 scheme      189 207
Absolute stability      168
Absolute temperature      22
Acceleration method      269
Accuracy      163
Accuracy, uniform      122 127 146 147
Acoustic modes      569 579
Acoustics      35 37 570 579 581
Adams — Bashforth scheme      185 186 189 194 226 249 254
Adams — Bashforth — Crank — Nicolson scheme      196 218 226 256
Adams — Bashforth — Euler scheme      194
ADI scheme      331 333 334
ADI scheme, loss of accuracy      333
Adiabatic      27 532
Adiabatic flow      23 24
Adiabatic process      23
Aerothermochemistry      3
Amplification factor      173 219 220
Amplification matrix      313
Amplification polynomial      199
Approximation property      287 288
Arakawa grids      328
Archimedes      564
Area of cell      476 477
Area of cell face      482
Aristotle      43
Artificial compressibility method      240
Artificial diffusion      223 574 575 577
Artificial dissipation      389—391
Artificial viscosity      127 388 389 568
Artificial viscosity scheme      381 388
Artificial viscosity scheme, TDV      389
Asselin filter      194 254 255
Asymptotic expansion      52
AUSM scheme      441 442 466 516 524 525
Backward error analysis      108
Backward facing step      245 562
Barotropic      25 26 28—30 32
Barrier function      138 140
BDF scheme      190 218
BDF scheme, extrapolated      218 226
Beam — Warming scheme      349
Benchmark problem      561—563
Bernoulli’s law      437 448
Bernoulli’s theorem      27 31 248
Bernoulli’s theorem, applied to chimney problem      248
Bi-CGSTAB method      278 284
Bi-CGSTAB method, postconditioned      285
Bi-conjugate gradient stabilized method      284
Bicharacteristics      507 508
BLAS      264
Blasius resistance formula      38
Block-centered discretization      102
Body force      14 20
Bottom friction      51 52 309 315 323 326 327 334 336 338
Bottom roughness      51
Boundary condition      61 62 65 69 75 89 229 237 243 244 508 532 535 550 582 584 591
Boundary condition for convection equation      350
Boundary condition for Euler equations      402
Boundary condition for shallow-water equations      310 327
Boundary condition, absorbing      212
Boundary condition, artificial      350 351 355 521
Boundary condition, far-field      522
Boundary condition, free surface      551 554
Boundary condition, numerical      518 519
Boundary condition, periodic      213
Boundary condition, solid boundary      520
Boundary condition, subsonic inflow      519
Boundary condition, subsonic outflow      520
Boundary condition, supersonic inflow      519
Boundary condition, transparent      212 214 230 521
Boundary condition, weakly reflecting      212 328
Boundary layer      2 32 70 75 76 111 116 120 127 142 224 532 567
Boundary layer, equation      72 73 76—78
Boundary layer, numerical      121 211
Boundary layer, ordinary      76 78 146
Boundary layer, parabolic      76 78 135 146
Boundary layer, solution      76
Boundary-fitted coordinates      467 470 538
Boussinesq, closure hypothesis      41 42
Boussinesq, dimensionless      46
Boussinesq, equations      45—47 563
Buckley — Leverett equation      371 373
Buoyancy      563
Buoyant flow      228
Burger number      327
Burgers equation      363 365 367 368 371 374 376
Butterfly      42
Calorically perfect      23 26 30
Cartesian tensor notation      5 228
Cauchy — Riemann equations      59
Causality principle      367
Cavitation      13 597
Cavity flow, buoyancy driven      563
Cavity flow, lid-driven      563
Celerity      309
Cell area      476 477
Cell aspect ratio      263 270 297 302
Cell edge vector      476
Cell face area      482
Cell face vector      482 483
Cell volume      480 483 484
Cell-centered      94 95 100—103 114 116 120 124 138 232 237 241 511 523
Centigrade scale      22
Central discretization      114 128 146
Centrifugal acceleration      48 49
CFL number      191 210 222 313 342 378 379 384 393 395 446
CG method      278 282 284
CG method, preconditioned      282 283
CG method, rate of convergence      281
Chaos      18
Chaotic dynamical system      37
Characteristic equation      185
Characteristic function      86
Characteristic surface      56 307 507
Characteristics      71 75—78 306 307 309 310 325 339 350 363 376 400—403 406
Checkerboard mode      235 537
Chezy coefficient      51 305 324
Chimney problem      247
Cholesky decomposition incomplete      284
Christoffel symbol      497 543 548 557
Circulation      11 28 64 522
Circulation theorem      28
Classification of partial differential equations      54 58
Classification of shallow-water equations      306 324
Clebsch, potential      7
Clebsch, representation      7
Closed system      23 24
Closure problem      41
Coarse grid correction      287
Colocated      232 240 242 243 261 262 302 467 484 533 535 537 538 557 585 597
Compatibility condition      63 231 252
Compatibility relations      238 509
Compressible      30
Computing cost      263 269
Computing cost of basic iterative method      269
Computing cost of fast Poisson solver      293
Computing cost of GCR method      275
Computing cost of Krylov method      285
Computing cost of multigrid      288 289
Computing cost, CG method      282
Computing cost, uniform      122 127 146
Concave      371
Conformal mapping      64 470
Conjugate gradient method      278
Conjugate gradient method, optimality property      279
Conservation form      113
Conservation law      2 11 22 339
Conservation law, scalar      361
Conservation of energy      19
