A MASSIVELY PARALLEL EULERIAN-LAGRANGIAN METHOD FOR ADVECTION-DOMINATED TRANSPORT IN VISCOUS FLUIDS

Kohl N, Mohr M, Eibl S, Rüde U (2022)

Publication Type: Journal article

Publication year: 2022

Journal

SIAM Journal on Scientific Computing Society for Industrial and Applied Mathematics

Book Volume: 44

Pages Range: C260-C285

Journal Issue: 3

DOI: 10.1137/21M1402510

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 × 1010 (52 billion) degrees of freedom per time-step.

Authors with CRIS profile

Nils Kohl Lehrstuhl für Informatik 10 (Systemsimulation) Sebastian Eibl Lehrstuhl für Informatik 10 (Systemsimulation) Ulrich Rüde Lehrstuhl für Informatik 10 (Systemsimulation)

Involved external institutions

Ludwig-Maximilians-Universität (LMU) DE Germany (DE)

How to cite

APA:

Kohl, N., Mohr, M., Eibl, S., & Rüde, U. (2022). A MASSIVELY PARALLEL EULERIAN-LAGRANGIAN METHOD FOR ADVECTION-DOMINATED TRANSPORT IN VISCOUS FLUIDS. SIAM Journal on Scientific Computing, 44(3), C260-C285. https://dx.doi.org/10.1137/21M1402510

MLA:

Kohl, Nils, et al. "A MASSIVELY PARALLEL EULERIAN-LAGRANGIAN METHOD FOR ADVECTION-DOMINATED TRANSPORT IN VISCOUS FLUIDS." SIAM Journal on Scientific Computing 44.3 (2022): C260-C285.

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