中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：闫伟 教授（吉林大学）
地  点：腾讯会议：485-564-429   

题  目：HLLC2D: a robust Riemann Solver
时  间：2023.11.17（星期五）上午09:00-10:00

摘 要：In this talk, we present a new HLLC-type Riemann solver which extends the Maire's lagrangian scheme to Euler and ALE frame work. By introducing two-dimensional nodal contact velocity, the new solver includes multi-dimensional information and is contact preserving. Some numerical results are presented to show the robustnesss and accuracy of the new solver.
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题  目：A cell-centered ale method with hllc-2d Riemann solver in 2d cylindrical geometry
时  间：2023.11.17（星期五）上午10:00-11:00

摘 要：In this talk, we present 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.