An entropy stable finite volume method for a compressible two phase model

0573342 - MÚ 2024 RIV CZ eng J - Článek v odborném periodiku
Feireisl, Eduard - Petcu, M. - She, Bangwei
An entropy stable finite volume method for a compressible two phase model.
Applications of Mathematics. Roč. 68, č. 4 (2023), s. 467-483. ISSN 0862-7940. E-ISSN 1572-9109
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier-Stokes-Allen-Cahn * finite volume method * entropy stability
Obor OECD: Pure mathematics
Impakt faktor: 0.7, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.21136/AM.2023.0041-22

We study a binary mixture of compressible viscous fluids modelled by the Navier-Stokes-Allen-Cahn system with isentropic or ideal gas law. We propose a finite volume method for the approximation of the system based on upwinding and artificial diffusion approaches. We prove the entropy stability of the numerical method and present several numerical experiments to support the theory.
Trvalý link: https://hdl.handle.net/11104/0343805