From the 1 of 5 linked papers with an AI index.
5 papers
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…
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
Marco Artiano, Hendrik Ranocha, Saurav Samantaray
We consider the compressible Euler system with anelastic scaling, modeling isentropic flows under the influence of gravity. In the zero-Mach-number limit, the solution of the compr…
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
Marco Artiano, Hendrik Ranocha
Many entropy-conservative and entropy-stable (summarized as entropy-preserving) methods for hyperbolic conservation laws rely on Tadmor's theory for two-point entropy-preserving nu…
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…
Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows
Marco Artiano, Oswald Knoth, Peter Spichtinger +1
We develop structure-preserving numerical methods for the compressible Euler equations, employing potential temperature as a prognostic variable. We construct three numerical fluxe…