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U.S. Department of Energy
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Survey of numerical methods for compressible fluids

Technical Report ·
DOI:https://doi.org/10.2172/7308221· OSTI ID:7308221
The finite difference methods of Godunov, Hyman, Lax-Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, and the artificial compression method of Harten are compared with the random choice known as Glimm's method. The methods are used to integrate the one-dimensional equations of gas dynamics for an inviscid fluid. The results are compared and demonstrate that Glimm's method has several advantages. 16 figs., 4 tables.
Research Organization:
New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
Sponsoring Organization:
US Energy Research and Development Administration (ERDA)
DOE Contract Number:
EY-76-C-02-3077
OSTI ID:
7308221
Report Number(s):
COO-3077-145
Country of Publication:
United States
Language:
English