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| Finlayson B.A. — Numerical Methods for Problems With Moving Fronts |
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| Предметный указатель |
Spalding, D. B. 379 401
Spectral method 8 350
Spine representation 292—298 429 431
Spline, cubic 326 587
Stability 55 64 78 93 480
Stability, limits 45 61 87 258 369 372 482 494
Stability, moving nodes 218
Stability, reaction problems 371
Stability, unsteady Couette flow 489
Steady-state solutions, multiple 394
Stefan number 403
Stefan problem, moving finite element method 416
Stefan problem, two-phase 415 416
Steffler, P. M. 177 188
Stevens, W. N. R. 440 456
Stewart, J. R. 451 456
Stewart. W.E. 181 188
Stirred-tank model 45
Stokes flow 434
Stream function 347 436
Stream function-vorticily method 440 441 450
Streamlines 448
Stress, first normal 459 470
Stress, shear 458
Strongly implicit method 260
Strouboulis, T. 102 125 455 456
Strouhal number 448
Stuart, A. 372 401
Sun, L.M. 321 354
Surface tension 429
Surface to volume ratio 356
Sweby, P. K. 151 188
Tamaddon-Jahromi, H. R. 454 455
Tan, C.H. 440 456
Tannehill, J. C 51 54 69 80 92 264 314
Taylor series 12 56 73 90 91 94 97 102 172 174 322 540
Taylor — Galerkin method 6 73 97—102 114 123 124 184 185
Taylor — Galerkin method, advection equation 98 100 101
Taylor — Galerkin method, amplification factor 371
Taylor — Galerkin method, anisotropic diffusion 270
Taylor — Galerkin method, Buckley — Leverett problem 509 511 540 585
Taylor — Galerkin method, Burger’s equation 106—110 237 271 583
Taylor — Galerkin method, combustion 364
Taylor — Galerkin method, comparison 99 102 107 110 113 116 117 120 121 124 127 128 178 182 234 248 249 251 263 314 332 365 371 386 388 489
Taylor — Galerkin method, comparison with least squares method 233
Taylor — Galerkin method, convective diffusion equation 111 582 583
Taylor — Galerkin method, dispersion diagram 559 565—567 573 577
Taylor — Galerkin method, Fisher’s equation 389
Taylor — Galerkin method, flux-correction 146
Taylor — Galerkin method, implicit 111 118—119
Taylor — Galerkin method, implicit, comparison 120 127 249
Taylor — Galerkin method, implicit, stability 119
Taylor — Galerkin method, linear adsorption 323 328 331 584
Taylor — Galerkin method, lumping 150 340
Taylor — Galerkin method, Navier — Stokes equations 451 452
Taylor — Galerkin method, nonlinear adsorption 339 340 584
Taylor — Galerkin method, reaction 361 363—368 374 584
Taylor — Galerkin method, stability 99 112 116
Taylor — Galerkin method, truncation error 99
Taylor — Galerkin method, two dimensional 269—275
Taylor — Galerkin method, two-step formulation 454
Taylor — Galerkin method, unsteady Couette flow 487 490 585
Taylor, T. D. 262 317 441 456
Taylor-FD Method with Flux-correction, rotating cone problem 351
Taylor-finite difference method 75 125 183 368
Taylor-finite difference method, amplification factor 85 370
Taylor-finite difference method, Buckley — Leverett problem 509
Taylor-finite difference method, comparison 87 90 125 325 371 488
Taylor-finite difference method, convective diffusion equation 85 86 583
Taylor-finite difference method, dispersion diagram 551—555 571 575
Taylor-finite difference method, implicit 85 91
Taylor-finite difference method, linear adsorption 323
Taylor-finite difference method, reaction 360 361 368 374
Taylor-finite difference method, rotating cone problem 351
Taylor-finite difference method, truncation error 85
Taylor-finite difference method, unsteady Couette flow 486 488
Teletzke, G.R 3 9
Temperature, extinction 395
