Year: 2021
Author: Jian Ren, Zhijun Shen, Wei Yan, Guangwei Yuan
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2005-m2019-0173
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 5 : pp. 666–692
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Riemann solver ALE HLLC-2D Cylindrical geometry.
Author Details
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A cylindrical discontinuous Galerkin method for compressible flows in axisymmetric geometry
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