Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods. 1st ed. 2008

種類:

電子ブック

責任表示:

edited by Steffen Marburg, Bodo Nolte

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008

著者名:

• Marburg, Steffen.
• Nolte, Bodo.
• SpringerLink (Online service)

ISBN:

9783540774488 [3540774483]    

注記:

A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics -- A Unified Approach to Finite and Boundary Element Discretization in Linear Time–Harmonic Acoustics -- FEM: Numerical Aspects -- Dispersion, Pollution, and Resolution -- Different Types of Finite Elements -- Multifrequency Analysis using Matrix Padé–via–Lanczos -- Computational Aeroacoustics based on Lighthill’s Acoustic Analogy -- FEM: External Problems -- Computational Absorbing Boundaries -- Perfectly Matched Layers -- Infinite Elements -- Efficient Infinite Elements based on Jacobi Polynomials -- FEM: Related Problems -- Fluid–Structure Acoustic Interaction -- Energy Finite Element Method -- BEM: Numerical Aspects -- Discretization Requirements: How many Elements per Wavelength are Necessary? -- Fast Solution Methods -- Multi–domain Boundary Element Method in Acoustics -- Waveguide Boundary Spectral Finite Elements -- BEM: External Problems -- Treating the Phenomenon of Irregular Frequencies -- A Galerkin–
Among 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 wi

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