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Ferziger J.H., Peric M. — Computational Methods for Fluid Dynamics |
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Предметный указатель |
Adams — Bashforth methods 139
Adams — Moulton methods 139
Additive decomposition 107
Algebraic multigrid methods 349
Aliasing 61
Back substitution 93—96
Backscatter 282
Block-structured grids 241
Boundary conditions at inlet 82 255
Boundary conditions at outlet 206 255 273
Boundary conditions at symmetry planes 82 205 258 274
Boundary conditions at wall 82 204 256 273
Boundary conditions, Dirichlet 40 53 204 259 318
Boundary conditions, DNS 272
Boundary conditions, dynamic 382 388
Boundary conditions, kinematic 381 388
Boundary conditions, Neumann 41 53 134 206 318
Boussinesq approximation 9 11 15 288 372
Buoyancy 372
C-type grid 27 223 242
Capillary convection 382
Cell-vertex scheme 72
Centrifugal force 224 253
Chimera grid 219 355
Clipping 282
Coherent structures 265 268
Combustion, non-premixed 401
Combustion, premixed 401
Communication, global 359 362 363 367
Communication, local 362 366
Computational molecule 55 65 78 79 102 228 234
Condition number 109
Conjugate heat transfer 371
Contravariant components 7 8
Control mass 3 375 380
Control volume equation 3
Convection, forced 372
Convection, natural 372
Convergence errors 208
Coriolis force 224 253
Courant number 144 146 328
Covariant components 7 8
Crank — Nicolson method 149 163 179
Damkohler number 402
Deferred correction 79 87 191 234 314 322
Diagonally dominant matrix 129 130 191
Differencing scheme, backward 41 43 48
Differencing scheme, central 41 43 44 48 50 65 68 77 84 85 105 143 190 259 270 314 322
Differencing scheme, forward 41 43 48
Differencing scheme, hybrid 67 81
Differencing scheme, upwind 45 65 68 76 84 85 88 146 191 314
Discretization errors 34 58 59 69 97 126 209 210 262 302 350 353
Dual-grid scheme 72
Dual-mesh approach 246
DuFort — Prankel method 147
Eddy turnover time 272
Eddy viscosity 279 282 295 296 301 304
Effective wavenumber 62 270
Efficiency, load balancing 365
Efficiency, numerical 365 366
Efficiency, parallel 365—367
Eigenvalues 98 99 109 112 125 144
Eigenvectors 98 112 125 145
Einstein convention 5
ENO-schemes 327
Enthalpy 10
Equation of state 310
Euler equations 13 309 319 349
Explicit Euler method 136 137 179 376
False diffusion 45 66 76 87
Fick’s law 9
Filter kernel 278
Flux-corrected transport 326
Forward elimination 93—95
Fourier series 60 61 270
Fourier’s law 9
Froude number 11 280
Full approximation scheme 115
Full multigrid method 115 345 350
Fully-implicit schemes 379
Gauss theorem 4 6 233 235 239 346
Gauss — Seidel method 100 107 112 115 116 129 357
Generic conservation equation 10 39 71 227 230
Grid refinement 334
Grid velocity 374—377
Grid, non-orthogonality 342
Grid, warp 343
Grid-independent solution 32
H-type grid 27 223
Hanging nodes 242
Implicit Euler method 136 137 185 375—377
Inflow conditions, DNS 272 273
Integral scale 267
Iteration errors 34 97—100 112 124 127 128 131 355
Iteration matrix 98 101 124 243 360
Iterations, inner 117 118 126 173 189 228 361 365
Iterations, outer 117 118 121 126 173 189 228 345 350 363 365 372 373 391
| Jacobi method 100 112 116
Jacobian 120
Kolmogoroff scale 268
Kronecker symbol 6
Lagrange multiplier 203
Laplace equation 14
Lax equivalence theorem 32
Leapfrog method 136 147
Leibniz rule 374
Level-set methods 387
Linear upwind scheme 81
Local grid refinement 88 223 384
Mach number 2 12 314
Marangoni number 382
Marker-and-cell method 383
Maxwell equations 370
Midpoint rule 74 78 136 141 189 231 238
Mixed model 281
Modeling errors 34
Newtonian fluid 5
Non-matching interface 223 242 245
Non-Newtonian fluid 369
Numerical grid, block-structured 27 58 353
Numerical grid, Chimera 28
Numerical grid, composite 28 58
Numerical grid, structured 26 40
Numerical grid, unstructured 29 58 107 111 353
Numerical methods for DNS 269
O-type grid 27 223 242
One-point closure 266
Order of accuracy 31 35 44 52 59 74 79 138 237 240 271 334 376
Packet methods 400
Pade schemes 45 80
Peclet number 64 67 68 86 145 148
Picard iteration 121 190
PISO algorithm 176 178 195
Positive definite matrix 108
Prandtl number 10 215 372
Pre-conditioning matrix 97 109 110
Projection methods 175
Prolongation 113—115 346
Rayleigh number 214 372
Reconstruction polynomial 327
Residual 97 104 110 112 113 126 128 132 345 351
Restriction 112 114 115 345
Reynolds, averaging 293
Reynolds, number 11 259 268
Reynolds, stresses 293 294 300 304 305
Reynolds, transport theorem 3
Richardson extrapolation 59 86 138 209 215 261 346 350 352
Richardson number 280
Scale similarity model 281 283
Schmidt number 10
Shape functions 36 37 45 74 75 229 232 245
Shear velocity 280 298
SIMPLE algorithm 176 177 195 201 206 213 247
SIMPLEC algorithm 176—178 195
SIMPLER algorithm 177 178
Simpson’s rule 74 79 80 141 210
Skew upwind schemes 81
Space conservation law 376 378 379 388
Spectral radius 99 112 124
Speed-up factor 364
Splitting methods 106
Steepest descents methods 108 109
Stirring 265
Stokes equations 14
Stratified flow 287
Streamfunction 181
Strouhal number 11 262
Subgrid scale, models 279
Subgrid scale, Reynolds stress 278 279 281
Successive over-relaxation (SOR) 100 112
Tau-error 353
Thomas algorithm (TDMA) 95
Total variation diminishing 327
Trapezoid Rule 74 105 137
Truncation error 31 43 48 51 58 59 69 76—78 334
Tteration errors 98
Turbulence models 266
Turbulence spectrum 270 271
Turbulent diffusion 265
Turbulent flux 293 294
Turbulent kinetic energy 294 295
Turbulent Prandtl number 295
TVD-schemes 327
Two-equation models 301
Two-point closure 267
Under-relaxation 117—119 149 177 202 213 251 297 349
Viscous wall units 280
Volume-of-fluid method 384
von Karman constant 298
von Neumann 32 144 150
Vorticity 181
Wall functions 283 298
Wall shear stress 280 298
Zero-equation models 295
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