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Selçuk Journal
of
Applied Mathematics
Winter-Spring,
2002
Volume 3
Number 1
Research Center
of
Applied Mathematics
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SJAM
Winter-Spring 2002, Volume 3 - Number 1
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Optimization-based reference-matrix
rezone strategies for arbitrary Lagrangian-Eulerian methods on
unstructured meshes |
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Mikhail Shashkov1 , Patrick
Knupp2 |
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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
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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. |
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Key
words
ALE, rezoning, optimization, reference Jacobian,
condition number
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Mathematics Subject Classification (1991):
49K35, 65K10, 76M25
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Article in PS format (725 Kb) |
Article in ZIP format (205 Kb) |
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