CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2019, Vol. 36 ›› Issue (1): 15-24.DOI: 10.19596/j.cnki.1001-246x.7782

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A Sound Speed-Based Rezoning Strategy for ALE Methods

DAI Zihuan   

  1. Deng Jiaxian Research Center, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2017-10-20 Revised:2018-01-18 Online:2019-01-25 Published:2019-01-25

Abstract: A sound speed distribution-based rezoning strategy is introduced for optimizing deformed Lagrangian grid in arbitrary Lagrangian Eulerian fluid computational methods which includes sound speed distribution-based grid relaxation functional, derivation, discretization and solution of modified gradient flow equations, conditions for starting/terminating grid optimizing procession based on subzonal time step, and algorithm of ALE method based on the new rezoning strategy. Advantage of the method is that it not only optimizes geometry form of grid but also improves time step of Lagrangian hydrodynamic computation. Numerical examples which include ALE calculations of Rayleigh-Taylor instability problem are given to show effectiveness of the strategy.

Key words: sound speed, grid optimization, ALE

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