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A CELL-CENTERED ALE METHOD WITH HLLC-2D RIEMANN SOLVER IN 2D CYLINDRICAL GEOMETRY

Jian Ren1, Zhijun Shen1,2, Wei Yan1, Guangwei Yuan1   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    2. Center for Applied Physics and Technology, HEDPS, Peking University, Beijing 100081, China
  • Received:2019-07-19 Revised:2020-02-18 Published:2021-10-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (U1630249, 11971071, 11971069, 11871113), the Science Challenge Project (JCKY2016212A502) and the Foundation of Laboratory of Computation Physics. The authors appreciate the reviewers’ help and valuable suggestions during the revision of this paper.

Jian Ren, Zhijun Shen, Wei Yan, Guangwei Yuan. A CELL-CENTERED ALE METHOD WITH HLLC-2D RIEMANN SOLVER IN 2D CYLINDRICAL GEOMETRY[J]. Journal of Computational Mathematics, 2021, 39(5): 666-692.

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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