An efficient linearity-and-bound-preserving remapping method

  • Authors:

  • Milan Kucharik;Mikhail Shashkov;Burton Wendroff

  • Affiliations:

  • Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Brehová 7, 115 19 Prague 1, Czech Republic;Theoretical Divison, T-7, Los Alamos National Laboratory, MS-B284, Los Alamos, NM;Theoretical Divison, T-7, Los Alamos National Laboratory, MS-B284, Los Alamos, NM

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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Abstract

In this paper we describe an efficient, local-bound-preserving conservative interpolation (remapping) algorithm, which is exact for a global linear function (linearity-preserving). The algorithm is based on reconstruction, approximate integration and mass re-distribution. We demonstrate our new algorithm on a series of numerical examples.