"High-Order Methods for Computational Physics" ed. by Timothy J. Barth, Herman Deconinck
Lecture Notes in Computational Science and Engineering, Volume 9
Springer | 1999 | ISBN: 3540658939 9783662038840 9783662038826 9783540658931 | 594 pages | PDF | 16 MB
Lecture Notes in Computational Science and Engineering, Volume 9
Springer | 1999 | ISBN: 3540658939 9783662038840 9783662038826 9783540658931 | 594 pages | PDF | 16 MB
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 covers 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.
Table of Contents
High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes
Discontinuous Galerkin Methods for Convention-Dominated Problems
Adaptive Spectral Element Methods for Turbulence and Transition
hp-FEM for Fluid Flow Simulation 3
High Order ENO and WENO Schemes for Computational Fluid Dynamics
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