Numerical investigation of the inviscid Taylor-Green Vortex using an adaptive filtering method for a modal Discontinuous Galerkin method
| dc.contributor.author | Yuan, Dean | |
| dc.contributor.author | Jenkins, Karl W. | |
| dc.contributor.author | Tsoutsanis, Panagiotis | |
| dc.date.accessioned | 2024-05-31T14:30:44Z | |
| dc.date.available | 2024-05-31T14:30:44Z | |
| dc.date.issued | 2024-04-28 | |
| dc.description.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. | en_UK |
| dc.description.sponsorship | 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. | en_UK |
| dc.identifier.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 | en_UK |
| dc.identifier.issn | 1061-8562 | |
| dc.identifier.uri | https://doi.org/10.1080/10618562.2024.2329775 | |
| dc.identifier.uri | https://dspace.lib.cranfield.ac.uk/handle/1826/21748 | |
| dc.language.iso | en_UK | en_UK |
| dc.publisher | Taylor and Francis | en_UK |
| dc.rights | Attribution 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Discontinuous Galerkin | en_UK |
| dc.subject | turbulence | en_UK |
| dc.subject | under-resolved | en_UK |
| dc.subject | adaptive filtering | en_UK |
| dc.subject | Taylor-Green vortex | en_UK |
| dc.subject | modal DG | en_UK |
| dc.title | Numerical investigation of the inviscid Taylor-Green Vortex using an adaptive filtering method for a modal Discontinuous Galerkin method | en_UK |
| dc.type | Article | en_UK |
| dcterms.dateAccepted | 2024-03-07 |