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| Ïîèñê ïî óêàçàòåëÿì |
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| Anderson J.D.Jr. — Computational Fluid Dynamics : The Basics With Applications |
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| Ïðåäìåòíûé óêàçàòåëü |
Adaptive grid see “Grids”
ADI see “Alternating-direction-implicit technique”
Adiabatic wall condition 81 468
Adiabatic wall temperature 81
Aeroelasticity 526
Aircraft flowfields, generic fighter 279
Aircraft flowfields, hypersonic body 274 278
Aircraft flowfields, Northrop F-20 10—13 209
Aircraft flowfields, space transportation system 519 520
Aircraft flowfields, X-24C 517 518
Alternating-direction-implicit (ADI) technique 243—247 494—495
Amplification factor 160 165
Analytical domain 163 164
Approximate factorization 247 492—496
Approximate Riemann solver 499 507 528
Artificial viscosity 236 238—243
Artificial viscosity for MacCormack’s technique 238 363—364 366—370
Automobile flowfields 14—17
Backward difference see “Finite differences”
Base flow 191 (aee also “Rearward-facing step”)
Beam — Warming method see “Implicit methods”
Block tridiagonal matrices 496—497
Blunt body, supersonic 29 30 119 120
Body forces 61
Boundary conditions for conservation form 343
Boundary conditions for pressure correction method 262 263 437
Boundary conditions for subsonic inflow 303—306
Boundary conditions for subsonic outflow 327—328
Boundary conditions for supersonic outflow 305—307
Boundary conditions, Abbett’s condition (inviscid flow over walls) 392—395
Boundary conditions, no-slip 80 457
Boundary conditions, physical 90—92 392
Boundary conditions, reflection 138
Boundary layer flows 113 114 450 472
Boundary-fitted grid see “Grids”
Caloric equation of state 79
Cartesian grid see “Grids”
Cell Reynolds number 456—457
Central difference see “Finite differences”
CFD see “Computational fluid dynamics”
CFD-generated schlieren 270 271
CFL condition see “Courant — Friedrichs — Levy condition”
Characteristic lines 97 99 162 488
Civil engineering applications 19 20 22
Compatibility equation 101
Composite plots 274 278
Computational costs 27
Computational fluid dynamics as design tool 9—13
Computational fluid dynamics as research tool 6—9
Computational fluid dynamics, definition of 23 25 26
Computational fluid dynamics, new approach in 2—3
Computational plane, definition of 170 171
Computer graphic techniques 264—279 516—517
Computer programming see “Programming procedures”
Conservation form for quasi-one-dimensional nozzle flow 336—356
Conservation form of continuity equations 51 55
Conservation form of energy equation 74
Conservation form of momentum equation 65 66
Conservation form, general discussion of 42 90 225 480—482
Conservation form, generic form of 83 481
Conservation form, strong form of 88 183 185 377 452
Conservation form, transformed form of 185
Conservation form, weak form of 88
Consistent equation see “Finite differences”
Continuity equation 49—60
Continuity equation, differential form 55 56
Continuity equation, integral form 51 53
Continuity equation, one-dimensional flow 482
Continuity equation, quasi-one-dimensional flow 286 291
Contour plots, density 272 520 525
Contour plots, flooded 266 268
Contour plots, general discussion of 265—270 516
Contour plots, gray-scale color 266
Contour plots, Mach number 523 524 527
Contour plots, pressure 11 241 272 279 521 524
Contour plots, velocity 267 268
Contour plots, vorticity 15 530—533
Control surface 41
Control volume 41
Convective derivative 45
Couette flow 416—445
Courant number 162 324—325
Courant — Friedrichs — Levy (CFL) condition 162 302 395 457
Cramer’s Rule 98 178 230
Crank — Nicolson method see “Implicit methods”
Cray computers 28 533
Delta form 496
Detonation wave 266—268
Diagonalization 500
Difference equation see “Finite differences”
Direct metrics see “Metrics”
