A linear stability analysis of the cell-wise relaxation implicit discontinuous Galerkin method for wave propagation

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Abstract

A linear stability analysis of the cell-wise relaxation implicit discontinuous Galerkin method proposed in our previous work was carried out for a scalar advection equation using three different generating patterns of triangular cells in two-dimensional space. A detailed mathematical formulation of the stability analysis is presented in this paper. It is shown that the present cell-wise implicit method with spatial accuracies up to fourth order is stable with very large Courant-Friedrichs-Lewy (CFL) numbers.

Original languageEnglish
Article number041402
JournalFluid Dynamics Research
Volume43
Issue number4
DOIs
Publication statusPublished - 2011 Aug 1

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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