Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction / Edition 2

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Overview

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.
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Product Details

  • ISBN-13: 9783540659662
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 8/28/1999
  • Edition description: REV
  • Edition number: 2
  • Pages: 648
  • Product dimensions: 6.58 (w) x 9.42 (h) x 1.58 (d)

Table of Contents

Preface to the First Edition
1 The Equations of Fluid Dynamics 1
2 Notions on Hyperbolic Partial Differential Equations 41
3 Some Properties of the Euler Equations 87
4 The Riemann Problem for the Euler Equations 115
5 Notions on Numerical Methods 163
6 The Method of Godunov for Non-linear Systems 213
7 Random Choice and Related Methods 237
8 Flux Vector Splitting Methods 265
9 Approximate-State Riemann Solvers 293
10 The HLL and HLLC Riemann Solvers 315
11 The Riemann Solver of Roe 341
12 The Riemann Solver of Osher 373
13 High-Order and TVD Methods for Scalar Equations 409
14 High-Order and TVD Schemes for Non-Linear Systems 489
15 Splitting Schemes for PDEs with Source Terms 527
16 Methods for Multi-Dimensional PDEs 539
17 Multidimensional Test Problems 581
18 Concluding Remarks 593
References 599
Index 620
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