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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
Nassersharif, B.      419 432
Natural convection      402
Navier — Stokes equation      7 47 55 430 434—455
Navier — Stokes equation, discrete      443
Navier — Stokes equation, finite difference method      442
Navier — Stokes equation, Galerkin method      438 447
Navier — Stokes equation, Taylor — Galerk in method      452
Neuman, S. P.      241 255 292 316
Newton — Raphson method      297 429 431 438
Newton’s law of motion      435
Nodes, add and subtract      215 252 342
Nodes, arrangement      285
Nodes, global      22
Nodes, global, numbering      17 191
Nodes, last      140 141 148 173
Nodes, local      22
Nodes, local, numbering      17 191
Nodes, moving      6 222 288 290 384 421
Nodes, moving, analytical      206
Nodes, moving, Buckley — Leverett problem      517
Nodes, moving, comparison      238 251 412
Nodes, moving, equidislribution      217
Nodes, moving, equidislribution, advection equation      222
Nodes, moving, equidislribution, convective diffusion equation      221 223
Nodes, moving, finite element method      405 419
Nodes, moving, freezing in comer      423
Nodes, moving, freezing pipe      422
Nodes, moving, Galerkin method      216
Nodes, moving, orthogonal collocation on finite elements      342
Nodes, moving, stability      218
Nodes, moving, Stefan problem      416
Nodes, moving, two dimensions      288 292
Nodes, moving, weighted residual      223
Nodes, moving, weighted residual, Burger’s equation      228 235 238 moving”)
Nodes, numbering      146
Nodes, numbering, phase change problems      405
Nodes, numbering, staggered grid      535
Nodes, numbering, two dimensions      259
Nodes, two dimensional      419 (see also “Adaptive mesh”)
Non-dimensionalization      44
Nonlinear term, interpolation      104 105 108 121
Norm      11 61 165 166 199 455
Normal stress coefficient      458
Normal, “weighted”      421
Norman, M. L.      516 541
Novy.R.A.      516 517 541
Nusselt number      391
Oden, J. T.      102 125 167 171 186 268 287 315 316 344 346 348 353 455 456
Okuyiga, M. O.      514 516 517 541
Oliger, J.      283 315
One-phase problem, analytical approximation      408 409
Operator splitting      240 259 537
Operator splitting, comparison      380
Operator splitting, method of characteristics      449
Operator splitting, Navier — Stokes equations      454
Oran, E. S.      5.9 278 316
Ordinary differential equation, solution method      30
Orlhogonal collocation method      396 397 399 516
Orlhogonal collocation method on finite elements      181 342 394
Orlhogonal collocation method on finite elements, comparison      182 183
Orlhogonal collocation method on finite elements, convective diffusion equation      182 184
Orlhogonal collocation method on finite elements, moving finite elements      342
Orlhogonal collocation method on finite elements, moving mesh      182 368
Orlhogonal collocation method, Buckley — Leverett problem      514 515
Orlhogonal collocation method, transformed domain      413
Orszag, S. A.      8 9 347—350 354
Oscillation limit      15 36 151 181
Osher, S.      151 152 158 186 188 508 540
Overrelaxation method      260 441
O’Neill, K.      407—409 411 412 414—416 432
Packed bed      43 45 355
Padmanabhan, L.      538 540
Park, N.S.      234 255
Park, Y. J.      364 401
Parrott, A. K.      63 92 171 187 278—280 316 538 539 541
Peaceman, D. W.      239 241 254 259 260 317 496 541
Pearson, C. E.      193 255
Peclet number      4 5 10 12 35 36 56 373
Peclet number, effective      502
Pedersen, D. R.      413 431
Pelce, P.      402 432
Penalty method      436 439
Pepper, D. W.      454 456
Peraire, J.      139 145 150 187 278 280 287 316 317 451 454 455 456
Pereyra, V.      193 255
Permeability, Gaussian quadrature      526
Permeability, interpolation      526
Permeability, relative      504 518 519
Permeability, trapezoid rule      526
Permeability, upstream      526
Petrov — Galerkin method      3 28 29 34 40 41 42 45 49 50 51 53 54 93 98 100 102 103 111 113 122 159 223 228 344
Petrov — Galerkin method, advection equation      34 98 100
Petrov — Galerkin method, amplification factor      95 96 124
Petrov — Galerkin method, Burger’s equation      50 51 53 54 103—105 112 121
