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Fletcher C.A. — Computational Techniques for Fluid Dynamics. Vol. 1
Fletcher C.A. — Computational Techniques for Fluid Dynamics. Vol. 1



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Название: Computational Techniques for Fluid Dynamics. Vol. 1

Автор: Fletcher C.A.

Аннотация:

This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics.
Volume 1 systematically develops fundamental computational techniques, partial differential equations including convergence, stability and consistency and equation solution methods. A unified treatment of finite difference, finite element, finite volume and spectral methods, as alternative means of discretion, is emphasized. For the second edition the author also compiled a separately available manual of solutions to the many exercises to be found in the main text.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second edition

Год издания: 1991

Количество страниц: 401

Добавлена в каталог: 23.10.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Transfinite interpolation      8
Transport equation, one dimensional (1D)      12 35 299—316
Transport equation, one dimensional (1D), algebraic schemes      302 303
Transport equation, one dimensional (1D), explicit schemes for      299—303 312
Transport equation, one dimensional (1D), implicit schemes for      304—306 312 313
Transport equation, one dimensional (1D), phase behaviour of discrete schemes      310 314 315
Transport equation, one dimensional (1D), separation of variables solution of      306
Transport equation, two dimensional (2D)      316—328 376—377
Transport equation, two dimensional (2D), split formulations for      317—318
Trapezoidal scheme for ordinary differential equations      243
Trial function      98—101
Trial function and finite element method      117
Trial solution and finite element method      127 137
Triangular elements      143
Tridiagonal systems of algebraic equations      136 183—184 252
Truncation error      49 52—57 61
Truncation error and consistency      76—79
Truncation error and dissipation and dispersion      290—291
Truncation error, cancellation      77 90 221 226 231
Truncation error, leading term      56 57
Turbulence, direct solution      149
TWBURG: 2D Burgers' equation numerical solution      364—372
TWDIF: generalised FD/FE implementation      259—266
Upwind scheme, four point      296—298
Upwind scheme, four point and $q_{\mathrm{opt}}$      345
Upwind scheme, four point and 1D Burgers' equation      335 338
Upwind scheme, four point and 1D transport equation      305 306
Upwind scheme, four point and 2D Burgers' equation      364
Upwind scheme, four point and 2D transport equation      324—326
Upwind scheme, four point and suppression of dispersion      298
Upwind scheme, four point, accuracy      298 312 313
Upwind scheme, two point and 1D transport equation      301 302
Upwind scheme, two point and convection diffusion equation      295 296
Upwind scheme, two point and cross-stream diffusion      317
Upwind scheme, two point and linear convection equation      278 279 281
V-cycle, multigrid      204
Vector processing      4 5 16
VEL: velocity in channel at specified location      142
Velocity      47 89 137 277 319
Velocity potential      13
Viscous dissipation      34
Viscous flow      59 98 116 137 156 276 332 336 359
Von Neumann method of stability analysis      85—88
Von Neumann method of stability analysis and convective nonlinearity      372
Wave equation      30
wave number      61
Wave propagation and dissipation dispersion      287—290
Wave propagation speed      62 289
Wave representation      60—64
Wavelength      61
Wavelength and error distribution      200
Wavelength, attenuation and dispersion      287
Wavelength, behaviour for 1D transport equation      314 315
Weak form of governing equation      100
Weather forecasting      3 11
Weight function      100 101 135 146
Weighted residual method      98—101
Weighted residual method and comparison of constituent methods      101—105
Well-posed problem      18—20
Wind-tunnel experiments vs CFD      2
Zonal method      8
1 2 3
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