Riemann solvers and numerical methods for fluid dynamics : a practical introduction

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Bibliographic Information

Riemann solvers and numerical methods for fluid dynamics : a practical introduction

Eleuterio F. Toro

Springer-Verlag, c2009

3rd ed.

Available at  / 26 libraries

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Note

Includes bibliographical references (p. [687]-718) and index

Description and Table of Contents

Description

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.

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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