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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:
Mechanics, Applied
Numerical Analysis
Continuum Mechanics
Engineering Mechanics
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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