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A cell by cell anisotropic adaptive mesh ALE scheme for the numerical solution of the Euler equations

Morrell, J. M., Sweby, P. K. and Barlow, A. (2007) A cell by cell anisotropic adaptive mesh ALE scheme for the numerical solution of the Euler equations. Journal of Computational Physics, 226. pp. 1152-1180.

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To link to this article DOI: 10.1016/j.jcp.2007.05.040

Abstract/Summary

In this paper a cell by cell anisotropic adaptive mesh technique is added to an existing staggered mesh Lagrange plus remap finite element ALE code for the solution of the Euler equations. The quadrilateral finite elements may be subdivided isotropically or anisotropically and a hierarchical data structure is employed. An efficient computational method is proposed, which only solves on the finest level of resolution that exists for each part of the domain with disjoint or hanging nodes being used at resolution transitions. The Lagrangian, equipotential mesh relaxation and advection (solution remapping) steps are generalised so that they may be applied on the dynamic mesh. It is shown that for a radial Sod problem and a two-dimensional Riemann problem the anisotropic adaptive mesh method runs over eight times faster.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:807
Publisher:elsevier

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