TU CE GSC CE People at the Graduate School CE Students Dario Klingenberg Research Project of Dario Klingenberg

High fidelity turbulence simulation based on new symmetry induced model equations using high order Discontinuous Galerkin schemes

The present project is embedded into the multi-rate and

multi-scale simulation and modeling activities of the Fluid Dynamics group (FDY)

under the umbrella of the research focus R1 within the GSC CE. It essentially con-

cerns the key objective to fundamentally revise the way we do turbulence simulation,

which is the prototype of a multi-rate and multi-scale problem. For this, two key

ideas will be employed: (i) Since the 1940s, symmetries have been the key ingredient

of turbulence models, i.e. both RANS (Reynolds averaged Navier-Stokes) and, more

recently, SGS (sub grid scale) models. These fundamental ideas are now to be used

explicitly for modeling, especially since new, previously unknown statistical sym-

metries for intermittency and non-gaussianity [Wacławczyk et al., 2014] have been

discovered, which are constitutive to turbulence. (ii) Turbulence simulation will be

based on the high order Discontinuous Galerkin (DG) code BoSSS (Bounded Support

Spectral Solver), which has the key advantage of minimizing both dispersion and

diffusion errors, which is a pre-requisite for high-fidelity turbulence simulations.

Fluid Dynamaics, Turbulence, Discontinuous Galerkin, Lie Symmetry Groups

M. Oberlack, Fluid Dynamics

Dario Klingenberg

M.Sc.

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