Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow

TL;DR

This paper introduces a parallelized relaxation solver for simulating sediment bedload transport in shallow water, enabling efficient 2D simulations that replicate observed dune and anti-dune phenomena.

Contribution

It presents a novel parallelization approach for a relaxation scheme applied to sediment transport modeling, improving computational efficiency for complex 2D cases.

Findings

Successfully simulated anti-dune processes in 1D and 2D

Achieved significant reduction in computation time with parallelization

Validated model results against experimental data

Abstract

In this work we are interested in numerical simulations for bedload erosion processes. We present a relaxation solver that we apply to moving dunes test cases in one and two dimensions. In particular we retrieve the so-called anti-dune process that is well described in the experiments. In order to be able to run 2D test cases with reasonable CPU time, we also describe and apply a parallelization procedure by using domain decomposition based on the classical MPI library.