Riemann Solvers and Numerical Methods for Fluid Dynamics
Springer Berlin (Verlag)
978-3-540-25202-3 (ISBN)
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 practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Direct applicability of the methods include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition the book was thoroughly revised and contains substantially more, and new material both in its fundamental as well as in its applied parts.
Summary of contents:
Governing Equations
Mathematical Preliminaries
Some Properties of the Euler Equations
The Riemann Problem for the Euler Equations
Notions on Numerical Methods
The Method of Godunov for Non-linear Systems
Random Choice and Related Methods
The Flux Vector Splitting Approach
Approximate-state Riemann Solvers
HLL-Type Riemann Solvers
The Riemann Solver of Roe
The Riemann Solver of Osher
TVD Methods for Scalar Problems
TVD Methods for Non-linear Systems
Schemes for Source Terms
Methods for Multi-dimensional Problems
The Shallow Water Equations
Methods for the Navier-Stokes Equations
The Riemann Problem for General Materials
Selected Topics
Erscheint lt. Verlag | 27.4.2009 |
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Zusatzinfo | XXIV, 724 p. 267 illus. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 1242 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
Technik ► Maschinenbau | |
Schlagworte | computational fluid dynamics • Computational fluid mechanics • Convection-Reaction-Diffusion Problems • fluid- and aerodynamics • Fluid Dynamics • Fluiddynamik • Godunov Methods • Hardcover, Softcover / Technik/Maschinenbau, Fertigungstechnik • HC/Mathematik/Analysis • HC/Technik/Maschinenbau, Fertigungstechnik • hyperbolic conservation laws • Random Choice Methods • Total Variaton Diminishing |
ISBN-10 | 3-540-25202-9 / 3540252029 |
ISBN-13 | 978-3-540-25202-3 / 9783540252023 |
Zustand | Neuware |
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