## Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element MethodsAmong numerical methods applied in acoustics, the Finite Element Method (FEM) is normally favored for interior problems whereas the Boundary Element Method (BEM) is quite popular for exterior ones. That is why this valuable reference provides a complete survey of methods for computational acoustics, namely FEM and BEM. It demonstrates that both methods can be effectively used in the complementary cases. The chapters by well-known authors are evenly balanced: 10 chapters on FEM and 10 on BEM. An initial conceptual chapter describes the derivation of the wave equation and supplies a unified approach to FEM and BEM for the harmonic case. A categorization of the remaining chapters and a personal outlook complete this introduction. In what follows, both FEM and BEM are discussed in the context of very different problems. Firstly, this comprises numerical issues, e.g. convergence, multi-frequency solutions and highly efficient methods; and secondly, solutions techniques for the particular difficulties that arise with external problems, e.g. discussion of absorbing boundaries for FEM and treatment of the non-uniqueness problem for BEM. Finally, both parts on FEM and on BEM are completed by chapters on related problems, e.g. formulations for fluid-structure interaction. In addition to time-harmonic problems, transient problems are considered in some chapters. Many theoretical and industrial applications are presented. Overall, this book is a unified review of the state-of-the-art on FEM and BEM for computational acoustics. |

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### Contents

36 | |

57 | |

Multifrequency Analysis using Matrix PadéviaLanczos | 89 |

Computational Aeroacoustics based on Lighthills Acoustic Analogy | 115 |

FEM External Problems | 143 |

Computational Absorbing Boundaries | 145 |

Perfectly Matched Layers | 167 |

Inﬁnite Elements | 197 |

Fast Solution Methods | 333 |

Multidomain Boundary Element Method in Acoustics | 367 |

Waveguide Boundary Spectral Finite Elements | 387 |

BEM External Problems | 409 |

Treating the Phenomenon of Irregular Frequencies | 410 |

A Galerkintype BEformulation for Acoustic Radiation and Scattering of Structures with Arbitrary Shape | 435 |

Acoustical Radiation and Scattering above an Impedance Plane | 459 |

Time Domain Boundary Element Method Sabine Langer1 and Martin Schanz2 | 495 |

Efﬁcient Inﬁnite Elements based on Jacobi Polynomials | 231 |

FEM Related Problems | 251 |

FluidStructure Acoustic Interaction | 252 |

Energy Finite Element Method | 287 |

BEM Numerical Aspects | 307 |

Discretization Requirements How many Elements per Wavelength are Necessary? | 309 |

### Other editions - View all

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary ... Steffen Marburg,Bodo Nolte No preview available - 2009 |

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary ... Steffen Marburg,Bodo Nolte No preview available - 2010 |

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary ... Steffen Marburg,Bodo Nolte No preview available - 2008 |