Riemann Solvers and Numerical Methods for Fluid Dynamics
A Practical Introduction
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Beschreibung
This textbook gives a comprehensive and practical treatment of all existing Riemann solvers for compressible fluid dynamics and their use in the upwind method of Godunov and its high-order extensions. Related upwind methods of the Flux Vector Splitting type are also included, as are modern centred TVD methods. Methodologies for solving realistic problems in one, two and three space dimensions for both Cartesian and non-Cartesian geometries are presented in detail. Additional information is provided on further developments of the techniques and possible applications to practical problems in a variety of disciplines. A list of over 400 relevant references is given. The book is most useful for post-graduate students in Applied Mathematics, Engineering, Physics, Computing and other scientific disciplines such as Meteorology, Oceanography, Hydraulics and Chemistry, for example. It can be used as a means for self-study by academics and computational practioners in indusstry and research laboratories or as a teaching aid for postgraduate and final-year undergraduate courses on numerical methods etc.
High resolution upwind and centered 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. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.
Comprehensive treatment of subject, practical approach given in details Useful in practice Self-contained presentation of methods
Autor*in
Eleuterio F. Toro
Themen in »Riemann Solvers and Numerical Methods for Fluid Dynamics«
Fluidmechanik Numerische Methoden Strömungsdynamik computational fluid dynamics differential equation fluid dynamics fluid mechanics hyperbolic partial differential equation mechanical engineering numerical methods partial differential equation fluid- and aerodynamics