Structure-preserving approximation for the non-isothermal Cahn-Hilliard-Navier-Stokes system

2024/01/31 by Brunk, Aaron, Schumann, Dennis
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2402.00147

Abstract

In this work we propose and analyse a structure-preserving approximation of the non-isothermal Cahn-Hilliard-Navier-Stokes system using conforming finite elements in space and implicit time discretisation with convex-concave splitting. The system is first reformulated into a variational form which reveal the structure of the equations, which is then used in the subsequent approximation.

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