Direct numerical simulation 530—533
Dirichlet condition 118
Discretization 125 165
dispersion 237 (see also “Numerical dissipation”)
Dissipation see “Numerical dissipation”
Divergence form 79
Divergence of velocity 47 48
Domain of dependence 106 107
Eigenvalues 102 482 487—489
Eigenvector 500
Elliptic nature of pressure correction formula 160
Elliptic nature, definition of 100 103
Elliptic nature, equations 30 104 105
Elliptic nature, general discussion of 117—119
Elliptic nature, regions in flow 29 277
energy equation 66—74
Energy equation, differential form 70 71
Energy equation, one-dimensional flow 482
Energy equation, quasi-one-dimensional flow 286 295 296
Engine calculations 14 16 17
Engineering Research Center for Computational, Field Simulation 276
Environmental engineering applications 20—23 25 26
Errors, boundary condition 321—322
Errors, discretization 154 155
Errors, general discussion of 153—165
Errors, high-frequency 513
Errors, low-frequency 513
Errors, round-off 155
Euler equations 77—79 154
Euler explicit form 162
Explicit methods, general discussion of 145—153 (see also “Lax — Wendroff technique; MacCormack’s technique”)
Finite differences, based on Taylor’s series 128
Finite differences, consistent difference equation 144
Finite differences, difference equations 142—145
Finite differences, first-order forward 130
Finite differences, first-order rearward 131
Finite differences, fourth-order central 135
Finite differences, general concept 123 127
Finite differences, modules 134—136 147 149 494
Finite differences, one-sided 139
Finite differences, second-order central 132
Finite differences, second-order second central 132—134
Finite differences, upwind 499
Finite volumes, discretized equations 167
Finite volumes, general concept 123
Flat plate flow 447—476
Flowcharts 459—466 (see also “Programming procedures”)
Fluid element model 41 42
Flux limiters 509 510 512
Flux terms 84 185 339 341 380
Flux variables 85
Flux-corrected transport (FCT) method 266
Flux-vector splitting 500—502 510 511
Forward difference see “Finite differences”
Furnace applications 21
Gauss — Seidel method 231
Godunov schemes 499 502—508
Governing flow equations for quasi-one-dimensional flow 296
Governing flow equations, generic form 83
| Governing flow equations, introduction to 38—40
Governing flow equations, summary of 75—80
Governing flow equations, transformed generic flow 185
Grid independence 322—324 355
Grid points 126 137 299 423
Grids, adaptive 200—208
Grids, boundary-fitted 15 18 170 192—200 269
Grids, C-type 194
Grids, compressed 15 186—192
Grids, elliptically generated 194—200
Grids, finite volume 20
Grids, generation of 124 168 171
Grids, O-type 194
Grids, rectangular (cartesian) 16 169 212—214 240
Grids, staggered 250—253 436
Grids, structured 126 210
Grids, unstructured 126 210—212 523
Heat conduction equation 116 121 142 145
High-resolution schemes 508—510
Hyperbolic nature, definition of 100 103
Hyperbolic nature, equations 30 104 105
Hyperbolic nature, from eigenvalues 488
Hyperbolic nature, general discussion of 106—111 416
Hyperbolic nature, regions in flow 29 277
Implicit methods, Beam — Warming method 490—492 497
Implicit methods, Crank — Nicolson method 148—151 244 420—425 489 491
Implicit methods, general discussion of 145—153 489
Implicit methods, lagging coefficients method 490
Implicit methods, linearization 490—492
Initial conditions 307—308 344 362 420
Initial data lines 108 226 227 379 386 387
Inverse metrics 183
Inverse transformation see “Transformations”
Jacobi method 231
Jacobian for one-dimensional flow 486
Jacobian of the flux vector 481 493
Jacobian, determinant of the transformation 179 180 206
Laminar flow 7—9
Laplace’s equation 121 176
Lax — Wendroff technique 217—221
Local time stepping 302—303
MacCormack’s technique 222—229 238 288 330 336 375 387 448 449 453—455 460 461 463—465 474 497 517
