A locally p-adaptive approach for Large Eddy Simulation of compressible flows in a DG framework

TL;DR

This paper introduces a local p-adaptive method within a high-order DG framework to reduce computational costs in Large Eddy Simulations of compressible flows, demonstrating significant efficiency gains.

Contribution

A novel degree adaptation technique tailored for LES in a DG framework, improving computational efficiency over existing criteria.

Findings

Significant reduction in computational cost for LES simulations

Effective local polynomial degree adaptivity for compressible flows

Comparison shows improved efficiency over traditional methods

Abstract

We investigate the possibility of reducing the computational burden of LES models by employing local polynomial degree adaptivity in the framework of a high order DG method. A novel degree adaptation technique especially featured to be effective for LES applications is proposed and its effectiveness is compared to that of other criteria already employed in the literature. The resulting locally adaptive approach allows to achieve significant reductions in computational cost of representative LES computations.