A flux splitting method for the numerical simulation of one-dimensional compressible flow

S.R. Mulpuru

Mathematics and Computers in Simulation (MATCOM), 1983, vol. 25, issue 4, 309-320

Abstract: Using the technique of flux vector splitting, it is shown that one-dimensional, inviscid, compressible-flow equations possess a split conservation form. Some attractive features of this form for the design of finite-difference solution schemes are discussed. Based on the split form, two solution chemes are designed. One is a first-order accurate ‘upwind’ scheme and the other is similar to the Lax-Wendroff scheme. A hybrid scheme, based on a nonlinear weighting of these two schemes, is demonstrated to yield results superior to either of the two in the solution of an ideal shock-tube problem.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:25:y:1983:i:4:p:309-320

DOI: 10.1016/0378-4754(83)90051-4

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