Riemann solvers and numerical methods for fluid dynamics : a practical introduction
著者
書誌事項
Riemann solvers and numerical methods for fluid dynamics : a practical introduction
Springer-Verlag, c2009
3rd ed.
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注記
Includes bibliographical references (p. [687]-718) and index
内容説明・目次
内容説明
High resolution upwind and centered methods are a mature generation of computational techniques. They are 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. For its third edition the book has been thoroughly revised to contain new material.
目次
- 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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