Selšuk Journal of Applied Mathematics

www.selcuk.edu.tr




 Selšuk Journal of
  Applied Mathematics

 Winter-Spring, 2002
Volume  3
 Number 1

 
Research Center of 
  Applied Mathematics

 SJAM Winter-Spring 2002, Volume 3 - Number 1

Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured meshes

Mikhail Shashkov1 , Patrick Knupp2

1 Group T-7, Los Alamos National Laboratory,Los Alamos, NM 87544, USA;
   email: misha@t7.lanl.gov

2 Sandia National Laboratory, New Mexico PO Box 5800, Albuquerque,NM 87185, USA;
   email: pknupp@sandia.gov

Received: May 6, 2002
 

Summary
The  objective  of  the  Arbitrary  Lagrangian-Eulerian (ALE) methodology for solving multidimensional fluid flow problems 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 generation 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.

 

Key words
ALE, rezoning, optimization, reference Jacobian, condition number
 

Mathematics Subject Classification (1991): 49K35, 65K10, 76M25
 

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