5 papers
A thermodynamically consistent framework for finite growth of multi-constituent mixtures with application to tumor growth
Jonathan Stollberg, Marco F. P. ten Eikelder, Dominik Schillinger
Biological tissues grow by continuously producing, transporting, and reorganizing multiple interacting constituents. These processes are intrinsically coupled to finite deformation…
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…
An entropy-stable and kinetic energy-preserving macro-element HDG method for compressible flows
Vahid Badrkhani, Marco F. P. ten Eikelder, Dominik Schillinger
This paper introduces a high order numerical framework for efficient and robust simulation of compressible flows. To address the inefficiencies of standard hybridized discontinuous…
A unified framework for N-phase Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with non-matching densities
M. F. P. ten Eikelder
Over the past few decades, numerous N-phase incompressible diffuse-interface flow models with non-matching densities have been proposed. Despite aiming to describe the same physics…