An Arbitrary Lagrangian-Eulerian Type Moving Mesh Generalized Riemann Problem Scheme for Reactive Flows

doi:10.19596/j.cnki.1001-246x.8019

Abstract

Abstract: We present a generalized Riemann problem based, remapping free moving mesh scheme to simulate reactive flows. The scheme is based on solution of a generalized Riemann problem on moving meshes and is explicitly remapping free. In construction of numerical fluxes, we use generalized Riemann problem scheme to get high accuracy. A variational approach is applied to generate an adaptive moving mesh to get high resolution in reactive zone. The scheme can not only keep the mesh quality,but also avoid efficiently numerical errors induced by an explicit remapping process in arbitrary Lagrangian-Eulerian methods. Numerical experiments, including Chapmann-Jouguet detonation and unstable detonation, demonstrate accuracy and robustness of the scheme. It shows that the generalized Riemann problem moving mesh method performs well for reactive flows with both discontinuities and smooth structures.

Key words: moving mesh method, ALE, GRP scheme, reactive flow

CLC Number:

XIAO Min, XU Xihua, NI Guoxi. An Arbitrary Lagrangian-Eulerian Type Moving Mesh Generalized Riemann Problem Scheme for Reactive Flows[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(2): 127-139.

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