Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 229, Issue 12, Pages 4724-4761Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2010.03.011
Keywords
Lagrangian hydrodynamics; Cell-centered scheme; Compressible flow; Staggered scheme; Voronoi mesh; Arbitrary-Lagrangian-Eulerian; Mesh reconnection; Multi-dimensional unstructured polygonal mesh
Funding
- US Department of Energy at Los Alamos National Laboratory [DE-AC52-06NA25396]
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We present a new reconnection-based arbitrary-Lagrangian-Eulerian (ALE) method. The main elements in a standard ALE simulation are an explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase in which a new grid is defined, and a remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto the new grid. In standard ALE methods the new mesh from the rezone phase is obtained by moving grid nodes without changing connectivity of the mesh. Such rezone strategy has its limitation due to the fixed topology of the mesh. In our new method we allow connectivity of the mesh to change in rezone phase, which leads to general polygonal mesh and allows to follow Lagrangian features of the mesh much better than for standard ALE methods. Rezone strategy with reconnection is based on using Voronoi tessellation. We demonstrate performance of our new method on series of numerical examples and show it superiority in comparison with standard ALE methods without reconnection. (C) 2010 Elsevier Inc. All rights reserved.
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