Structure-preserving approximation for the non-isothermal Cahn-Hilliard-Navier-Stokes system
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2024
- DOI:
- arXiv:
- arXiv:2402.00147
- Bibcode:
- 2024arXiv240200147B
- Keywords:
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- Mathematics - Numerical Analysis;
- Mathematics - Analysis of PDEs
- E-Print:
- 10 pages