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An accuracy study of mesh refinement on mapped grids

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Adaptive Mesh Refinement - Theory and Applications

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 41))

Summary

We test a high-resolution wave-propagation algorithm for hyperbolic conservation laws on mapped quadrilateral and hexahedral grids in the context of adaptive mesh refinement. We discuss some of the issues related to using non-Cartesian grids with AMR and study a test problem in which a grid refinement interface is fixed in space on a highly skewed portion of a mapped grid. Smooth and shock-wave solutions to the Euler equations are used to investigate the possibility that spurious reflections or other numerical errors might be generated at a grid interface.

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References

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Author information

Authors and Affiliations

  1. Dept. of Applied Mathematics, University of Washington, Seattle, WA, 98195, USA

    D. Calhoun & R. J. LeVeque

Authors
  1. D. Calhoun
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  2. R. J. LeVeque
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Editor information

Editors and Affiliations

  1. ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, 5640 S. Ellis Avenue, Chicago, IL, 60637, USA

    Tomasz Plewa , Timur Linde  & V. Gregory Weirs ,  & 

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© 2005 Springer-Verlag Berlin Heidelberg

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Calhoun, D., LeVeque, R.J. (2005). An accuracy study of mesh refinement on mapped grids. In: Plewa, T., Linde, T., Gregory Weirs, V. (eds) Adaptive Mesh Refinement - Theory and Applications. Lecture Notes in Computational Science and Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27039-6_6

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