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

Morrell, J. M., Sweby, P. K. ORCID: https://orcid.org/0009-0003-8488-0251 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. 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/807
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	elsevier
Download/View statistics	View download statistics for this item