<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "A Spectral Discontinuous Galerkin method for incompressible flow\r\nwith Applications to turbulence"^^ . "In this thesis we develop a numerical solution method for the instationary incompressible\r\nNavier-Stokes equations. The approach is based on projection methods for discretization in time and a\r\nhigher order discontinuous Galerkin discretization in space. We propose an upwind scheme for the\r\nconvective term that chooses the direction of flux across cell interfaces by the mean value of the\r\nvelocity and has favorable properties in the context of DG. We present new variants of solenoidal\r\nprojection operators in the Helmholtz decomposition which are indeed discrete projection\r\noperators. The discretization is accomplished on quadrilateral or hexahedral meshes where\r\nsum-factorization in tensor product finite elements can be exploited. Sum-factorization\r\nsignificantly reduces algorithmic complexity during assembling. In this thesis we thereby build\r\nefficient scalable matrix-free solvers and preconditioners to tackle the arising subproblems in the\r\ndiscretization. Conservation properties of the numerical method are demonstrated for both problems\r\nwith exact solution and turbulent flows. Finally, the presented DG solver enables long time stable\r\ndirect numerical simulations of the Navier-Stokes equations. As an application we perform\r\ncomputations on a model of the atmospheric boundary layer and demonstrate the existence of surface\r\nrenewal."^^ . "2019" . . . . . . . "Stephan-Marian"^^ . "Piatkowski"^^ . "Stephan-Marian Piatkowski"^^ . . . . . . "A Spectral Discontinuous Galerkin method for incompressible flow\r\nwith Applications to turbulence (PDF)"^^ . . . "Piatkowski_Dissertation.pdf"^^ . . . "A Spectral Discontinuous Galerkin method for incompressible flow\r\nwith Applications to turbulence (Other)"^^ . . . . . . "indexcodes.txt"^^ . . "HTML Summary of #26674 \n\nA Spectral Discontinuous Galerkin method for incompressible flow \nwith Applications to turbulence\n\n" . "text/html" . . . "004 Informatik"@de . "004 Data processing Computer science"@en . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . . . "530 Physik"@de . "530 Physics"@en . .