4 papers
Slip Wall Boundary Conditions in Curved Domains for Finite Element ALE Hydrodynamics
Nabil Atallah, Kevin Sweet, Paul Moujaes +3
We present a high-order finite element arbitrary Lagrangian-Eulerian (ALE) method for hydrodynamics with slip-wall boundary conditions on analytically curved domains. The method co…
Realizability-preserving finite element discretizations of the model for dose calculation in proton therapy
Paul Moujaes, Dmitri Kuzmin, Christian Bäumer
We present a deterministic framework for proton therapy dose calculation based on finite element discretizations of the energy-dependent moment model. The nonlinear sys…
Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer
Paul Moujaes, Dmitri Kuzmin, Christian Bäumer
We discretize the model of radiative transfer using continuous finite elements and propose a tailor-made monolithic convex limiting (MCL) procedure for enforcing physical rea…
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations
Paul Moujaes, Dmitri Kuzmin
In this work, we use the monolithic convex limiting (MCL) methodology to enforce relevant inequality constraints in implicit finite element discretizations of the compressible Eule…