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