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Entropy-stable and energy-conservative fully-discrete finite element method for non-isothermal phase-field models

arXiv CS Monday 01 June 2026, 04:00 UTC By Aaron Brunk, Dennis H\"ohn 1 min read
Key Points

Announce Type: new Abstract: This work presents a conforming finite-element scheme for non-isothermal phase-field systems coupled to the incompressible Navier-Stokes equations. The proposed numerical scheme preserves entropy production and total energy conservation exactly by variable transformations using entropy as main variable instead of temperature.

arXiv:2605.30559v1 Announce Type: new Abstract: This work presents a conforming finite-element scheme for non-isothermal phase-field systems coupled to the incompressible Navier-Stokes equations. The proposed numerical scheme preserves entropy production and total energy conservation exactly by variable transformations using entropy as main variable instead of temperature. Convergence tests in space are conducted, and representative examples are provided to demonstrate the scheme's effectiveness.
Originally published by arXiv CS Read original →

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