Conservativity and Weak Consistency of a Class of Staggered Finite Volume Methods for the Euler Equations

24 Jun 2020 Herbin R. I2M Latché J. -C. IRSN Minjeaud S. Therme N.

We address a class of schemes for the Euler equations with the following features: the space discretization is staggered, possible upwinding is performed with respect to the material velocity only and the internal energy balance is solved, with a correction term designed on consistency arguments. These schemes have been shown in previous works to preserve the convex of admissible states and have been extensively tested numerically... (read more)

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  • NUMERICAL ANALYSIS
  • NUMERICAL ANALYSIS
  • GEOMETRIC TOPOLOGY