Entropy-stable and energy-conservative fully-discrete finite element method for non-isothermal phase-field models
This work provides an incremental numerical method for accurately simulating complex non-isothermal phase-field systems, which is important for researchers in computational fluid dynamics and materials science.
This paper introduces a conforming finite-element scheme for non-isothermal phase-field systems coupled with incompressible Navier-Stokes equations. The scheme exactly preserves entropy production and total energy conservation by using entropy as the main variable instead of temperature.
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.