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Upwind and High-Resolution Schemes -

Upwind and High-Resolution Schemes

Buch | Softcover
X, 588 Seiten
2011 | 1. Softcover reprint of the original 1st ed. 1997
Springer Berlin (Verlag)
978-3-642-64452-8 (ISBN)
CHF 179,70 inkl. MwSt
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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.

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.

Erscheint lt. Verlag 23.9.2011
Zusatzinfo X, 588 p.
Verlagsort Berlin
Sprache englisch
Maße 170 x 242 mm
Gewicht 991 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
Schlagworte Compressible Flows • conservation • conservation law • Dynamics • Entropy • Fluid Dynamics • high-resolution schemes • hypersonic flows • Numerical analysis • numerical method • Oscillation • paper • Plasma dynamics • Solution • wave propagation
ISBN-10 3-642-64452-X / 364264452X
ISBN-13 978-3-642-64452-8 / 9783642644528
Zustand Neuware
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