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Finlayson B.A. — Numerical Methods for Problems With Moving Fronts
Finlayson B.A. — Numerical Methods for Problems With Moving Fronts

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Название: Numerical Methods for Problems With Moving Fronts

Автор: Finlayson B.A.

Язык: en

Рубрика: Математика/Численные методы/Моделирование физических процессов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 605

Добавлена в каталог: 21.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Adaptive mesh      189—206 346 378—383 455 579
Adaptive mesh, comparison      206
Adaptive mesh, curvature criterion      194
Adaptive mesh, equidistribution      378 383 516
Adaptive mesh, estimated error criterion      197 199 200 204
Adaptive mesh, global error criterion      194
Adaptive mesh, gradient criterion      193 197 198 201
Adaptive mesh, large curvature      413
Adaptive mesh, rate of heat transfer      413
Adaptive mesh, residual criterion      194 197 198
Adaptive mesh, routing cone problem      352
Adaptive mesh, second derivative criterion      194 346
Adaptive mesh, steady-state problems      189
Adaptive mesh, strategy to add nodes      196
Adaptive mesh, truncation error criterion      194
Adaptive mesh, two-dimensional      384
Adaptive mesh, upstream finite difference method      197 203 205
Adaptive mesh, variational criterion      197 202 moving”)
Adsorption      7 343
ADSORPTION program      351 581 584
ADSORPTION program, comparison      342
ADSORPTION program, linear      318—332
ADSORPTION program, linear, Euler — Lagrange method      326 330 332
ADSORPTION program, linear, Galerkin finite element method      321 584
ADSORPTION program, linear, Lax — Wendroff method      324
ADSORPTION program, linear, MacCormack method      324 331
ADSORPTION program, linear, MacCormack method with flux-correction      324 329 332 584
ADSORPTION program, linear, random choice method      321 328 331 584
ADSORPTION program, linear, Taylor — Galerkin method      323 328 329 331
ADSORPTION program, linear, Taylor-finite difference method      323
ADSORPTION program, linear, upstream finite difference      321 327 330 584
ADSORPTION program, nonlinear      332—343 584
ADSORPTION program, nonlinear, finite difference, upstream      324 336 584
ADSORPTION program, nonlinear, MacCormack method      338 339
ADSORPTION program, nonlinear, MacCormack method with flux-correction      332 339 341 342 584
ADSORPTION program, nonlinear, random choice method      337 341 584
ADSORPTION program, nonlinear, Taylor — Galerkin method      340 584
ADSORPTION program, nonlinear, upstream finite difference method      336
ADSORPTION program, pressure swing      318
Advection equation      4 30—35 55—69 89 91 97—102 120 125 183 252 308 310 332 351 365
Advection equation, comparison      127
Advection equation, comparison, best methods      248
Advection equation, finite difference method      66
Advection equation, Galerkin finite element method      98
Advection equation, Lax — Wendroff method      32—33 65 67
Advection equation, Leapfrog method      65 68 69
Advection equation, Leapfrog method, Galerkin      98 100
Advection equation, MacCormack method      65 67
Advection equation, Morton — Parrotl — Galerkin method      98
Advection equation, Petrov — Galerkin method      34 98 100
Advection equation, Taylor — Galerkin method      98 100
Advection equation, upstream finite difference method      31—32 56 63 65
Akin, J. E.      268 314
Alexander, R.      291 314 425 431
Alternating direction method      259
Alumina      390 391
Amplification factor      58 64 83 90 370 542—578
Amundson, N. R.      318—320 332 334 336 354 357 400 506 541
Analytical approximation      431
Analytical approximation, comparison      412
Analytical approximation, one-phase problem      408 409
Anderson, D. A.      51 54 69 80 81 264 314
Ang, K. K.      286 315
Arakawa’s method      347
Aris, R.      318—320 332 334 336 354 357 400 506 541
Armstrong, R. C      460 484
Arora, P.R.      3 9 402 432
Atkinson, J. D.      168 187
Babuska, I.      194 218 253 287 315
Backward Euler method      83 116
Backward Euler method, comparison      464 468—469
Backward Euler method, initial value problem      464 468
Baker, A. J.      102 125
Barga, W.      177 185
Barillot, Ph.      427 431
Barrett, J. W.      165 167 171 185 186
Bassingthwaighte, J. B.      320 353
Becker, E.B      268 315
Belleudy, P.      215 256
Benner, R. E., Jr.      516 540
Berger, M. J.      283 315
Bhattacharya, A.      396 399
Bieterman, M.      218 253
Bioengineering      320
Bioseparations      3
Bird, R. B.      460 484
Blottner, F. G.      194 253
Body force      443
Bonnerot, R.      412 425 431
Book, D. L.      137 138 186 278 315 325 350 352 353
Boris, J. P.      5 9 137 138 186 278 316 350 352 353
