About Courant (CFL) number

March 17, 2003, 09:42

Any body can suggest some basic reference about CFL number, for the iteration of time dependent flow cases? Especially the initial paper when CFL number is established. Thanks.

March 17, 2003, 10:39

refer to the classic paper of CFL published in 1928(finite difference methods for PDE).

R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen Differenzengleichungen der mathematischen Physik," Mathematische Annalen 100 (1928), 32-74. Translated as: "On the partial difference equations of mathematical physics," IBM Journal of Resarch and Development 11 (1967),pp. 215-234.

March 17, 2003, 11:11

Try

Courant & Friedrichs: Supersonic flows and Shock waves. (Springer-Verlag)

Courant, Isaacson & Rees (1952): On the solution of nonlinear hyperbolic differential equations by finite differences. Comm. Pure and Appl. Math vol 5.

Keller & Lax (1950): Finite difference schemes for hyperbolic systems. LAMS 1201.

The problem of domains of dependence are also discussed in the book

Water waves by Stoker (where I got the above references).

Tom.

March 17, 2003, 09:42	About Courant (CFL) number	#1
Jason Guest Posts: n/a	Any body can suggest some basic reference about CFL number, for the iteration of time dependent flow cases? Especially the initial paper when CFL number is established. Thanks.

March 17, 2003, 10:39	Re: About Courant (CFL) number	#2
gita Guest Posts: n/a	refer to the classic paper of CFL published in 1928(finite difference methods for PDE). R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen Differenzengleichungen der mathematischen Physik," Mathematische Annalen 100 (1928), 32-74. Translated as: "On the partial difference equations of mathematical physics," IBM Journal of Resarch and Development 11 (1967),pp. 215-234.

March 17, 2003, 11:11	Re: About Courant (CFL) number	#3
Tom Guest Posts: n/a	Try Courant & Friedrichs: Supersonic flows and Shock waves. (Springer-Verlag) Courant, Isaacson & Rees (1952): On the solution of nonlinear hyperbolic differential equations by finite differences. Comm. Pure and Appl. Math vol 5. Keller & Lax (1950): Finite difference schemes for hyperbolic systems. LAMS 1201. The problem of domains of dependence are also discussed in the book Water waves by Stoker (where I got the above references). Tom.

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