A 2D Cell-centered MMALE Method Based on MOF Interface Reconstruction

Abstract

Abstract: A 2D cell-centered multi-material arbitrary Lagrangian-Eulerian(MMALE) method based on moment of fluid(MOF) interface reconstruction is developed. Hydrodynamic equations are discretized and solved by cell-centered Lagrangian scheme. Tipton's pressure relaxation model is adopted as closure model for mixed cells. MOF method is simplified and improved to reconstruct interface in mixed cells. A conservative integral remapping algorithm based on cell-intersection is used in remapping phase. Several numerical examples are given, such as 2D periodic vortex problem, Sedov problem, interaction of a shock wave with an helium bubble,a strong water shock impacting on a cylindrical air bubble in water,2D Rayleigh-Taylor instability, etc.It shows that the method is of second order accurate, and is capable of computing problems involving large density and/or pressure ratios across interface. Its robustness is better than that of staggered MMALE method and it is applicable to complex multi-material hydrodynamic problems.

Key words: MOF interface reconstruction, 2D cell-centered MMALE method

CLC Number:

O241.82

JIA Zupeng, SUN Yutao. A 2D Cell-centered MMALE Method Based on MOF Interface Reconstruction[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(5): 523-538.

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