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Yang, Haihua; Zhang, Ping

A hybrid subcell-remapping algorithm for staggered multi-material arbitrary Lagrangian-Eulerian methods. (English) Zbl 1431.76106

AMM, Appl. Math. Mech., Engl. Ed. 40, No. 10, 1487-1508 (2019).
Summary: A new flux-based hybrid subcell-remapping algorithm for staggered multimaterial arbitrary Lagrangian-Eulerian (MMALE) methods is presented. This new method is an effective generalization of the original subcell-remapping method to the multi-material regime [R. Loubére and M. J. Shashkov, J. Comput. Phys. 209, No. 1, 105–138 (2005; Zbl 1329.76236)]. A complete remapping procedure of all fluid quantities is described detailedly in this paper. In the pure material regions, remapping of mass and internal energy is performed by using the original subcell-remapping method. In the regions near the material interfaces, remapping of mass and internal energy is performed with the intersection-based fluxes where intersections are performed between the swept regions and pure material polygons in the Lagrangian mesh, and an approximate approach is then introduced for constructing the subcell mass fluxes. In remapping of the subcell momentum, the mass fluxes are used to construct the momentum fluxes by multiplying a reconstructed velocity in the swept region. The nodal velocity is then conservatively recovered. Some numerical examples simulated in the full MMALE regime and several purely cyclic remapping examples are presented to prove the properties of the remapping method.

MSC:

76M99 Basic methods in fluid mechanics
76T99 Multiphase and multicomponent flows

Keywords:

multi-material arbitrary Lagrangian-Eulerian (MMALE); subcell remapping method; hybrid remapping method

Citations:

Zbl 1329.76236

Software:

EGAK; ReALE
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\textit{H. Yang} and \textit{P. Zhang}, AMM, Appl. Math. Mech., Engl. Ed. 40, No. 10, 1487--1508 (2019; Zbl 1431.76106)
Full Text: DOI

References:

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