Titlebook: High Order Nonlinear Numerical Schemes for Evolutionary PDEs; Proceedings of the E Rémi Abgrall,Héloïse Beaugendre,Mario Ricchiuto Conferen

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High Order Nonlinear Numerical Schemes for Evolutionary PDEsProceedings of the E

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A Hybrid Finite Difference-WENO Scheme for Large Eddy Simulation of Compressible Flows,nterfaces separating two gases is desired. We are interested in flows that contain both turbulence and shock waves, and that are characterized by a high Reynolds number. Current computational power does not allow direct numerical simulation of these flows and then only a large eddy simulation (LES)

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Finite Volume Formulation of a Third-Order Residual-Based Compact Scheme for Unsteady Flow Computatssible governing equations of gas dynamics on general structured meshes. The scheme makes use of weighted approximations that allow to ensure high accuracy while taking benefit from the structured nature of the grid. The stability properties of the proposed spatial approximation are discussed. Numer

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Parallel Implementation of ,-Exact Finite Volume Reconstruction on Unstructured Grids,s. A new algorithm for the calculation of the approximants is discussed. The main geometric property of the procedure is that the direct neighborhood only is needed. This allows for an efficient parallel implementation.

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High-Order Discontinuous Galerkin Solution of Unsteady Flows by Using an Advanced Implicit Method,ion Formulae (BDF). This new class of formulae, called Two Implicit Advanced Step-point (TIAS), has been applied to a high-order Discontinuous Galerkin (DG) discretization of the Navier-Stokes equations, coupling the high temporal accuracy gained by the TIAS scheme with the high space accuracy of th