An ADRS Approximated Riemann Solver in Compatible Lagrangian Method

doi:10.19596/j.cnki.1001-246x.8031

Abstract

Abstract: Analyzing advantages and disadvantages of three Riemann solvers of AC(Acoustic), MFCAV(Multi Fluid Channel on Averaged Volume) and HLLC for compressible multimaiterial fluid problems, we constructed an adaptive Riemann solver(ADRS) as a weighted average of three solvers. Rule for designing weights is discussed in detail. ADRS Riemann solver is applied to a compatible cell-centered Lagrangian method which resisting spurious mesh deformation by viewing MFCAV as a modification of AC solver. Numerical examples include Taylor Green vortex problem are given to show efficiency of the method.

Key words: cell-centered Lagrangian method, staggered Lagrangian method, approximate Riemann solver

CLC Number:

O241

LIU Yan, MAO Dekang. An ADRS Approximated Riemann Solver in Compatible Lagrangian Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(2): 140-152.

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