Bulletin of the American Mathematical Society

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.