Temperature, ignition 395
Temperville, A. 215 256
Tensor, diffusivity 343
Tezduyar, T. E. 364 401
Thames, R C 294 317
Thareja, R.R. 451 456
thermal conductivity 416
thermal diffusion 377
Thiele modulus 5 392
Thomaidis, G. 241 243 244 246 256
Thomas algorithm 25 33
Thommen, H. U. 80 92 261 317
Thompson, J. R 294 317
time constant 5 6 356 373 403 460 461
Time derivative, converted 206
Total variation 151
Towler, B. T 534 540
Townsend, P. 454 455
| Transformation see “Coordinate system transformation”
Trapezoid rule, integration of ODEs 83 116 214 310
Trapezoid rule, integration of ODEs, dispersion 311 (see also “Quadrature trapezoid
Trefethen, L. N. 307 309—313 317
Trial function 160 210 223 224 229 245 264 265 272 290 361 525 536
Trial function, global 18 20
Trial function, linear 17
Trial function, local 18 20
Truncation error 12 13 30 31 55 56 64 73 75 93 172 174 178 194 203 231 242 314 325 502 540
Tryggvason, G. 288 316 538 539 540
Tsai, H.L. 428 433
TVD method 6 137 151—155
TVD method, advection equation 154
TVD method, Buckley — Leverett problem 511 512 585
TVD method, Burger’s equation 155 583
TVD method, comparison 155 158 183 249 250
TVD method, convective diffusion equation 154 582
TVD method, Runge — Kutta method, as 153
TVD method, two dimensions 275
TVI method See “TVD method”
Tzanos, C. P. 220 256 346 354 413 433
Unit CFL property 63 64 68 78 115 171
Unit CFL property, Galerkin method 111
Unsteady Couette flow 585
Unsteady Couette flow, Taylor-finite difference method 488 585
Upson, C 442 444 446—448 455
Upstream, derivative 15
Upstream, method 31 32
Upstream, streamwise 269
Upstream, weighting 3
Vahdati.M. 139 145 150 187 278 280 287 316 317 454 455 456
Valliappan, S. 286 315
Van der Corput sequence 133
van Steenhoven, A. A. 436 455
Varga, R. S. 36 46 87 92 172 187 215 256
Variance 588
Variational integral 165
Variational method 183
Variational method, steady-state convective diffusion equation 168
Variational method, weighting function 169
Variational Principle 164 438
Vichnevetsky, R. 313 317 477 495
Villadsen, J.V. 181 188
viscosity 458 459 460 504 527
Viscosity, artificial 275 455
Viscous term 443
Voller, V. R. 427 432
Von Neumann analysis 61 64 370 480
Vortex 347
Vortices 447
Vorticity 436
Votruba, J. 395 400
Wang, N.H.L. 342 354
Warming — Kutter — Lomax method 69
Warming, R.R 151 188
Warren, J. E. 36 46 87 92
Water, in dry soil 1
wave number 57 58 78
Wave speed 379 383 386
Wavelength 59
Weber, H. J. 383 400
Webster, M. R 454 455
Weighting function 28 29 49 159 229 231 264 272 404 406 427
Weighting function, discontinuous 345
Weighting function, optimal 29 502
Weighting function, Petrov — Galerkin 28
Weinberger, H. R. 475 476 495
Weissenberg number 461 471 475
Welding 3 402
Welge, H. J. 504 541
Well, production 534
Wendroff, B. 64 92
Westerberg, A. W. 231—235 255 412 432
Wheeler, M. R 240 241 243 244 246 254 256
White, A. B. 194 256
Wilkes, J. O. 155 186
Winkler, K. H. A. 516 541
Wormeck, J.J. 68 81 92
Yanenko, N. N. 380 401
Yang, G. 215 256
Yang, J. C 450 456
Yaniv, S. 288 315 316
Yanosik, J. L. 528 531 532 541
Yee, H.C 151 188
Yoo, J. 426 427 428 433
Yortsos, Y.C. 5l6 541
Yoshida, K. 397 401
Young, L. C 294 317 391 393—396 399 401 500—504 528—534 541
Yu, C.-C 164 188
Yu, Q. 342 354
Zalesak, S. T. 137 139 188 275 317 350 352 353
Zang, T. A. 8 9
Zhu, J.Z. 287 317
Zienkiewicz, O. C 29 46 102 125 274 287 316 317 416 418 424 431 451 456
Zuragat, Y. H. 174 188
Zygourakis, K. 241 243 244 246 256
“Anti-diffusion” 138 142 148 281
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