Hybrid Large Eddy Simulation for low-order Discontinuous Galerkin methods using an explicit filter

A. C. W. Creech*, A. Jackson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper we present a simple, easily implemented and effective approach for explicitly-filtered Large Eddy Simulation with a Discontinuous Galerkin (DG) discretisation for velocity. DG formulations are often desirable due to their stability and increased accuracy, however this can come at greater computational expense due to the additional degrees of freedom in the velocity field. Additionally, data output can also be an issue, due to the increased storage requirements. Here we present a hybrid approach, based upon the construction of an approximation of the velocity shear tensor using information from a projected Continuous Galerkin (CG) version of the discontinuous velocity field. The resulting turbulence algorithm is implemented within Fluidity, an open-source computational fluid dynamics solver. The model is then validated with a well known test case, and shown to agree favourably with published results. Comparisons are also made between the CG/DG hybrid LES with DG-only LES, which demonstrate the superior computational performance of the hybrid model.

Original languageEnglish
Article number107730
JournalComputer Physics Communications
Publication statusPublished - Mar 2021


  • Discontinuous Galerkin
  • Large Eddy Simulation
  • Turbulence

ASJC Scopus subject areas

  • Hardware and Architecture
  • General Physics and Astronomy


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