A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry

Authors

  • Jian Ren Institute of Applied Physics and Computational Mathematics, Beijing, China
  • Zhijun Shen Laboratory of Computational Physics, Division of Applied Scientific Computing, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, 100088, China
  • Wei Yan Institute of Applied Physics and Computational Mathematics, Beijing, China
  • Guangwei Yuan Institute of Applied Physics and Computational Mathematics, Fenghaodong Road, Haidian district, Beijing 100094, China.

DOI:

https://doi.org/10.4208/jcm.2005-m2019-0173

Keywords:

Riemann solver, ALE, HLLC-2D, Cylindrical geometry.

Abstract

This paper presents a second-order direct arbitrary Lagrangian Eulerian (ALE) method for compressible flow in two-dimensional cylindrical geometry. This algorithm has half-face fluxes and a nodal velocity solver, which can ensure the compatibility between edge fluxes and the nodal flow intrinsically. In two-dimensional cylindrical geometry, the control volume scheme and the area-weighted scheme are used respectively, which are distinguished by the discretizations for the source term in the momentum equation. The two-dimensional second-order extensions of these schemes are constructed by employing the monotone upwind scheme of conservation law (MUSCL) on unstructured meshes. Numerical results are provided to assess the robustness and accuracy of these new schemes.

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Published

2021-10-15

Issue

Vol. 39 No. 5 (2021)

Section

Articles