Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes

Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.167-176, October 7-10 2001

MESHING
RESEARCH
CORNER

10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001

M. Shashkov
Los Alamos National Laboratory, Los Alamos, NM
Email: shashkov@lanl.gov
P. Knupp
Sandia National Laboratory, Albuquerque, NM
Email: pknupp@sandia.gov

Abstract
The objective of the Arbitrary Lagrangian-Eulerian (ALE) methodology for solving multidimensional fluid flow prob- lems is to move the computational mesh, using the flow as a guide, to improve the robustness, accuracy and efficiency of the simulation. A principal element is the rezone phase in which the computational ("rezoned") mesh is created that is adapted to the fluid motion. Here we describe a general rezone strategy that ensures the geometric quality of the computational mesh, while keeping it as close as possible to the Lagrangian mesh. In terminology of meSh gener- ation community our method can be classified as a two-stage smoothing algorithm. We provide numerical examples to demonstrate the robustness and the effectiveness of our methodology.

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