Noureddine Hannoun, Vasilios Alexiades
Abstract:
Physical phenomena often involve discontinuities and/or localized
high-gradient areas. The numerical simulation of these problems and
conventional techniques (Finite Elements, Finite Volumes, Finite
Differences, and Spectral Methods) with a uniform grid is inefficient
when high accuracy is required. Adaptive Mesh Refinement (AMR) is a
technique that allows local refinement of the grid. In this
presentation, we describe a typical AMR technique and address
implementation and algorithmic issues. Triangular unstructured grids
and a regular 1 to 4 refinement are considered.
Published February 28, 2007.
Math Subject Classifications: 68U99, 65M50, 65Y20.
Key Words: Adaptive mesh refinement; data structure; computational method;
object oriented programming; conservation laws.
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Noureddine Hannoun Department of Mathematics University of Tennessee Knoxville, TN 37996-1300, USA email: hannoun@math.utk.edu |
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Vasilios Alexiades Department of Mathematics University of Tennessee, Knoxville, TN 37996, USA. and Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA. email: alexiades@utk.edu |
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