An accuracy assessment of Cartesian-mesh approaches for the Euler equations
Journal Article
·
· Journal of Computational Physics
- NASA Lewis Research Center, Cleveland, OH (United States)
- Univ. of Michigan, Ann Arbor, MI (United States)
A critical assessment of the accuracy of Cartesian-mesh approaches for steady, transonic solutions of the Euler equations of gas dynamics is made. An exact solution of the Euler equations (Ringleb`s flow) is used not only to infer the order of the truncation error of the Cartesian-mesh approaches, but also to compare the magnitude of the discrete error directly to that obtained with a structured mesh approach. Uniformly and adaptively refined solutions using a Cartesian-mesh approach are obtained and compared to each other and to uniformly refined structured mesh results. THe effect of cell merging is investigate as well as the use of two different K-exact reconstruction procedures. The solution methodology of the schemes is explained and tabulated results are presented to compare the solution accuracies. 31 refs., 15 figs., 3 tabs.
- OSTI ID:
- 91148
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 117; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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