Upwind and High-Resolution Schemes
Published on 23. September 2011
Book
Paperback/Softback
X, 588 pages
978-3-642-64452-8 (ISBN)
Description
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
More details
Edition
Softcover reprint of the original 1st ed. 1997
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 588 p.
Dimensions
Height: 242 mm
Width: 170 mm
Thickness: 33 mm
Weight
1019 gr
ISBN-13
978-3-642-64452-8 (9783642644528)
DOI
10.1007/978-3-642-60543-7
Schweitzer Classification
Other editions
Additional editions
M.Yousuff Hussaini | Bram Van Leer | John Van Rosendale
Upwind and High-Resolution Schemes
Book
04/1997
Springer
€85.55
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Content
ICASE and the History of High-Resolution Schemes.- ICASE and the History of High-Resolution Schemes.- A Brief Introduction to High-Resolution Schemes.- A Brief Introduction to High-Resolution Schemes.- I. Riemann Solvers and Upwind Schemes.- Annotation.- 1. On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist-Osher and Roe.- 2. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws.- 3. Flux-Vector Splitting for the Euler Equation.- II. Second-Order Total-Variation Diminishing Schemes.- Annotation.- 1. A Comparative Study of Computational Methods in Cosmic Gas Dynamics.- 2. High Resolution Schemes and the Entropy Condition.- 3. Convergence of Generalized MUSCL Schemes.- 4. A Simplified TVD Finite Difference Scheme Via Artificial Viscosity.- 5. On Central-Difference and Upwind Schemes.- III. Essentially Non-oscillatory Schemes.- Annotation.- 1. Uniformly High-Order Accurate Nonoscillatory Schemes. I.- 2. Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III.- 3. ENO Schemes with Subcell Resolution.- 4. Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes, II.- 5. Essentially Nonoscillatory Spectral Fourier Methods for Shock Wave Calculations.- 6. Cell Averaging Chebyshev Methods for Hyperbolic Problems.- IV. Multidimensional Schemes.- Annotation.- 1. A Rotationally Biased Upwind Difference Scheme for the Euler Equations.- 2. Discrete Models for the Numerical Analysis of Time-Dependent Multidimensional Gas Dynamics.- 3. Discontinuous Solutions to Hyperbolic Systems Under Operator Splitting.- 4. High Resolution Finite Volume Methods on Arbitrary Grids Via Wave Propagation.- 5. Design of an Essentially Nonoscillatory Reconstruction Procedure on Finite-Element-Type Meshes.- 6. AContribution to the Great Riemann Solver Debate.- 7. An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More Than One Dimension).- Papers Reprinted.