Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates
| Autor: | Chi-Wang Shu, Juan Cheng, Dan Ling |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
General Computer Science
Log-polar coordinates Mathematical analysis General Engineering Canonical coordinates Action-angle coordinates Parabolic coordinates 01 natural sciences 010305 fluids & plasmas 010101 applied mathematics Generalized coordinates Orthogonal coordinates Parabolic cylindrical coordinates 0103 physical sciences 0101 mathematics Bipolar coordinates Mathematics |
| Zdroj: | Computers & Fluids. 157:112-130 |
| ISSN: | 0045-7930 |
| DOI: | 10.1016/j.compfluid.2017.08.029 |
| Popis: | For a Lagrangian scheme solving the compressible Euler equations in cylindrical coordinates, two important issues are whether the scheme can maintain spherical symmetry (symmetry-preserving) and whether the scheme can maintain positivity of density and internal energy (positivity-preserving). While there were previous results in the literature either for symmetry-preserving in the cylindrical coordinates or for positivity-preserving in cartesian coordinates, the design of a Lagrangian scheme in cylindrical coordinates, which is high order in one-dimension and second order in two-dimensions, and can maintain both spherical symmetry-preservation and positivity-preservation simultaneously, is challenging. In this paper we design such a Lagrangian scheme and provide numerical results to demonstrate its good behavior. |
| Databáze: | OpenAIRE |
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