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| Ïîèñê ïî óêàçàòåëÿì |
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| Tannehill J.C., Anderson D.A., Pletcher R.H. — Computational Fluid Mechanics and Heat Transfer |
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| Ïðåäìåòíûé óêàçàòåëü |
 model 313—317
Abbett's method 408—409
Ablation 584
Accuracy 102
Adaptive grids 710—712
ADE method for boundary-layer equations 465—466
ADE method for heat equation 142—143
ADE method, Barakat and Clark 142—143
ADE method, Larkin 143
ADE method, Saul'yev 142
ADI method 12
ADI method for Burgers' equation 232
ADI method for heat equation 139—141
ADI method for Laplace's equation 162—163
ADI method for Navier — Stokes equations 633—640 663
ADI method for PNS equations 563—574
Advanced direct methods 152—153
Advection upstream splitting method (AUSM) 383—384
Advection-diffusion equation 41 651
AFWAL PNS code 574
Aitken extrapolation 158
Algebraic grid generation methods 681—688
Algebraic turbulence model see "Zero-equation model"
Allen — Cheng method for Burgers' equation 226
Allen — Cheng method for Navier — Stokes equations 632—633
Alternating direction explicit method see "ADE method"
Alternating Direction Implicit method see "ADI method"
Amplification factor 86—88 93
Amplification factor, exact 108 127—128
Amplification matrix 92—93
Amplitude error 108 128
Aperiodic matrix 94—95 717
Apparent turbulent stress see "Reynolds stress"
Approximate factorization 140—141 374 380 570—571 638
Approximate Riemann problem 198—199 388—389
Arrhenius form 261
Artificial compressibility 418—419
Artificial compressibility approach 660—665
Artificial compressibility factor 662
Artificial density 661
Artificial viscosity 106
Artificial viscosity, explicit 106 121 191 416—418 630 639 see
Artificial viscosity, implicit 106 121 416—417 457 639—640
Averaging procedures for turbulent flow 273—275
Baldwin — Lomax model 305—306
Banded matrix 138
Barotropic 324
Beam — Warming method for Euler equations 373—375
Beam — Warming method for inviscid Burgers' equation 192—195
Beam — Warming method for Navier — Stokes equations 633—640
Beam — Warming method for PNS equations 563—574
Beam — Warming method for viscous Burgers' equation 229—230
Bernoulli equation 324—325
Biharmonic equation 11 41
Binary diffusion coefficient 260
Blasius similarity solution 466
Block bidiagonal systems 380 501
Block tridiagonal systems 375 380 453 487 505 572 638 717—725
Block-iterative methods 160—165
Body force 252
Body intrinsic coordinates 270—271
boundary conditions 16—17 34 402—413
Boundary conditions, Dirchlet 34
Boundary conditions, Euler equations 402—413
Boundary conditions, inflow 404—406
Boundary conditions, Neumann 34
Boundary conditions, outflow 406
Boundary conditions, periodic 94 109
Boundary conditions, Robin 34
Boundary conditions, shock 411—413
Boundary conditions, surface 406—410
Boundary conditions, unsteady boundary layers 531
Boundary layer 285—286
Boundary layer, thermal 287
Boundary layer, viscous 287
Boundary value problem 15
Boundary-layer equations 286—299
Boundary-layer equations in generalized coordinates 468—470
Boundary-layer equations, compressible 295—299
Boundary-layer equations, compressible, laminar 295
Boundary-layer equations, compressible, three-dimensional 297—299
Boundary-layer equations, compressible, turbulent 295—299
Boundary-layer equations, incompressible 286—295
Boundary-layer equations, incompressible, laminar 286—291
Boundary-layer equations, incompressible, turbulent 291—295
Boundary-layer solutions 473—476
Boussinesq approximation 299—300 320 443 624
Bowyer insertion algorithm 705—708
Box method see "Keller box method"
Brailovskaya method for Burgers' equation 225—226
Brailovskaya method for Navier — Stokes equations 632—633
Briley — McDonald method for Burgers' equation 229—230