Conservation of mass      12
Conservation of momentum      13 14
Conservative      114
Conservative force      27—30
Conservative scheme      373 374 376 377 414
Consistency      167 168
Consistent      101 102
Constitutive relation      15
Contact discontinuity      406 407 409 423 455 525 585 592 596 601
Continuity equation      12
Continuity equation, depth averaged      48
Continuity equation, depth-averaged      49
Continuum Hypothesis      2 3
Contraction      495
Contractive scheme      356 360
Contravariant, base vector      476 477 491 492 539 540
Contravariant, components      491
Contravariant, order      488
Contravariant, tensor      487
Contravariant, transformation law      487 491
Contravariant, vector      487 490
Convection equation      70 340
Convection-diffusion equation      4 33 34 53 99 111 133 174 228 234 235 269 532 535 565
Convection-diffusion equation, nonstationary      163
Convergence      165 167 168
Convergence analysis      236 252
Convergent      101
Convex      371
Coordinate invariant      543 548
Coordinate system, boundary-fitted      53
Coordinate system, inertial      47
Coordinate system, moving      47
Coordinate system, non-orthogonal      53
Coordinate system, rotating      47
Coordinate transformation      53 485
Coordinate-invariant      557
Coordinates, admissible transformation      486
Coordinates, boundary-fitted      470
Coordinates, Cartesian      5 7 491
Coordinates, curvilinear      7
Coordinates, general      484 491
Coordinates, orthogonal      470
Coordinates, right-handed      5 476
Coriolis, acceleration      47 49 51 52 317 324 334
Coriolis, parameter      324 327
Courant — Isaacson — Rees scheme      349 360 375 427 436
Covariant, base vector      476 491 492 539
Covariant, derivative      498 499
Covariant, order      488
Covariant, transformation law      492
Covariant, vector      487 490
Crank — Nicolson scheme      204 249 252 255 258
Credibility      559
Curl      6 8 500
Cyclic order      493
Cyclic reduction      263 292
Darcy equations      3
Defect correction      129 132 224 225 268
Depth-averaged, continuity equation      48 49
Depth-averaged, momentum equations      49 51
Depth-averaged, velocity components      48
Descartes      1
Determinant      8
Determinism      18
Diagonal dominance, weak      267
Difference, backward      89
Difference, finite      89
Difference, forward      89
Differential-algebraic system      239 244 251
Diffusion      57
Diffusion coefficient      34
Diffusion equation      55 61 65
Diffusion equation, rotated anisotropic      269 297 303
Diffusion number      210
Diffusion, numerical      562
Dimensionless      111
Dimensionless, Boussinesq equations      46
Dimensionless, energy equation      47
Dimensionless, equations      16 570 578
Dimensionless, Navier — Stokes equations      17 228
Dimensionless, variables      16
Direct numerical simulation of turbulence      38 189 223
Direct numerical simulation of turbulence, computing cost      38
Direct numerical simulation of turbulence, databases      39
Dirichlet      62 66 76 79 89 93 95 107 112 121 133 229
Discretization error, local      186
Discretization error, temporal      186
dispersion      213 319
Dispersion, analysis      320
Dispersion, numerical      321 329 336 356—358
Dispersion, relation      309 320—323 328 356
Dissipation      21 213 319
Dissipation, artificial      389—391
Dissipation, numerical      320—322 336 356—358
Dissipative scheme      171 351 355 360
Distinguished limit      74 75 78
Distribution matrix      295 299 302
Distribution matrix of SIMPLE type      299 302
Distributive formulation      296 302
Distributive, Gauss — Seidel method      298
Distributive, ILU method      299
Distributive, iteration      251 294 295
Divergence      500
Divergence theorem      5
Domain decomposition      472 503
Domain of dependence      311
Domain of influence      311
Doubly-ruled surface      474 479 483 539
Drag      32
Dual time stepping      576 577
Dummy index      486
Eddy viscosity      41 42
Efficiency      163 224 263 270 297—299 302 303
Efficiency of multigrid method      288
Elliptic      54 55 58 70 112 532
energy equation      20 21 24 27 32 33
Energy, internal      19 21 22
Energy, kinetic      19
Energy, total      20
Engquist — Osher scheme      375 377 378 384 425
Enthalpy      22 26 27 32
Enthalpy, stagnation      31
Enthalpy, total      27
entropy      22—24 33 400 401 405 407 411
Entropy, condition      366 367 370 371 374 376 377 380 385 405 406 423 425 427 432 450 455 456 466 585
Entropy, condition, Oleinik’s formulation      367
Entropy, solution      367 368 376 377
Equation of state      22 398 504 580
Equation of state, dimensionless      581
Equation of state, nonconvex      601
ERCOFTAC      4 560
Error, discretization      563 564
Error, estimate      69
Error, global      69
Error, iterative convergence      563
Error, modeling      559
Error, numerical      559
Error, rounding      563
Euler, equations      32 397 503 567 568
Euler, equations, asymptotic expansion      579
Euler, equations, boundary conditions      402
Euler, equations, dimensionless      570 578
Euler, equations, nonconservative      399 504 570 578
Euler, explicit scheme      185 204 313 576
Euler, implicit scheme      204 313 318 320 576
Eulerian formulation      3
Existence      62 83 231
Expansion fan      370 380 385 407—410 423
Expansion shock      380 385 423 425
1 2 3 4
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