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

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

Bibliographic Details
Main Author: Toro, Eleuterio F. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edition:3rd ed. 2009.
Subjects:
Mechanics.
Mechanics, Applied.
Mathematical physics.
Numerical analysis.
Fluids.
Theoretical and Applied Mechanics.
Theoretical, Mathematical and Computational Physics.
Numerical Analysis.
Fluid- and Aerodynamics.
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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