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[02384] An Energy Stable Semi-implicit Scheme for the Euler System under Diffusive Scaling

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G601
  • Type : Contributed Talk
  • Abstract : An asymptotic preserving (AP) and energy stable scheme for the barotropic Euler system under a diffusive scaling is designed and analysed. A semi-implicit upwind finite volume on a staggered grid which dissipates the mechanical energy is introduced. The proposed scheme preserves the positivity of density and is consistent with weak solutions. The results of extensive case studies are presented to substantiate the robustness and efficacy of the proposed scheme as well as the theoretical claims.
  • Classification : 35L45, 35L65, 35L67, 35L60
  • Format : Talk at Waseda University
  • Author(s) :
    • Arun Koottungal Revi (Indian Institute of Science Education and Research Thiruvananthapuram)
    • Mainak Kar (Indian Institute of Science Education and Research Thiruvananthapuram)