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Titlebook: Efficient High-Order Discretizations for Computational Fluid Dynamics; Martin Kronbichler,Per-Olof Persson Book 2021 CISM International Ce

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The Discontinuous Galerkin Method: Derivation and Properties,iemann solvers for the information exchange between the elements. The concepts are explained by the example of linear transport and convergence is evaluated in one, two, and three space dimensions. Finally, the construction of schemes for second derivatives is explained and detailed for the symmetri
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High-Order Methods for Simulations in Engineering,ical and modeling parameters. It shows that in many cases key physical and modeling parameters such as viscosities, boundary conditions, geometry, and even basic physics are not known to within 1%. This raises the question as to whether any numerical method needs to be of even higher quality than a
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High-Performance Implementation of Discontinuous Galerkin Methods with Application in Fluid Flow,nd limitations of discontinuous Galerkin discretizations. The chapter closes with a presentation of how to apply these algorithms to the compressible Euler equations, the acoustic wave equation, and the incompressible Navier–Stokes equations.
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https://doi.org/10.1007/978-3-658-12765-7ter presents the application of a .-multigrid high-order accurate discontinuous finite element method to the numerical solution of compressible laminar viscous flows (compressible Navier–Stokes equations) and to compressible turbulent flows modeled with the Reynolds-Averaged Navier–Stokes equations coupled with the .-. turbulence model.
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-Multigrid High-Order Discontinuous Galerkin Solution of Compressible Flows,ter presents the application of a .-multigrid high-order accurate discontinuous finite element method to the numerical solution of compressible laminar viscous flows (compressible Navier–Stokes equations) and to compressible turbulent flows modeled with the Reynolds-Averaged Navier–Stokes equations coupled with the .-. turbulence model.
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