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Riemann Solvers and Numerical Methods for Fluid Dynamics - Eleuterio F. Toro

Riemann Solvers and Numerical Methods for Fluid Dynamics

A Practical Introduction
Buch | Softcover
XXIV, 724 Seiten
2010 | 3. Softcover reprint of hardcover 3rd ed. 2009
Springer Berlin (Verlag)
978-3-642-06438-8 (ISBN)
CHF 449,35 inkl. MwSt
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High resolution upwind and centred methods are a mature generation of computational techniques applicable to a range of disciplines, Computational Fluid Dynamics being the most prominent. This book gives a practical presentation of this class of techniques.

High resolution upwind and centred methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods.  Direct applicability of the methods  include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition the book was thoroughly revised and  contains substantially more, and new material both in its fundamental as well as in its applied parts.

The Equations of Fluid Dynamics.- Notions on Hyperbolic Partial Differential Equations.- Some Properties of the Euler Equations.- The Riemann Problem for the Euler Equations.- Notions on Numerical Methods.- The Method of Godunov for Non#x2014;linear Systems.- Random Choice and Related Methods.- Flux Vector Splitting Methods.- Approximate#x2014;State Riemann Solvers.- The HLL and HLLC Riemann Solvers.- The Riemann Solver of Roe.- The Riemann Solver of Osher.- High#x2013;Order and TVD Methods for Scalar Equations.- High#x2013;Order and TVD Schemes for Non#x2013;Linear Systems.- Splitting Schemes for PDEs with Source Terms.- Methods for Multi#x2013;Dimensional PDEs.- Multidimensional Test Problems.- FORCE Fluxes in Multiple Space Dimensions.- The Generalized Riemann Problem.- The ADER Approach.- Concluding Remarks.

Erscheint lt. Verlag 14.10.2010
Zusatzinfo XXIV, 724 p. 267 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 1108 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
Technik Maschinenbau
Schlagworte computational fluid dynamics • Computational fluid mechanics • Convection-Reaction-Diffusion Problems • fluid- and aerodynamics • Fluid Dynamics • Godunov Methods • hyperbolic conservation laws • Random Choice Methods • Total Variaton Diminishing
ISBN-10 3-642-06438-8 / 3642064388
ISBN-13 978-3-642-06438-8 / 9783642064388
Zustand Neuware
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