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

0573342 - MÚ 2024 RIV CZ eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : compressible Navier-Stokes-Allen-Cahn * finite volume method * entropy stability
OECD category: Pure mathematics
Impact factor: 0.7, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0343805