Ebook: High-Order Methods for Computational Physics
- Tags: Computational Mathematics and Numerical Analysis, Mathematical Methods in Physics, Numerical and Computational Physics, Computational Intelligence, Complexity
- Series: Lecture Notes in Computational Science and Engineering 9
- Year: 1999
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
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
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.
Content:
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
....