Riemann Solvers and Numerical Methods for Fluid Dynamics

A Practical Introduction

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Gebonden, 724 blz. | Engels
Springer Berlin Heidelberg | 3e druk, 2009
ISBN13: 9783540252023
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Springer Berlin Heidelberg 3e druk, 2009 9783540252023
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Samenvatting

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.

Specificaties

ISBN13:9783540252023
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:724
Uitgever:Springer Berlin Heidelberg
Druk:3

Inhoudsopgave

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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        Riemann Solvers and Numerical Methods for Fluid Dynamics