12 papers
Surface-tension calibration for N-phase mixtures
M. F. P. ten Eikelder, A. Brunk
Diffuse-interface (phase-field) models are a widely used framework for interfacial dynamics in complex fluids, in which sharp interfaces are replaced by smooth transition layers an…
Symmetric structure-preserving discretization of N-phase incompressible fluid mixtures with arbitrary density ratios
M. F. P. ten Eikelder, A. Brunk
Diffuse-interface models are a widely used framework for interfacial dynamics in complex fluids, in which interfaces are represented through smooth transition layers and capillary…
High-order conforming finite elements for the Cahn-Hilliard equation: Relative-energy stability and energy defects
Aaron Brunk, Marvin Fritz
We study a semidiscrete single-field Galerkin approximation of the Cahn-Hilliard equation using high-order conforming finite element spaces. More specifically, globally finit…
Entropy-stable and energy-conservative fully-discrete finite element method for non-isothermal phase-field models
Aaron Brunk, Dennis Höhn
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 pr…
Structure-preserving approximation for non-isothermal phase-field models in melt flow
Aaron Brunk, Dennis Höhn
This work presents a conforming finite-element scheme for the non-isothermal Allen-Cahn-Navier-Stokes system, incorporating periodic, closed, and thermal boundary conditions. The s…
Phase-field investigation of non-isothermal solidification coupled with melt flow dynamics
Timileyin David Oyedeji, Aaron Brunk, Yangyiwei Yang +3
Solidification, coupled with melt flow, plays a critical role in determining the microstructure and properties of materials in several manufacturing processes. Phase-field models c…