9 papers
Multi-Solver Coupling for Parallel Adaptive Multi-Physics Simulations with Trixijl and dealII
Vivienne Ehlert, Gregor Gassner, Martin Kronbichler +2
The paper introduces a portable cross-language framework for coupling parallel adaptive solvers using Trixi.jl and deal.II, and demonstrates its use on a strongly‑coupled Newtonian…
Massively parallel numerical simulations with Julia
Simon Candelaresi, Benedict Geihe, Marco Artiano +6
The paper evaluates how the Julia programming language performs for large-scale, parallel computational fluid dynamics simulations, comparing it to a Fortran implementation and dem…
Adaptive Multiphysics Coupling for Hyperbolic Systems
Simon Candelaresi, Erik Faulhaber, Michael Schlottke-Lakemper
For the discontinuous Galerkin code Trixijl we implement capabilities for adaptively coupling arbitrarily many domains with different physics. The coupling of the systems is rea…
Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations
Arpit Babbar, Valentin Churavy, Michael Schlottke-Lakemper +1
Lax-Wendroff methods combined with discontinuous Galerkin/flux reconstruction spatial discretization provide a high-order, single-stage, quadrature-free method for solving hyperbol…
Volume Term Adaptivity for Discontinuous Galerkin Schemes
Daniel Doehring, Jesse Chan, Hendrik Ranocha +3
We introduce the concept of volume term adaptivity for high-order discontinuous Galerkin (DG) schemes solving time-dependent partial differential equations. Termed v-adaptivity, we…
Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes
Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper +2
Jin-Xin relaxation is a method for approximating non-linear hyperbolic conservation laws by a linear system of hyperbolic equations with an dependent stiff source ter…