Finite difference methods of solution of nonlinear flow processes with application to the Ben©Øard problem /
by Jacob E. Fromm

Description

Main Author

Fromm, Jacob E.

Related Names

U.S. Atomic Energy Commission.
Los Alamos Scientific Laboratory.

Language(s)

English

Published

Los Alamos, New Mexico : Los Alamos Scientific Laboratory of the University of California, 1966.

Subjects

Rayleigh-B©Øenard convection.
Finite differences.

Summary

A general method of numerical calculation of compressible flows is outlined in which such flows are divided into irrotational and solenoidal parts. The general equations are reduced to the Boussinesq approximation for consideration of the B©Øenard problem. The B©Øenard problem, both in method of solution and result, is used to analyse a number of crucial aspects of finite difference calculation. In particular, the nonlinear formulations in current use are developed and related in a systematic way; and, in addition, some higher order methods are derived. Examples of the time-dependent behavior of the thermal convection problem are examined for physical interpretation in terms of gross property measurements and character of instantaneous solutions with the hope that the experience so gained will be valuable to extensions of the numerical method to more general problems.

Note

"Report distributed: January 4, 1967."
"Report written: April 1966."
"LA-3522; UC-32, Mathematics and Computers; TID-4500."

Physical Description

135 pages : illustrations ; 28 cm.

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