Numerical investigation of the inviscid Taylor-Green Vortex using an adaptive filtering method for a modal Discontinuous Galerkin method

Date published

2024-04-28

Free to read from

Supervisor/s

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor and Francis

Department

Type

Article

ISSN

1061-8562

Format

Citation

Yuan D, Jenkins KW, Tsoutsanis P. (2023). Numerical investigation of the inviscid Taylor-Green Vortex using an adaptive filtering method for a modal Discontinuous Galerkin method. International Journal of Computational Fluid Dynamics, Volume 37, Issue 6, June 2024, pp. 522-540

Abstract

Implicit Large Eddy Simulation and under-resolved Direct Numerical Simulation bypass the complexity and uncertainty of turbulence modelling by using the numerical dissipation of the scheme as a subgrid scale model. High-order methods allow for more accurate capturing of smaller scale structures but suffer from energy pile-up in the higher modes which leads to instability in under-resolved applications. This work presents a filtered modal Discontinuous Galerkin method which adaptively determines the filter strength, avoiding unnecessary degradation of accuracy while maintaining stability. The method is applied to the inviscid Taylor-Green Vortex, a challenging test case which exhibits under-resolved turbulence for which few published results exist. This goal of this work is to present the adaptive filtering method which achieves robustness and accuracy despite a low number of degrees of freedom, as well as to publish a quantity of relevant data for the inviscid TGV problem.

Description

Software Description

Software Language

Github

Keywords

Discontinuous Galerkin, turbulence, under-resolved, adaptive filtering, Taylor-Green vortex, modal DG

DOI

Rights

Attribution 4.0 International

Relationships

Relationships

Supplements

Funder/s

The authors acknowledge the computing time on ARCHER2 through UK Turbulence Consortium EPSRC: grant number EP/X035484/1. P.T also acknowledges the support provided by the EPSRC grant for ‘Adaptively Tuned High-Order Unstructured Finite-Volume Methods for Turbulent Flows’ EPSRC grant number EP/W037092/1.