Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567465
Full text of review:
PDF
This review is available free of charge.
Book Information:
Authors:
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.
1. F. Bauer, P. Garabedian and D. Korn. Supercritical wing sections, Springer, 1972.
J. Thomas Beale and Andrew Majda, Vortex methods. I. Convergence in three dimensions, Math. Comp. 39 (1982), no. 159, 1–27. MR 658212, DOI 10.1090/S0025-5718-1982-0658212-5
J. Thomas Beale and Andrew Majda, Vortex methods. I. Convergence in three dimensions, Math. Comp. 39 (1982), no. 159, 1–27. MR 658212, DOI 10.1090/S0025-5718-1982-0658212-5
Alexandre Joel Chorin, Numerical study of slightly viscous flow, J. Fluid Mech. 57 (1973), no. 4, 785–796. MR 395483, DOI 10.1017/S0022112073002016
Alexandre Joel Chorin, Random choice solution of hyperbolic systems, J. Comput. Phys. 22 (1976), no. 4, 517–533. MR 471342, DOI 10.1016/0021-9991(76)90047-4
Alexandre Joel Chorin, Vortex models and boundary layer instability, SIAM J. Sci. Statist. Comput. 1 (1980), no. 1, 1–21. MR 572539, DOI 10.1137/0901001
Alexandre Joel Chorin, The evolution of a turbulent vortex, Comm. Math. Phys. 83 (1982), no. 4, 517–535. MR 649815
Phillip Colella, Glimm’s method for gas dynamics, SIAM J. Sci. Statist. Comput. 3 (1982), no. 1, 76–110. MR 651869, DOI 10.1137/0903007
R. Courant, K. Friedrichs, and H. Lewy, Über die partiellen Differenzengleichungen der mathematischen Physik, Math. Ann. 100 (1928), no. 1, 32–74 (German). MR 1512478, DOI 10.1007/BF01448839
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.
James Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 697–715. MR 194770, DOI 10.1002/cpa.3160180408
12. D. Gottlieb and S. Orszag, Numerical analysis of spectral methods, SIAM Publications, 1977.
Ole Hald and Vincenza Mauceri del Prete, Convergence of vortex methods for Euler’s equations, Math. Comp. 32 (1978), no. 143, 791–809. MR 492039, DOI 10.1090/S0025-5718-1978-0492039-1
14. M. Holt, Numerical methods in fluid mechanics, Springer, New York, 1980.
Peter D. Lax, Weak solutions of nonlinear hyperbolic equations and their numerical computation, Comm. Pure Appl. Math. 7 (1954), 159–193. MR 66040, DOI 10.1002/cpa.3160070112
Peter Lax and Burton Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13 (1960), 217–237. MR 120774, DOI 10.1002/cpa.3160130205
Tai Ping Liu, The deterministic version of the Glimm scheme, Comm. Math. Phys. 57 (1977), no. 2, 135–148. MR 470508
18. L. Richardson, Weather prediction by numerical process, Cambridge, 1922.
Robert D. Richtmyer and K. W. Morton, Difference methods for initial-value problems, 2nd ed., Interscience Tracts in Pure and Applied Mathematics, No. 4, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1967. MR 0220455
François Thomasset, Implementation of finite element methods for Navier-Stokes equations, Springer Series in Computational Physics, Springer-Verlag, New York-Berlin, 1981. 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.
- 1.
- F. Bauer, P. Garabedian and D. Korn. Supercritical wing sections, Springer, 1972.
- 2.
- J. T. Beale and A. J. Majda, Vortex methods. I convergences in three dimensions, Math. Comp. 39 (1982), 1. MR 0658212
- 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.
Review Information:
Reviewer:
Alexandre Joel Chorin
Journal:
Bull. Amer. Math. Soc.
9 (1983), 368-372
DOI:
https://doi.org/10.1090/S0273-0979-1983-15213-8