Petrov — Galerkin method, comparison      50 53 54 99 104 106 110 116 125 183 238 314 469
Petrov — Galerkin method, comparison with least squares method      233
Petrov — Galerkin method, convective diffusion equation      29 40 41 42 111 113 118 162 164 582 583
Petrov — Galerkin method, discontinuous weighting functions      346
Petrov — Galerkin method, dispersion      96
Petrov — Galerkin method, dispersion, diagram      557 558 563 564
Petrov — Galerkin method, dissipation      96
Petrov — Galerkin method, implicit      111 117 118 184 251
Petrov — Galerkin method, implicit, comparison      127 249 251
Petrov — Galerkin method, initial value problem      467 468 470
Petrov — Galerkin method, last element      124
Petrov — Galerkin method, lumped      104
Petrov — Galerkin method, lumped flux-correction      145
Petrov — Galerkin method, lumped, comparison      128 162
Petrov — Galerkin method, polymer centerline problem      473 474
Petrov — Galerkin method, quadrature weighting      162
Petrov — Galerkin method, rational basis      164
Petrov — Galerkin method, reaction      364
Petrov — Galerkin method, reduced quadrature, comparison      162
Petrov — Galerkin method, stability limit      97 112 116 117
Petrov — Galerkin method, streamwise upstream      270 364
Petrov — Galerkin method, streamwise upwinding      163
Petrov — Galerkin method, truncation error      94
Petrov — Galerkin method, two dimensions      264 265
Petrov — Galerkin method, weighting function      103 169 171
Petrov — Galerkin method, weighting function, augmented      163
Peyret, R.      262 317 441 456
Phase change      60 67 402—431
Phase change, nodal numbering      405
Phase speed      311 312
Pirkle, J. C, Jr.      342 343 353
plasma      320
Plastic      457
Pletcher, R. H.      51 54 69 80 92 264 314
Plohr, B.      288 315 316
Plover, T.      194 204 253
Poisson equation      441 443
Poisson ratio      421
Polymer      457—495
Polymer centerline problem      471
Polymer centerline problem, backward Euler method      464
Polymer centerline problem, Euler method      463
Polymer centerline problem, finite difference method      464
Polymer flood      538 539
Polymer flood, random choice method      539
POLYMER program      493 494 581
Polymer, melt      476
Polymer, solution      476
Pope, G. A.      508 541
Pore volume      533
Porosity      496
Porousmedia      43 44 318 496—540 585
Porteous, K. C      475 495
Positivity rule      258 314
Poulain, C      134 187
Pozzi, A.L.      239 241 254
Prandtl number      430
Predictor-corrector method      30
Predictor-corrector method, stability limits      369
Prenter, P. M.      197 256
Pressure equation, elliptic      499
Pressure gradient      443
Pressure, average      499
Pressure, capillary      499 517 531
Price, H. S.      36 46 87 92 172 187 215 256
Primitive method      440
Primitive variable      436
Problem, Buckley — Leverett      8
Problem, Buckley — Leverett, contraction      41 462
Problem, Buckley — Leverett, moving boundary      402
Problem, Buckley — Leverett, moving cone      348
Problem, Buckley — Leverett, one-phase melting      403
Problem, Buckley — Leverett, routing cone      7 318
Problem, Buckley — Leverett, three dimensions      6
Problem, Buckley — Leverett, two dimensions      6—8
Problem, Buckley — Leverett, two-phase melting      403
Proskurowski, W.      129 186
Pseudo-steady-state method      441
Puszynski, J.      368 385 399 400
Quadrature      50 104 121
Quadrature, Gaussian      23 24 43 50 106 125 295 345 361 525
Quadrature, Lobatto      529
Quadrature, number of points for penalty method      440
Quadrature, one-point      345
Quadrature, trapezoid rule      104 106 124 125 338 525
Quadrature, upstream weighting      344
Quartapelle, L.      97 125 322 353 449 455
Quarteroni, A.      8 9
QUICK Method      174 252
QUICK Method, advection equatin      175
QUICK Method, Burger’s equation      175—177
QUICK Method, comparison      176 181 183 185 249 251
QUICK Method, convective diffusion equation      175
QUICK Method, dispersion diagram      568
QUICK Method, stability      175 176
QUICK Method, truncation error      183
Rakowski, L.      396 400
Ramachandrau, P. A.      396 400
Ramanathan, S.      294 317
