DeepAI
Log In Sign Up

A massively parallel Eulerian-Lagrangian method for advection-dominated transport in viscous fluids

03/03/2021
by   Nils Kohl, et al.
0

Motivated by challenges in Earth 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, pure advection, and it is applied to a coupled non-linear 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 × 10^10 (52 billion) degrees of freedom per time-step.

READ FULL TEXT

page 11

page 13

page 18

12/23/2021

Multiphysics mixed finite element method with Nitsche's technique for Stokes poroelasticity problem

In this paper, we propose a multiphysics mixed finite element method wit...
11/20/2022

An integral-like numerical approach for solving Burgers' equation

An integral-like approach established on spline polynomial interpolation...
07/08/2019

A generic finite element framework on parallel tree-based adaptive meshes

In this work we formally derive and prove the correctness of the algorit...
07/01/2019

Low-memory, discrete ordinates, discontinuous Galerkin methods for radiative transport

The discrete ordinates discontinuous Galerkin (S_N-DG) method is a well-...
02/05/2021

A simple artificial damping method for total Lagrangian smoothed particle hydrodynamics

In this paper, we present a simple artificial damping method to enhance ...