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Volume 39, Issue 5
A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry

Jian Ren, Zhijun Shen, Wei Yan & Guangwei Yuan

DOI: 10.4208/jcm.2005-m2019-0173

J. Comp. Math., 39 (2021), pp. 666-692.

Published online: 2021-08

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  • 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.

  • Keywords

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

  • AMS Subject Headings

76M12, 35L65, 65M06

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ren_jian@iapcm.ac.cn (Jian Ren)

shen_zhijun@iapcm.ac.cn (Zhijun Shen)

wyanmath01@sina.com (Wei Yan)

yuan_guangwei@iapcm.ac.cn (Guangwei Yuan)

  • BibTex
  • RIS
  • TXT
@Article{JCM-39-666, author = {Ren , JianShen , ZhijunYan , Wei and Yuan , Guangwei}, title = {A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry}, journal = {Journal of Computational Mathematics}, year = {2021}, volume = {39}, number = {5}, pages = {666--692}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2005-m2019-0173}, url = {http://global-sci.org/intro/article_detail/jcm/19377.html} }
TY - JOUR T1 - A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry AU - Ren , Jian AU - Shen , Zhijun AU - Yan , Wei AU - Yuan , Guangwei JO - Journal of Computational Mathematics VL - 5 SP - 666 EP - 692 PY - 2021 DA - 2021/08 SN - 39 DO - http://doi.org/10.4208/jcm.2005-m2019-0173 UR - https://global-sci.org/intro/article_detail/jcm/19377.html KW - Riemann solver, ALE, HLLC-2D, Cylindrical geometry. AB -

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.

Ren , JianShen , ZhijunYan , Wei and Yuan , Guangwei. (2021). A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry. Journal of Computational Mathematics. 39 (5). 666-692. doi:10.4208/jcm.2005-m2019-0173
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