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arXiv · 2402.00147

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

Aaron Brunk·Dennis Schumann
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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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Aaron Brunk, Dennis Schumann. 2024-06-27. Structure-preserving approximation for the non-isothermal Cahn-Hilliard-Navier-Stokes system. https://arxiv.org/abs/2402.00147

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