Godunov-type Schemes (PDF)
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This book aims to present the principles of such schemes in a way that is easily understandable to practising engineers.
The features of hyperbolic conservation laws and their solutions are presented in the first two chapters. The principles of Godunov-type schemes are outlined in a third chapter. Chapters 4 and 5 cover the application of the original Godunov scheme to scalar laws and to hyperbolic systems of conservation laws respectively. Chapter 6 is devoted to higher-order schemes in one dimension of space. The design of such a scheme is described for the general case and applied to some well-known schemes such as the MUSCL and PPM schemes. Chapter 7 focuses on multidimensional problems. The classical alternate directions and finite volume approaches are presented together with the wave splitting technique that is described in depth with an application to two-dimensional systems. Chapter 8 deals with large-time step algorithms. These include front tracking-based methods, explicit-implicit techniques and the time-line interpolation technique. Three appendices provide notions on accuracy and stability issues, Riemann solvers and the user instructions for the computational codes provided in the enclosed CD-ROM.
- Autor: V. Guinot
- 2003, 508 Seiten, Englisch
- Verlag: Elsevier Science & Techn.
- ISBN-10: 0080532586
- ISBN-13: 9780080532585
- Erscheinungsdatum: 29.01.2003
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- Größe: 20 MB
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