Numerical solution of the Navier-Stokes equations. (English) Zbl 0198.50103

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[1] Hiroshi Fujita and Tosio Kato, On the Navier-Stokes initial value problem. I, Arch. Rational Mech. Anal. 16 (1964), 269 – 315. · Zbl 0126.42301
[2] A. J. Chorin, ”A numerical method for solving incompressible viscous flow problems,” J. Computational Physics, v. 2, 1967, p. 12. · Zbl 0149.44802
[3] J. O. Wilkes, ”The finite difference computation of natural convection in an enclosed cavity,” Ph.D. Thesis, Univ. of Michigan, Ann Arbor, Mich., 1963.
[4] A. A. Samarskiĭ, An efficient difference method for solving a multidimensional parabolic equation in an arbitrary domain, Ž. Vyčisl. Mat. i Mat. Fiz. 2 (1962), 787 – 811 (Russian).
[5] Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. · Zbl 0133.08602
[6] P. R. Garabedian, Estimation of the relaxation factor for small mesh size, Math. Tables Aids Comput. 10 (1956), 183 – 185. · Zbl 0073.10804
[7] C. E. Pearson, ”A computational method for time dependent two dimensional incompressible viscous flow problems,” Report No. SRRC-RR-64-17, Sperry Rand Research Center, Sudbury, Mass., 1964.
[8] Alexandre Joel Chorin, The numerical solution of the Navier-Stokes equations for an incompressible fluid, Bull. Amer. Math. Soc. 73 (1967), 928 – 931. · Zbl 0168.46501
[9] S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, The International Series of Monographs on Physics, Clarendon Press, Oxford, 1961. · Zbl 0142.44103
[10] A. J. Chorin, ”Numerical study of thermal convection in a fluid layer heated from below,” AEC Research and Development Report No. NYO-1480-61, New York Univ., Aug. 1966.
[11] P. H. Rabinowitz, ”Nonuniqueness of rectangular solutions of the Benard problem,” Arch. Rational Mech. Anal. (To appear.) · Zbl 0164.28704
[12] E. L. Koschmieder, ”On convection on a uniformly heated plane,” Beitr. Physik. Alm., v. 39, 1966, p. 1.
[13] H. T. Rossby, ”Experimental study of Benard convection with and without rotation,” Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, Mass., 1966.
[14] F. Busse, ”On the stability of two dimensional convection in a layer heated from below,” J. Math. Phys., v. 46, 1967, p. 140. · Zbl 0204.28401
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