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math.NA2024
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a fully well-balanced Godunov-type finite volume scheme for the Euler equations with a gravitational potential based on an approximate R…
math.NA2024★ 1 cited
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
Christophe Berthon, Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a numerical scheme to approximate weak solutions of the Euler equations with a gravitational source term. The designed scheme is proved…