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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
F Magoulès |

ISBN: | 9781439856611 1439856613 |

OCLC Number: | 659750501 |

Description: | xxxi, 375 pages : illustrations ; 24 cm. |

Contents: | 1 Finite Volumes Methods / Jerome Boudet -- 2 Weighted Residuals Methods / Fabien Godeferd -- 3 Spectral Methods / Fabien Godeferd -- 4 Smoothed-Particle Hydrodynamics (SPH) Methods / Francis Leboeuf and Jean-Christophe Marongiu -- 5 Application of SPH Methods to Conservation Equations / Francis Leboeuf and Jean-Christophe Marongiu -- 6 Finite Volume Particle Methods (FVPM) / Francis Leboeuf and Jean-Christophe Marongiu -- 7 Numerical Algorithms for Unstructured Meshes / Bruno Koobus, Frederic Alauzet, and Alain Dervieux -- 8 LES, Variational Multiscale LES, and Hybrid Models / Hilde Ouvrard [and others] -- 9 Numerical Algorithms for Free Surface Flow / Alexandre Caboussat [and others]. |

Series Title: | Chapman & Hall/CRC numerical analysis and scientific computing. |

Responsibility: | edited by Frédéric Magoulès. |

### Abstract:

"This book concentrates on the numerical of computational fluid mechanics (including mathematical models in computational fluid mechanics, numerical methods in computational fluid mechanics, finite volume, finite difference, finite element, spectral methods, smoothed particle hydrodynamics methods, mixed-element-volume methods, free surface flow) followed by some focus of new development of classical methods, and to the recent methods appearing in this field. The topics covered in this book are wide ranging and demonstrate the extensive use in computational fluid mechanics. The book opens with a presentation of the basis of finite volume methods, weighted residual methods and spectral methods. These specific approaches are particularly important in the context of fluid mechanics, where they cover complementary domains of application. A unified point of view is introduced, based on the weighted residuals description. Chapter 1 presents the finite volume method. Chapter 2 describes the principles of weighted residuals methods. Chapter 3 introduces the spectral method. Chapter 4 presents computational fluid dynamics based on the smoothed particle hydrodynamics (SPH) method. Chapter 5 focuses on an improved SPH method based on an arbitrary Lagrange Euler (ALE) formalism. Chapter 6, using the similarity with the finite volumes method, introduces high order flux schemes between interacting points. Chapter 7 presents some numerical methods for compressible computational fluid dynamics. Chapter 8 deals with the prediction of turbulent complex flows as occur. Chapter 9 discusses the modeling and numerical simulation of free surface flows"--

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