Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction / Edition 2

Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction / Edition 2

by Eleuterio F. Toro
     
 

ISBN-10: 3540659668

ISBN-13: 9783540659662

Pub. Date: 08/28/1999

Publisher: Springer-Verlag New York, LLC

High resolution upwind and centered methods are a mature generation of computational techniques. They are 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. For its third

Overview

High resolution upwind and centered methods are a mature generation of computational techniques. They are 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. For its third edition the book has been thoroughly revised to contain new material.

Product Details

ISBN-13:
9783540659662
Publisher:
Springer-Verlag New York, LLC
Publication date:
08/28/1999
Edition description:
REV
Pages:
648
Product dimensions:
6.58(w) x 9.42(h) x 1.58(d)

Table of Contents

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.

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