Boundary condition      35
Boundary condition at infinity      302 403
Boundary condition, Dirichlet      264
Boundary condition, essential      301 438
Boundary condition, first kind      264
Boundary condition, natural      7 27 163 192 300—301 305
Boundary condition, natural, pointwise solution      306
Boundary condition, natural, weighted      302
Boundary condition, Neumann      264 445 449
Boundary condition, outflow      10 35 580
Boundary condition, Robin      264
Boundary condition, second kind      264
Boundary condition, stream function      440
Boundary condition, third kind      264
Boundary condition, vorticity, lack of      440
Boundary layer      11 305 434
Boundary, false      173
Boundary, outflow      269 302
Boundary, solid      269
Bowles, J. B.      313 317 477 495
Brooks, A.      29 46 163 187 269 316 344 346 353 439 450 456
Brown, R. A.      428 430 431 432
Buckley — Levereu problem      503—517
Buckley, S. E.      504 540
Burger’s Equation      3 4 47—54 69—76 88—89 91 102—110 120—124 336 583
Burger’s equation, comparison      49 54 128 250
Burger’s equation, DuFort — Frankel method      70
Burger’s equation, exact solutions      70 71
Burger’s equation, Galerkin finite element method      53 122 583
Burger’s equation, Galerkin finite element method, finite element interpolation      105
Burger’s equation, Galerkin finite element method, trapezoid quadrature      104
Burger’s equation, Galerkin finite element method, upstream      105
Burger’s equation, Lax — Wendroff method      48—49 52 70 72 88
Burger’s equation, Leapfrog method      73 88
Burger’s equation, MacCormack method      70 72 88
Burger’s equation, Petrov — Galerkin method      50—51 53—54 103 104 121 122
Burger’s equation, stability      70
Burger’s equation, Taylor — Galerkin method      106—110 121 123 124 583
Burger’s equation, two-dimensional Taylor — Galerkin method      271
Burger’s equation, upstream finite difference method      47—48 51—52 70 72 88
Calculus of variations      253 301
Calculus of variations, Fundamental Lemma      253
Campion-Renson, A.      440 455
Canuto, C      8 9
Capillarity      513 531
Capillarity Function, dry soil      519
Carey, G. F.      181 186 194 204 233 234 253 255 268 315
Carnahan, B.      155 186
Carslaw, H. S.      409 431
catalyst      390
Catalytic converter      1 390 391
Cavendish, J. C      172 187 215 256
Centroid, triangular element      267
Ceramic      390 391
Chan, S. T.      442 444 446—448 455
char      396
Characteristic direction      333 335 478 506
Characteristic velocity      478 479
Characteristic, dividing      357
Chawla, T. C      182 186 212 253 413 431
Chem.I. L.      288 315
Chemical flooding      2 3 539
Chemical reaction      6 7 355—398
Chen, K. N.      450 456
Chen. W. H.      151 152 186 508 540
Chieng, C. C      177 187 247 255
Chierici.G.      180 186
Chorin , A. J.      129 133 186 440 455
Christiansen, J.      194 254
Christie, I.      29 46
Christie, M. A.      278—280 316 538 539 541
Chromatography      3 7 318—343
Chung, T. J.      102 125 364 399
Cliffe, K.A.      436 456
Collella, P.      129 133 186
Collocation, adaptive mesh      396 (see also “Orthogonal collocation”)
COLSYS program      194
Combustion      1 7 376—390
Combustion, carbon monoxide      392
Combustion, hydrogen      377
Comini, G.      416 418 424 431
Comparison      126—129 248—251
Comparison, best methods      251 (see also “Individual methods”)
Complex number      59
Compressible-fluid method      450
Compressible-fluid method, artificial      440—441
Computation time      381 383
Computer, CRAY      449
Computer, parallel      8
Computer, vector      384
Concus, P.      129 186
Conjugate gradient method      260
Conservation of energy      435
Constitutive equation      461
Continuity equation      438 440 443
Continuum      435
CONVECT program      45 90 91 124 125 143 150 183 252 579
CONVECT program, advection equation      184
CONVECT program, convective diffusion equation      184 185
CONVECT program, first node      183
Convection      4 5 6
Convection, two-dimensional      343—352 428
Convective diffusion equation      4 7 8 35—43 66 76—87 110—120 125 160 191 211 252 501 504 579
Convective diffusion equation, centered finite difference, flux-correction      145
Convective diffusion equation, comparison      127 249
Convective diffusion equation, DuFort — Frankel      77 81
Convective diffusion equation, ENO method      159 582
Convective diffusion equation, Euler — Lagrange method      244 245
Convective diffusion equation, Eulerian coordinate system      239
Convective diffusion equation, exact solution      35
Convective diffusion equation, finite difference method      36—37 77 80 582
Convective diffusion equation, finite difference method, implicit      77 83 84
