Efficient Large Eddy Simulation for the Discontinuous Galerkin Method

TL;DR

This paper introduces an efficient Large Eddy Simulation technique integrated with the Discontinuous Galerkin method on unstructured meshes, addressing computational complexity and validated through standard turbulence tests.

Contribution

It presents a novel implementation approach for LES with DG methods that reduces computational costs on unstructured meshes.

Findings

The method effectively simulates turbulence in the backward-facing step problem.

Implementation within Fluidity demonstrates practical applicability.

Results align with established turbulence simulation benchmarks.

Abstract

In this paper we present a new technique for efficiently implementing Large Eddy Simulation with the Discontin- uous Galerkin method on unstructured meshes. In particular, we will focus upon the approach to overcome the computational complexity that the additional degrees of freedom in Discontinuous Galerkin methods entail. The turbulence algorithms have been implemented within Fluidity, an open-source computational fluid dynamics solver. The model is tested with the well known backward-facing step problem, and is shown to concur with published results.