Briley — McDonald method for Navier — Stokes equations 633
Bulk viscosity, coefficient of 253
Burgers' equation 40
Burgers' equation, generalized 218
Burgers' equation, inviscid 40 176—217
Burgers' equation, three-dimensional 232 563
Burgers' equation, two-dimensional 230
Burgers' equation, viscous 40 217—234
Burstein — Mirin method see "Rusanov method"
Calorically perfect gas 258
Canonical form see "Partial differential equations"
Catalytic walls 584 614
Cauchy problem 28
Cauchy — Kowalewsky theorem 28
Cauchy — Riemann equations 35
cebeci — Smith model 303—304
Cell Reynolds number see "Mesh Reynolds number"
Cell-centered method 72 343 385 732
Cell-vertex method 72
CFL stability condition 11 88—90 95—96 627 633
CFL3D code 642
Chain rule form of governing equations 340
Characteristic coordinates 26—29 33
Characteristic differential equations 26 29 32 38 354—356
Characteristic velocity of turbulence 300—301
Characteristics 22—24 27—29 89—90 128 354—364 411
Checkerboard scheme 160
Chemical equilibrium 261—262 584 614
Chemical nonequilibrium 261—262 584 614
Chemically frozen mixture 261
Chemically reacting flows 259—262 584
Chemistry model for air 260—261
Chien turbulence model 315—316
Classification, mathematical 24—26 36—39
Colocated grids 668 674—676
Coloring schemes 158—160
Combined methods 132—133
Compact differencing formula 51
Compatibility equations 24 355—358 363—364
Complex variable method 679—680
Computational domain 680
Computational fluid dynamics (CFD) 3
Computer costs 4—5
Computer, invention of 4
Conical flow 368—371 614—617
Conical Navier — Stokes equations 541 582 614—617
Connectivity 702—703
Conservation-law form 58—60 251
Conservative form see "Conservation-law form"
Conservative property 58—60
Conservative supra-characteristic method (CSCM) see "CSCM scheme"
Consistency 54—55 57
Continuity equation 249 250—252
Continuity equation, Reynolds form 275—276
Contravariant velocity components 420 545
Control-volume approach 71—76 731—736
Convergence 56—57
Convergence, iteration 57
| Convergence, truncation 57
Coordinate transformations see "Transformations"
Coupled solvers for incompressible Navier — Stokes equations 661—667
Coupled solvers for PPNS equations 513 604—609
Courant number 88
Courant — Friedrichs — Lewy (CFL) condition see "CFL stability condition"
Cramer's rule 148
Crank — Nicolson method for 1-D heat equation 63—64 130—131
Crank — Nicolson method for 2-D boundary-layer equations 447—459 477
Crank — Nicolson method for 2-D heat equation 137—139
Crank — Nicolson method for 3-D boundary-layer equations 521—523
Crocco equation 327
Cross-term stress 284
Crossflow separation 546 610
Crowley method 236
CSCM scheme for Euler equations 439
CSCM scheme for Navier — Stokes equations 641
CSCM scheme for PNS equations 582
D'Alembert solution 27
Damping see "Smoothing"
Davis coupled scheme 452—455
Delaunay mesh 386 701—702
Delaunay triangulation 703—705
Delta form 140 194 565 635
Density biasing 418—419
Departure solutions 546 555 559—561
Diagonal dominance 155 456—457
Difference operators 48—51
Difference operators, averaging 49
Difference Operators, Backward 48—50
Difference operators, central 49—50 137
Difference operators, forward 48—50
Difference operators, identity 49
Difference operators, shift 49
Differential equation grid generator 679—680 688—698
Diffusion 106
Diffusion equation see "Heat equation"
Diffusive equation 638
Direct methods 148—153
Direct numerical simulation (DNS) 272
Dirichlet problem 34
Discretization error 54—55 84
Discriminant 24—25
dispersion 106—109 111
Displacement thickness 489—492 538 see
Dissipation 106—109 111
Dissipation function 257 270 279
Divergence form see "Conservative-law form"
Divergence theorem 59 73
Domain of dependence 27—28 519—521
Doublet distribution 433
Driven cavity problem 655—656
Dual potential method 658—659