Convective diffusion equation, flux correction steps      143 582
Convective diffusion equation, Galerkin finite element method      39—40 112 582
Convective diffusion equation, Galerkin finite element method, implicit      111 117
Convective diffusion equation, Galerkin method with flux-correction      150
Convective diffusion equation, Lagrangian coordinate system      239
Convective diffusion equation, Laumbach’s method      179
Convective diffusion equation, Lax — Wendfroff method      77 81 582
Convective diffusion equation, MacCormack method      77 81 114 582
Convective diffusion equation, MacCormack method with flux-correction      139 582
Convective diffusion equation, MacCormack method, second flux-correction      144 582
Convective diffusion equation, Morton — Parrott method      115
Convective diffusion equation, moving coordinate system      215
Convective diffusion equation, moving elements      217 218
Convective diffusion equation, moving nodes      220
Convective diffusion equation, moving, equidistribution      221 223
Convective diffusion equation, orthogonal collocation on finite elements      182 184
Convective diffusion equation, Petrov — Galerkin method      40—42 111 113 162 164
Convective diffusion equation, Petrov — Galerkin method, implicit      111 118
Convective diffusion equation, QUICK method      175
Convective diffusion equation, random choice method      135 582
Convective diffusion equation, Rosenberg’s method      180
Convective diffusion equation, steady-state      13 164 189—206
Convective diffusion equation, steady-state, exact solutiion      10—11
Convective diffusion equation, steady-state, finite difference method      12—16
Convective diffusion equation, steady-state, Galerkin finite element method      16—30
Convective diffusion equation, steady-state, non-uniform mesh      190
Convective diffusion equation, steady-state, two dimensions      171
Convective diffusion equation, Taylor — Galerkin method      111 114
Convective diffusion equation, Taylor — Galerkin method, implicit      111 118 119
Convective diffusion equation, Taylor-finite difference method      85
Convective diffusion equation, Taylor-finite difference method, implicit      85 86
Convective diffusion equation, TVD method      154 582
Convective diffusion equation, two-dimensional      257
Convective diffusion equation, upstream finite difference method      37—38 77 80 582
Convective diffusion equation, upstream finite difference method, 3-point      173
Convective diffusion equation, upstream finite difference method, implicit      77
Convective diffusion equation, upstream finite difference method, stability      79
Convective diffusion equation, variable mesh      283
Coordinate system, Eulerian      320
Coordinate system, Lagrangian      320 376
Coordinate system, moving      212
Coordinate system, moving, convective diffusion equation      215
Coordinate system, transformation      264 293 294 298 385 396—397 407 409 427 513
Coordinates, body-fitted      293
Courant number      60 480
Courant number, polymer flow      480
Courant number, “magic”      111 125
Courant, R.      287 315
Coyle, J. M.      218 254
Crank — Nicolson method      see “Trapezoid rule”
Crank, J.      402 431
Crochet, M. J.      440 455
Crystal growth      3 402
Crystal growth, Czochralski      428
Curvature      429
Cuvelier, C      436. 455
Damkohler number      5 365 373 392
Darcy’s law      496 497 536
Daripa, P.      538 539 540
Davis, H.T.      3 9 516 540
Davis, S. F.      220 254
Deans, H. A.      364 401
Degreve, J.      385 399
Del Guidice, S.      416 418 424 431
Demkowicz. L.      167 171 186 287 315 344 346 348 353
Denn.M. M.      475 495
density      496
Derby, J. J.      428 432
Derivative, first      12 13 251
Derivative, first, 3-point      172
Derivative, first, 3-point upstream      172
Derivative, one-sided      413 487
Derivative, second      13 251
Derivative, second, linear trial function      194
Derivative, third-order      174
Derivative, upstream      15 37
Devloo, P.      102 125 455 456
di Franco, R. B.      534 540
Didwania, A. K.      342 343 353
Dietrich, D. E.      68 69. 92
Difference equation      13 14 33 369
Differential-algebraic equation      443
Diffusion      4 5 6 45 75 365
Diffusion coefficient      10 44 75
Diffusion coefficient, effective      392
Diffusion coefficient, non-isotropic      343
Diffusion, anisotropic      269
Diffusion, numerical      54 55 75 89 106
Dimitriou, P.      385 399
Discriminant      481
dispersion      35 37 55 57 61 63 66 83 180 307 309 310 311 500 533
Dispersion diagrams      542—578
Dispersion, artificial      532
Dispersion, coefficient      10 500
Dispersion, numerical      534
Dispersion, upstream      37
Dispersivity      527
1 2 3 4 5
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