From the 3 of 31 linked papers with an AI index.
31 papers
Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws
Hendrik Ranocha
The paper extends convergence analysis for entropy-conservative summation-by-parts (SBP) discretizations to general hyperbolic systems with convex entropy and source terms, and to…
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…
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner +3
The Active Flux method is a numerical method for conservation laws using a combination of cell averages and point values as independent degrees of freedom, based on ideas from fini…
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…
Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation
Jan Giesselmann, Fabio Leotta, Hendrik Ranocha +1
We study a hyperbolic approximation ("hyperbolization") of the Cahn-Hilliard (CH) equation, originally proposed by Dhaouadi, Dumbser, and Gavrilyuk (2025, DOI: 10.1098/rspa.2024.06…