A two-dimensional fourth-order unstructured-meshed Euler solver based on the CESE method
| Autor: | Jean-Luc Cambier, David Bilyeu, S.-T. John Yu, Yung-Yu Chen |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Spacetime Applied Mathematics Geometry Acoustic wave Stencil Riemann solver Computer Science Applications Vortex Quadrature (mathematics) Computational Mathematics Nonlinear system symbols.namesake Modeling and Simulation Convergence (routing) symbols Applied mathematics Mathematics |
| Zdroj: | Journal of Computational Physics. 257:981-999 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2013.09.044 |
| Popis: | In this paper, Chang?s one-dimensional high-order CESE method 1] is extended to a two-dimensional, unstructured-triangular-meshed Euler solver. This fourth-order CESE method retains all favorable attributes of the original second-order CESE method, including: (i) flux conservation in space and time without using an approximated Riemann solver, (ii) genuine multi-dimensional algorithm without dimensional splitting, (iii) the CFL constraint for stable calculation remains to be ≤1, (iv) the use of the most compact mesh stencil, involving only the immediate neighboring cells surrounding the cell where the solution at a new time step is sought, and (v) an explicit, unified space-time integration procedure without using a quadrature integration procedure. To demonstrate the new algorithm, three numerical examples are presented: (i) a moving vortex, (ii) acoustic wave interaction, and (iii) supersonic flow over a blunt body. Case 1 shows fourth-order convergence through mesh refinement. In Case 2, the nonlinear Euler solver is applied to simulate linear waves. In Case 3, superb shock capturing capabilities of the new fourth-order method without the carbuncle effect is demonstrated. |
| Databáze: | OpenAIRE |
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