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Upwind and High-Resolution Schemes

Author: M Yousuff Hussaini; Bram Leer; John Rosendale
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997.
Edition/Format:   eBook : Bibliographic data : EnglishView all editions and formats
Summary:
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows. These methods combine higher-order accuracy in smooth regions, with sharp, oscillation-free representation of embedded shocks, and are now known as "high-resolution schemes". This volume collects in one place many of the most significant papers in the development of  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: M Yousuff Hussaini; Bram Leer; John Rosendale
ISBN: 9783642605437 3642605435 9783642644528 364264452X
OCLC Number: 840292975
Description: 1 online resource (x, 588 pages)
Contents: 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. A Contribution to the Great Riemann Solver Debate --
7. An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More Than One Dimension) --
Papers Reprinted.
Responsibility: edited by M. Yousuff Hussaini, Bram Leer, John Rosendale.

Abstract:

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  Read more...

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