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A Parallel Cell-By-Cell Amr Method For The Ppm Hydrodynamics Code

Author

Listed:
  • DENNIS C. DINGE

    (Department of Chemistry and Physics, Coastal Carolina University, P. O. Box 261954 Conway, SC 29528, USA)

  • PAUL R. WOODWARD

    (Laboratory for Computational Science and Engineering (LCSE), University of Minnesota/LCSE, 356 Physics, 116 Church Street SE, Minneapolis, MN 55455, USA)

Abstract

The Piecewise Parabolic Method (PPM) hydrodynamics code and other codes based on the PPM technique have been used extensively for the simulation of astrophysical phenomena. A new version of the PPM hydrodynamics code under development at the Laboratory for Computational Science and Engineering (LCSE) at the University of Minnesota is described. This new code incorporates a version of dynamic local adaptive mesh refinement (AMR) targeted specifically at improving the treatment of shocks and contact discontinuities. This AMR technique is not intended to increase grid resolution in entire regions of the problem for which standard techniques of nonuniform grids and simple grid motion are adequate. Because the AMR is targeted at surfaces within a flow that can develop complex shapes, a cell-by-cell approach to the grid refinement is adopted in order to minimize the number of refined grid cells, with the hope of controlling the computational cost. As a result of this approach, the number of refined cells needed across a given shock or captured contact discontinuity is modest (

Suggested Citation

  • Dennis C. Dinge & Paul R. Woodward, 2003. "A Parallel Cell-By-Cell Amr Method For The Ppm Hydrodynamics Code," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 857-880.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:07:n:s0129183103005029
    DOI: 10.1142/S0129183103005029
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