2020/09/24 by Xaver Mooslechner, Mooslechner, Xaver
Chemical Engineering · Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #Computational Fluid Dynamics and Aerodynamics #FOS: Computer and information sciences #Finance #Rheology and Fluid Dynamics Studies #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2009.11504
openalex publication_date 2020/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This thesis deals with the investigation of a H(div)-conforming hybrid\ndiscontinuous Galerkin discretization for incompressible turbulent flows. The\ndiscretization method provides many physical and solving-oriented properties,\nwhich may be advantageous for resolving computationally intensive turbulent\nstructures. A standard continuous Galerkin discretization for the Navier-Stokes\nequations with the well-known Taylor-Hood elements is also introduced in order\nto provide a comparison. The four different main principles of simulating\nturbulent flows are explained: the Reynolds-averaged Navier-Stokes simulation,\nlarge eddy simulation, variational multiscale method and the direct numerical\nsimulation. The large eddy simulation and variational multiscale have shown\ngood promise in the computation of traditionally difficult turbulent cases.\nThis accuracy can be only surpassed by directly solving the Navier-Stokes\nequations, but comes with excessively high computational costs. The very common\nstrategy is the Reynolds-average approach, since it is the most cost-effective.\nThose modelling principles have been applied to the two discretization\ntechniques and validated through the basic plane channel flow test case. All\nnumerical tests have been conducted with the finite element library\nNetgen/NGSolve.\n