A finite-volume method for the Euler equations on arbitrary Lagrangian- Eulerian grids. (English) Zbl 0744.76094
Summary: This study presents a finite-volume method for the solution of 2- D/axisymmetric Euler equations using triangular moving grids. The flow simulation is carried out using Roe’s approximate Riemann solver [P. L. Roe, J. Comput. Phys. 43, 357-372 (1981; Zbl 0474.65066)]. The importance of the implicit treatment of the space conversation laws, based on geometric analysis, is emphasized. The procedure for reconstructing Roe’s method for moving meshes is described and validated.
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
Citations:
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