Work

A conservative two-phase flow model with a nonlinear degenerate diffusion

Year: 2025

Type: article

Abstract: This paper is motivated by the need to model the dynamics of liquid–vapor flows involving phase transitions in heat exchangers. In the low Mach number asymptotic limit, we derive a system of 1D conservation laws with heat transfers causing phase change, with a degenerate and nonlinear thermal diffusion coefficient. This degeneracy induces discontinuities on the solution, both on the enthalpy and the velocity. We provide explicit steady and travelling wave solutions, and derive suitable numerical schemes able to capture the moving discontinuities.

Source: Mathematical Modelling of Natural Phenomena

DOI: 10.1051/mmnp/2025031

Authors: Gloria Faccanoni, Cédric Galusinski, Bérénice Grec

Institutions: Université de Toulon, Institut de Mathématiques de Toulon, Centre National de la Recherche Scientifique, Université Paris Cité, Mathématiques Appliquées à Paris 5

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: