Dynamical p-adaptivity for LES of compressible flows in a high order DG framework

TL;DR

This paper presents a dynamically adaptive polynomial degree method within a high order DG framework to reduce LES computational costs for compressible flows, maintaining accuracy while improving efficiency.

Contribution

The authors introduce a novel dynamically adaptive degree adaptation technique for LES in high order DG methods, previously tested in static cases, now applied dynamically.

Findings

Significant reduction in computational cost for LES simulations.

Maintained accuracy comparable to constant high-degree methods.

Validated on benchmark compressible flow problems.

Abstract

We investigate the possibility of reducing the computational burden of LES models by employing locally and dynamically adaptive polynomial degrees in the framework of a high order DG method. A degree adaptation technique especially featured to be effective for LES applications, that was previously developed by the authors and tested in the statically adaptive case, is applied here in a dynamically adaptive fashion. Two significant benchmarks are considered, comparing the results of adaptive and non adaptive simulations. The proposed dynamically adaptive approach allows for a significant reduction of the computational cost of representative LES computation, while allowing to maintain the level of accuracy guaranteed by LES carried out with constant, maximum polynomial degree values.