Mach angle 376
Mach disk 528
Mach number profiles, flat plate flow 474 476
Mach wave 376
Manufacturing applications 17—19
Marching solutions, general 146 153
Marching solutions, space marching 225—232 375
Marching solutions, time marching 30 85 119 146 221
Marching variables 143
Mass source term in pressure correction method 260 443 444
Mathematical behavior of equations 95—121 277
mesh see “Grids”
Mesh plots 273 275—277
Method of characteristics 102
Metrics 173 178—183 206 207
Miley airfoil 198 199
Models of the flow 40—42
Modified equation 235
Momentum equation, differential form 64
Momentum equation, general discussion of 60—66
Momentum equation, one-dimensional flow 482
Momentum equation, quasi-one-dimensional flow 286 294
Monotone variation 499
Multigrid method 513—514 521
Naval architecture applications 22 23 26
Navier — Stokes equations 64 66 75—77 79 154 225 236 239 249 250 266 417 450 451 490
Neumann condition 118
Nonconservation form of continuity equation 53 56
Nonconservation form of energy equation 70 72
Nonconservation form of momentum equation 64
Nonconservation form, general discussion of 42
Normal shock wave 91 357 359
Nozzle flow see “Quasi-one-dimensional nozzle flows”
Numerical dispersion 237
Numerical dissipation 232—243
Numerical domain 163 164
One-dimensional flow 482—489
Parabolic equations for Couette flow 417 421
Parabolic equations, boundary-layer equations 113
Parabolic equations, definition of 100
Parabolic equations, general discussion of 111—117
Parabolic equations, heat conduction equation 116
Parabolic equations, parabolized Navier — Stokes equations 115
Parabolic equations, regions in flow 277
Parabolized Navier — Stokes equations see “Parabolic equations”
Parallel processors see “Processors”
Particle paths 15
Physical plane, definition of 170 171
Point-iterative method 229
Poisson equation 260
Prandtl — Meyer expansion wave 374—415
Prandtl — Meyer function 377
Pressure contours see “Contour plots”
Pressure correction formula 260 441
Pressure correction technique 247—264 435—445
Pressure profiles 469 475
Primitive variables 85 340 380 490
Processors, parallel 28 153
Processors, vector 28
Programming procedures 459—467
Quasi-one-dimensional nozzle flows with shock wave 356—372
Quasi-one-dimensional nozzle flows, general discussion of 283—372
Quasi-one-dimensional nozzle flows, subsonic isentropic flow 325—336
Quasi-one-dimensional nozzle flows, subsonic-supersonic isentropic flow 285—325 336—356
Rearward-facing step 240—243 (see also “Base flow”)
Rectangular grid see “Grids”
Region of influence 106 107 110
Relaxation technique 229—232
Residual 316 317
Riemann problem 504
Runge — Kutta scheme 521
Scatter plots 273 275
Schlieren see “CFD-generated schlieren”
Shock interaction 268—270
Shock layer 449
Shock tube problem 502—504 511 512
Shock-capturing method 89—92 356—372
Shock-fitting method 89
SIMPLE algorithms 248 261—262
Solutions vector 84 87 340
Source term 84
Space marching see “Marching solutions”
Stability criterion 151
Stability of solutions 153—165
Staggered grid see “Grids”
Step size, spatial 395—397
Step size, time 301—303 455—457
Streamlines 21 271—274
Structured grid see “Grids”
Submarine flow field 27
Substantial derivative 43—46
Successive overrelaxation 231
Supersonic nozzle flow, two-dimensional 527
Taylor’s series 128
TECPLOT 264
Temperature profiles 471 472
Thermal diffusivity 116
Thermal equation of state 79
Thomas’ algorithm 150 243 245 246 424 426—429 534—538
Time marching see “Marching solutions”
Time step calculation 301—303 455—457
Total-variation-diminishing schemes 499 509—510 512
Transformations of first derivatives 173
Transformations of second derivative 175 176
Transformations, general discussion of 124 171—178
Transformations, inverse 178
Trapezoidal rule 491 493
Tridiagonal matrix 150 424 496
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