High-Order Methods for Computational Physics (eBook, PDF)

Redaktion: Barth, Timothy J.; Deconinck, Herman

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 587
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9783662038826
• Artikelnr.: 53388275

Inhaltsangabe

High Order Approximations for Compressible Fluid Dynamics on Un structured and Cartesian Meshes.- Discontinuous Galerkin Methods for Convection-Dominated Problems.- Adaptive Spectral Element Methods for Turbulence and Transition.- hp-FEM for Fluid Flow Simulation.- High Order ENO and WENO Schemes for Computational Fluid Dynamics.