Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation

  • Authors:

  • Jan Nordströ/m

  • Affiliations:

  • The Swedish Defence Research Agency, Division of Systems Technology, Computational Physics Department/ and the Department of Scientific Computing, Information Technology, Uppsala University, Uppsa ...

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2006

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Abstract

Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained. Both conservative and non-conservative approximations are considered. The dissipation terms are computed such that there is no loss of accuracy