Riemann Solvers and Numerical Methods for Fluid Dynamics (eBook, PDF)

Riemann Solvers and Numerical Methods for Fluid Dynamics (eBook, PDF)

A Practical Introduction

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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 v...

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