A Massively Parallel Eulerian-Lagranian Method for Adection-Dominated Transport in Viscous Fluids

Kohl, Nils; Mohr, Marcus; Eibl, Sebastian und Rude, Ulrich (2022): A Massively Parallel Eulerian-Lagranian Method for Adection-Dominated Transport in Viscous Fluids. In: SIAM Journal on Scientific Computing, Bd. 44, Nr. 3: C260-C285

Abstract

Motivated by challenges in the Earth's mantle convection, we present a massively parallel implementation of an Eulerian-Lagrangian method for the advection-diffusion equation in the advection-dominated regime. The advection term is treated by a particle-based characteristics method coupled to a block-structured finite element framework. Its numerical and computational performance is evaluated in multiple two- and three-dimensional benchmarks, including curved geometries, discontinuous solutions, and pure advection, and it is applied to a coupled nonlinear system modeling buoyancy-driven convection in Stokes flow. We demonstrate the parallel performance in a strong and weak scaling experiment, with scalability to up to 147,456 parallel processes, solving for more than 5.2 x 10(10) (52 billion) degrees of freedom per time-step.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Geowissenschaften > Department für Geo- und Umweltwissenschaften
• Themengebiete: 500 Naturwissenschaften und Mathematik > 550 Geowissenschaften, Geologie
• ISSN: 1064-8275
• Sprache: Englisch