High-Order Methods for Computational Physics

✍ Scribed by Rémi Abgrall, Thomas Sonar, Oliver Friedrich (auth.), Timothy J. Barth, Herman Deconinck (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1999
• Tongue: English
• Leaves: 593
• Series: Lecture Notes in Computational Science and Engineering 9
• Edition: 1
• Category: Library

✦ Synopsis

This book considers recent developments in very high-order accurate numerical discretization techniques for partial differential equations. Primary attention is given to the equations of computational fluid dynamics with additional consideration given to the Hamilton-Jacobi, Helmholtz, and elasticity equations. This book should be of particular relevance to those readers with an interest in numerical discretization techniques which generalize to very high-order accuracy. The volume consists of five articles prepared by leading specialists covering the following specific topics: high-order finite volume discretization via essentially non-oscillatory (ENO) and weighted essentially oscillatory (WENO) reconstruction, the discontinuous Galerkin method, the Galerkin least-squares method, spectral and $hp$-finite element methods, and the mortar finite element method. Implementational and efficiency issues associated with each method are discussed throughout the book.

✦ Table of Contents

Front Matter....Pages I-VII
High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes....Pages 1-67
Discontinuous Galerkin Methods for Convection-Dominated Problems....Pages 69-224
Adaptive Spectral Element Methods for Turbulence and Transition....Pages 225-324
hp -FEM for Fluid Flow Simulation....Pages 325-438
High Order ENO and WENO Schemes for Computational Fluid Dynamics....Pages 439-582
Back Matter....Pages 583-587

✦ Subjects

Computational Mathematics and Numerical Analysis;Mathematical Methods in Physics;Numerical and Computational Physics;Computational Intelligence;Complexity