Greedy invariant-domain preserving approximation for hyperbolic systems Institutional Repository Document uri icon

abstract

  • The paper focuses on invariant-domain preserving approximations of hyperbolic systems. We propose a new way to estimate the artificial viscosity that has to be added to make explicit, conservative, consistent numerical methods invariant-domain preserving and entropy inequality compliant. Instead of computing an upper bound on the maximum wave speed in Riemann problems, we estimate a minimum wave speed in the said Riemann problems such that the approximation satisfies predefined invariant-domain properties and predefined entropy inequalities. This technique eliminates non-essential fast waves from the construction of the artificial viscosity, while preserving pre-assigned invariant-domain properties and entropy inequalities.

author list (cited authors)

  • Guermond, J., Maier, M., Popov, B., Saavedra, L., & Tomas, I.

complete list of authors

  • Guermond, Jean-Luc||Maier, Matthias||Popov, Bojan||Saavedra, Laura||Tomas, Ignacio

publication date

  • October 2023