Riemann Solvers and Numerical Methods for Fluid Dynamics A Practical Introduction

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 practica...

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Bibliographic Details
Main Author: Toro, Eleuterio F.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009, 2009
Edition:3rd ed. 2009
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Riemann Solvers and Numerical Methods for Fluid Dynamics  |h Elektronische Ressource  |b A Practical Introduction  |c by Eleuterio F. Toro 
250 |a 3rd ed. 2009 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2009, 2009 
300 |a XXIV, 724 p. 267 illus  |b online resource 
505 0 |a 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 
653 |a Mechanics, Applied 
653 |a Numerical Analysis 
653 |a Continuum mechanics 
653 |a Engineering Mechanics 
653 |a Mathematical physics 
653 |a Numerical analysis 
653 |a Continuum Mechanics 
653 |a Theoretical, Mathematical and Computational Physics 
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520 |a 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