DuFort — Frankel method for boundary-layer equations 459—462 477
DuFort — Frankel method for Burgers' equation 225
DuFort — Frankel method for heat equation 55 133
DuFort — Frankel method for Navier — Stokes equations 632 663
Dynamic viscosity, coefficient of 253
Eckert number 287
Eddy viscosity 299 624
Eigenfunction 17
Eigenvalue 17 36—37 92 95—96 356—357 362 556—558
Eigenvector 36 357—358
Elliptic grid generation schemes 688—694
energy equation 255—257
Energy equation, boundary layer equations 293 296—297 299
Energy equation, inviscid form 326
Energy equation, Reynolds form 278—280
Enquist — Osher scheme for Euler equations 388 395
Enquist — Osher scheme for inviscid Burgers' equation 201—204
Enquist — Osher scheme for Navier — Stokes equations 641—642
Enquist — Osher scheme for PNS equations 582
Enthalpy 257
entropy 327
Equation of state 257—259
Equidistribution schemes 710
Equilibrium problem 15—19 45 57—58
Euler equations 321—326 328—329 361—362 366—367
Euler explicit method 102—103
Euler implicit method for boundary-layer equations 448—449
Euler implicit method for Burgers' equation 229—230
Euler implicit method for Euler equations 375
Euler implicit method for Navier — Stokes equations 634
Euler implicit method for PNS equations 565
Euler implicit method for wave equation 113—115
Euler — Lagrange equations 699—700
Eulerian approach 251
EVP method 153
Explicit scheme 54 102
Factorization see "Approximate factorization"
Fast Fourier transform method 153
Fick's law 260
Filter, box 284
Filter, tophat 284
Filtered Navier — Stokes equations 283—285
Finite differences 46—52
Finite differences for mixed derivatives 53
Finite differences, backward difference 48—50
Finite differences, central difference 48—50
Finite differences, forward difference 47—50
Finite-difference operators see "Difference operators"
Finite-element methods 442 710
Finite-volume representations 45 71—75 79—82 342—348 731—736
First law of thermodynamics 250 255
Five-point formula 145
FLARE approximation 481—482 489 493 585 602 606
Flow separation see "Separated flows"
Fluctuation 274
Flux splitting 12 375—386
Flux, numerical 182 186 199 202
Flux-difference splitting 12 386—398
Flux-vector splitting 375—386
Fourier analysis see "von Neumann analysis"
Fourier's law 67 256
Fractional-step methods see "Splitting methods"
Free-shear flows 508—512
frequency 85
Fromm's method 120
FTCS method 220—224
Full potential equation 413—427
Fully developed flow 497
Fully implicit method see "Simple implicit method"
Fundamental equations 249—271
Gas constant 258
Gauss — Seidel iteration 153—158
Gaussian elimination 148—151
Genuine solution 177
Geometric conservation law 341
Global mass flow constraint 498—499
Global pressure relaxation procedure 561—562
Godunov scheme 12 195—198 387
Goldstein singularity 478
Green's second identity 432
Grid generation, structured, algebraic methods 679 681—688
Grid generation, structured, complex variable methods 679
Grid generation, structured, differential equation methods 679 688—698
Grid generation, structured, differential equation methods, elliptic schemes 688—694
Grid generation, structured, differential equation methods, hyperbolic schemes 694—696
Grid generation, structured, differential equation methods, parabolic schemes 697—698
Grid generation, unstructured 700—710
Grid generation, unstructured, advancing front methods 708
Grid generation, unstructured, Bowyer insertion scheme 702—708
Grid generation, unstructured, domain subdivision method 709
Grid generation, unstructured, hybrid grids 709
Grid generation, unstructured, point insertion schemes 702—708
Hagen — Poiseuille flow 497
Heat equation with source term 93
Heat equation, one-dimensional 20—22 52—54 63—64 126—144
Heat equation, two-dimensional 90—91 137—142 143—144
Heat-flux vector 256 263 266
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