Ramaswamy, B.      450 454 456
Ramos, J. I.      376 379—381 400
Ramshaw, J. D.      263 315
Random choice method      6 129—137 184 185 288 537 538
Random choice method, advection equation      135
Random choice method, Burger’s equation      136 236 583
Random choice method, comparison      181 183 234 248—251 332
Random choice method, convective diffusion equation      135 582
Random choice method, immiscible displacement      534
Random choice method, linear adsorption      321 328 331 584
Random choice method, nonlinear adsorption      336 337 341 584
Random choice method, polymer flood      539
Random choice method, stability      137
Random choice method, viscous fingering      539
Rarefaction wave      134
Rate of strain      460
Ray, W.H.      514 516 517 541
REACT program      399 581 584
REACT program, Galerkin method      361 584
REACT program, MacCormack method      360 364 366 367 372 373 375 584
REACT program, MacCormack method wilh flux-correction      366 367 584
REACT program, Reaction      355—375 392
REACT program, solid-gas      396
REACT program, streamwise Petrov — Galerkin method      364
REACT program, Taylor — Galerkin method      361—368 374 584
REACT program, Taylor-finite difference method      360 361 368 374
REACT program, upstream finite difference method      360 364 366 584
Refinement, h-      287
Refinement, p-      287
Reitz, R. D.      379 400
Residual      19 43 159 194 195 196 252
Residual, momentum      437
Residual, orthogonal      252 404
Residual, weighted      49 210 211 229 231 246 291 465
Residual, weighted boundary      301
Reyna, L.      538 541
Reynolds number      430 437 461 475
Rhee, H. K.      318—320 332 334 336 354 357 400 506 541
Rheology      457
Richtmyer, R. D.      61 64 74 82 92 480 495
Riemann problem      130 288 290 336 538
Riemann problem, advection equation      131 133
Riemann problem, Burger’s equation      134
Riemann problem, initial conditions      131
RKF45      393
Roache, P. J.      68 69 72 74 75 92
Roe.P.L.      134 188 288 317
Rosenberg, D. U. von      178 188
Rosenberg’s method      178 183 252
Rosenberg’s method, comparison      185 248
Rosenberg’s method, convective diffusion equation      180
Rotating cone problem, adaptive mesh      352
Rotating cone problem, ENO method      351
Rotating cone problem, finite difference method      349
Rotating cone problem, finite difference method, flux-corrected method      352
Rotating cone problem, MacCormack method      350
Rotating cone problem, Taylor-FD method wilh flux-correction      351
Rotating cone problem, Taylor-finite difference method      351
Rotating cone problem, upstream finite difference method      350
Roth, P.      383 400
Rubinsky, B.      426—428 433
Runge — Kutta method      30 153 220 524
Runge — Kutta method, polymer centeriine problem      471
Rusanov method      69
Russell, R. D.      194 254 256
Russell, T. R      240 243 254 256
Ruthven, D. M.      335 353
Saad, N.      508 541
Sackinger, P. A.      428 432
Saito, H.      298 317
Sand-water, freezing      407
Sanders, B. R.      220 254 383 399
Sani, R. L.      347 353 436 443 455 456
Saturation      496
Saturation equation, hyperbolic      499
Saturation equation, parabolic      499
Saturation, connate water      504
Saturation, residual oil      504
Saturation, water      517
Schiesser, W. E.      219 222 255 342 343 353
Schoombie, S. W.      228 238 255
Scriven, L. E.      3 9 298 316 317 516 540
Segal, A.      436 455
Seki, N.      413 431
Sepehmoorl, K.      508 541
Sewell, E. G.      193 255
Sharp, D. H.      288 289 316
shear modulus      460
Shear rate      458
Sheintuch, M.      212 256 381 400
Sherwood number      391
Shih.T. M.      440 456
Shimizu, M.      450 456
Shimizu, R      397 401
Shock      4 8 47 70 89 126 134 244 506
Shock, condition      334 507
Shock, velocity      70 507 514
Shu.C. W.      151 155 158 188
Singer, A. P.      454 456
Smith, R. M.      346 354
Smooke, M. D.      219 256 282 317 377—379 381—384 386 400 401
Sod, G. A.      69 82 92 129 134 137 138 188 336 354
Sohn, J. L.      102 125 364 399
Solid, elastic displacement      228
Solid, Hookean      460
Solid, melting      402
Solidification, enthalpy method      418 419
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