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Book Review
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Book Information
Author(s):
Roger Peyret and Thomas D. Taylor
Title:
Computational methods for fluid flow
Additional book information:
Springer Series in Computational Physics, Springer-Verlag, New York, 1983, x + 358 pp., $42.50. ISBN 0-3871-1147-6
References:
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- 2.
- J. T. Beale and A. J. Majda, Vortex methods. I convergences in three dimensions, Math. Comp. 39 (1982), 1. MR 658212
- 3.
- J. T. Beale and A. J. Majda, Vortex methods. II higher order accuracy in two and three dimensions, Math. Comp. 39 (1982), 29. MR 658213
- 4.
- A. J. Chorin, Numerical study of slightly viscous flow, J. Fluid Mech. 57 (1973), 785. MR 395483
- 5.
- A. J. Chorin, Random choice solution of hyperbolic systems, J. Comput. Phys. 22 (1976), 517. MR 471342
- 6.
- A. J. Chorin, Vortex models and boundary layer instability, SIAM J. Sci. Statist. Comput. 1 (1980), 1. MR 572539
- 7.
- A. J. Chorin, The evolution of a turbulent vortex, Comm. Math. Phys. 83 (1982), 517. MR 649815
- 8.
- P. Colella, Glimm's method for gas dynamics, SIAM J. Sci. Statist. Comput. 3 (1982), 76. MR 651869
- 9.
- R. Courant, K. O. Friedrichs and H. Lewy, Über die partiellen differenzengleichungen der mathematischen physik, Math. Ann. 100 (1928), 32. MR 1512478
- 10.
- A. F. Ghoniem, A. J. Chorin and A. K. Oppenheim, Numerical modelling of turbulent flow in a combustion tunnel, Philos. Trans. Roy. Soc. London A 304 (1982), 303.
- 11.
- J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 697. MR 194770
- 12.
- D. Gottlieb and S. Orszag, Numerical analysis of spectral methods, SIAM Publications, 1977.
- 13.
- O. H. Hald, Convergence of vortex methods for Euler's equations, SIAM J. Numer. Anal. 16 (1979), 726. MR 543965
- 14.
- M. Holt, Numerical methods in fluid mechanics, Springer, New York, 1980.
- 15.
- P. D. Lax, Weak solutions of nonlinear hyperbolic equations and their numerical computation, Comm. Pure Appl. Math. 7 (1954), 159. MR 66040
- 16.
- P. D. Lax and B. Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13 (1960), 363. MR 120774
- 17.
- T. P. Liu, The deterministic version of the Glimm scheme, Comm. Math. Phys. 57 (1977), 135. MR 470508
- 18.
- L. Richardson, Weather prediction by numerical process, Cambridge, 1922.
- 19.
- R. D. Richtmyer and K. W. Morton, Difference methods for initial value problems, Interscience, New York, 1967. MR 220455
- 20.
- F. Thomasset, Implementation of finite element methods for Navier-Stokes equations, Springer, New York, 1982. MR 720192
- 21.
- M. Van Dyke, An album of fluid motion, Parabolic Press, Stanford, 1982.
- 22.
- N. J. Zabusky and M. D. Kruskal, Interactions of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett. 15 (1965), 240.
- 23.
- Proc. Sixth AIAA Computational Fluid Dynamics Conf., Danvers, Mass., 1983.
Additional Information:
Reviewer(s):
Alexandre Joel
Chorin
Review Information:
Journal:
Bull. Amer. Math. Soc.
9
(1983),
368-372.
DOI:
10.1090/S0273-0979-1983-15213-8
PII:
S 0273-0979(1983)15213-8
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