Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
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Beschreibung
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 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.
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 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.
Only book summarizing FEM and BEM (and optimization) for acoustics The chapters discuss fundamental issues of the methods Methods will be presented for engineers, even if they are described by mathematicians Includes supplementary material: sn.pub/extras
Autor*in
Steffen Marburg
Themen in »Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods«
Burton-Miller method CHIEF Collocation method Discretization method Galerkin me absorbing boundary conditions (ABC) boundary element methods (BEM) discontinous elements fast BEM finite element methods (FEM) fluid-structure interaction
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From the reviews:
“This book contains a review of recent developments and new results for the application of finite and boundary element methods in acoustic simulations. … Without a doubt it will become a popular reference in the acoustic community. The volume can be highly recommended to graduate students and young researchers, as well as practitioners in the industry, as a representative compilation of recent methodical developments and interesting applications in the broad field of vibroacoustic simulation.” (Frank Ihlenburg, Acta Acustica United With Acustica, Vol. 95 (4), 2009)
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