A large eddy simulation method for DGSEM using non-linearly optimized relaxation filters

Abstract

In this paper, we apply a specifically designed dissipative spatial filter as sub-grid scale model within the increasingly popular discontinuous Galerkin methods and the closely related flux reconstruction high order methods for large eddy simulation. The parameters of the filter kernel are optimized with data obtained from direct numerical simulation, that is filtered and used as a ground truth to fit the overall kinetic energy and dissipation rate over time. The optimization is carried out for polynomial degree 3 to 10. The optimal kernels are rigorously tested in the limit of infinite Reynolds number flows (HIT and Taylor Green Vortex flow). Additionally, a brief extension to plane turbulent channel flow is given. Besides the overall good performance, the method is especially attractive in combination with wall modeled LES, because it avoids the computation of second order derivatives for very high Reynolds number flows.

References in corpus (3)

• Split Form Nodal Discontinuous Galerkin Schemes with Summation-By-Parts Property for the Compressible Euler Equations
• On the use of kinetic energy preserving DG-schemes for large eddy simulation
• On the role of numerical dissipation in stabilising under-resolved turbulent simulations using discontinuous Galerkin methods

Cited by in corpus (2)

• Toward Discretization-Consistent Closure Schemes for Large Eddy Simulation Using Reinforcement Learning
• A Time-Accurate Inflow Coupling for Zonal LES