Yuan, DeanJenkins, Karl W.Tsoutsanis, Panagiotis2024-05-312024-05-312024-04-28Yuan 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. 522-5401061-8562https://doi.org/10.1080/10618562.2024.2329775https://dspace.lib.cranfield.ac.uk/handle/1826/21748Implicit 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.en-UKAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Discontinuous Galerkinturbulenceunder-resolvedadaptive filteringTaylor-Green vortexmodal DGArticle