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Comparative study of high-resolution shock-capturing schemes for a real gasRecently developed second-order explicit shock-capturing methods, in conjunction with generalized flux-vector splittings, and a generalized approximate Riemann solver for a real gas are studied. The comparisons are made on different one-dimensional Riemann (shock-tube) problems for equilibrium air with various ranges of Mach numbers, densities and pressures. Six different Riemann problems are considered. These tests provide a check on the validity of the generalized formulas, since theoretical prediction of their properties appears to be difficult because of the non-analytical form of the state equation. The numerical results in the supersonic and low-hypersonic regimes indicate that these produce good shock-capturing capability and that the shock resolution is only slightly affected by the state equation of equilibrium air. The difference in shock resolution between the various methods varies slightly from one Riemann problem to the other, but the overall accuracy is very similar. For the one-dimensional case, the relative efficiency in terms of operation count for the different methods is within 30%. The main difference between the methods lies in their versatility in being extended to multidimensional problems with efficient implicit solution procedures.
Document ID
19870018037
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Montagne, J.-L. (NASA Ames Research Center Moffett Field, CA, United States)
Yee, H. C. (NASA Ames Research Center Moffett Field, CA, United States)
Vinokur, M. (Sterling Software Palo Alto, Calif., United States)
Date Acquired
September 5, 2013
Publication Date
July 1, 1987
Subject Category
Numerical Analysis
Report/Patent Number
A-87274
AD-B119740L
NASA-TM-100004
NAS 1.15:100004
Accession Number
87N27470
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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