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Tannehill J.C., Anderson D.A., Pletcher R.H. — Computational Fluid Mechanics and Heat Transfer
Tannehill J.C., Anderson D.A., Pletcher R.H. — Computational Fluid Mechanics and Heat Transfer



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Íàçâàíèå: Computational Fluid Mechanics and Heat Transfer

Àâòîðû: Tannehill J.C., Anderson D.A., Pletcher R.H.

Àííîòàöèÿ:

This comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter.


ßçûê: en

Ðóáðèêà: Ôèçèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Èçäàíèå: 2-å èçäàíèå

Ãîä èçäàíèÿ: 1997

Êîëè÷åñòâî ñòðàíèö: 803

Äîáàâëåíà â êàòàëîã: 24.11.2013

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
$K-\varepsilon$ 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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