Adaptive reconnection-based arbitrary Lagrangian Eulerian method

Bo, Wurigen; Shashkov, Mikhail

doi:10.1016/j.jcp.2015.07.032

Adaptive reconnection-based arbitrary Lagrangian Eulerian method

Journal Article · Tue Jul 21 00:00:00 EDT 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.07.032· OSTI ID:1247151

Bo, Wurigen ^[1]; Shashkov, Mikhail ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We present a new adaptive Arbitrary Lagrangian Eulerian (ALE) method. This method is based on the reconnection-based ALE (ReALE) methodology of Refs. [35], [34] and [6]. The main elements in a standard ReALE method are: an explicit Lagrangian phase on an arbitrary polygonal (in 2D) mesh in which the solution and positions of grid nodes are updated; a rezoning phase in which a new grid is defined by changing the connectivity (using Voronoi tessellation) but not the number of cells; and a remapping phase in which the Lagrangian solution is transferred onto the new grid. Furthermore, in the standard ReALE method, the rezoned mesh is smoothed by using one or several steps toward centroidal Voronoi tessellation, but it is not adapted to the solution in any way.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1247151

Alternate ID(s):: OSTI ID: 1247010

Report Number(s):: LA-UR--15-21737; PII: S0021999115004775

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 299; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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