Gasdynamic modeling and computational accuracy
| Autor: | Sin-i Cheng, Gregory R. Shubin |
|---|---|
| Rok vydání: | 1979 |
| Předmět: |
Pointwise
Numerical Analysis Physics and Astronomy (miscellaneous) Mathematical model Discretization Applied Mathematics Extrapolation Finite element method Computer Science Applications Burgers' equation Computational Mathematics Nonlinear system Modeling and Simulation Applied mathematics Polygon mesh Statistical physics Mathematics |
| Zdroj: | Journal of Computational Physics. 32:39-55 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/0021-9991(79)90140-2 |
| Popis: | The study of the behavior of computational solutions of Burgers' equation at large mesh Reynolds numbers ReΔx is extended to a one-dimensional steady-state model gasdynamic system with downstream extrapolation conditions. The oscillations generally present in computed results at large ReΔx can be minimized by choosing a particular formally second-order accurate, conservative discretization of the nonlinear terms (ϱu)x and (ϱu2)x in the continuity and momentum equations. This minimally oscillatory solution has small pointwise error even at large ReΔx. It is seen that smoothness by itself may not guarantee computational accuracy, and that overly refined spatial meshes may lead to large errors. Results from a realistic two-dimensional computation showing some qualitative agreement with the present conclusions are given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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