High Order Nonlinear Numerical Schemes for Evolutionary PDEs: Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013 (Lecture ... Science and Engineering Book 99)

This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013. The central topic is high order methods for compressible fluid dynamics. In the workshop, and in this proceedings, greater emphasis is placed on the numerical than the theoretical aspects of this scientific field. The range of topics is broad, extending through algorithm design, accuracy, large scale computing, complex geometries, discontinuous Galerkin, finite element methods, Lagrangian hydrodynamics, finite difference methods and applications and uncertainty quantification. These techniques find practical applications in such fields as fluid mechanics, magnetohydrodynamics, nonlinear solid mechanics, and others for which genuinely nonlinear methods are needed. Front Matter....Pages i-xi High–Order Asymptotic–Preserving Methods for Nonlinear Relaxation from Hyperbolic Systems to Convection–Diffusion Equations....Pages 1-13 A Hybrid Finite Difference-WENO Scheme for Large Eddy Simulation of Compressible Flows....Pages 15-36 Finite Volume Formulation of a Third-Order Residual-Based Compact Scheme for Unsteady Flow Computations....Pages 37-58 Parallel Implementation of k -Exact Finite Volume Reconstruction on Unstructured Grids....Pages 59-75 3D Application of Higher Order Multigrid Algorithms for a RANS- kω DG-Solver....Pages 77-88 Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions....Pages 89-107 High Order SFV and Mixed SDG/FV Methods for the Uncertainty Quantification in Multidimensional Conservation Laws....Pages 109-133 High-Order Discontinuous Galerkin Solution of Unsteady Flows by Using an Advanced Implicit Method....Pages 135-149 Detecting Edges in High Order Methods for Hyperbolic Conservation Laws....Pages 151-167 A Comparison of Analytical Solutions of a High-Order RBC Scheme and Its Equivalent Differential Equation for a Steady Shock Problem....Pages 169-183 Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems....Pages 185-208 Back Matter....Pages 209-215