Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes
Shashkov, M and P. Knupp
Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.167-176, October 7-10 2001
10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001
Los Alamos National Laboratory, Los Alamos, NM
Sandia National Laboratory, Albuquerque, NM
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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