A CELL-CENTERED ALE METHOD WITH HLLC-2D RIEMANN SOLVER IN 2D CYLINDRICAL GEOMETRY |
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| Authors: | Jian Ren Zhijun Shen Wei Yan Guangwei Yuan |
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| Institution: | Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Center for Applied Physics and Technology,HEDPS,Peking University,Beijing 100081,China |
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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 vol-ume 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 up-wind 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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| Keywords: | Riemann solver ALE HLLC-2D Cylindrical geometry |
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