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The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
This conference provided a forum for active researchers to discuss the state-of-the-art in theoretical and computational acoustics. Topics covered fluid/elastic interface-theoretical and computational aspects with applications, seismic waves and earthquake studies, modeling, theoretical and computational aspects for multidimensional wave propagation, methods for computational acoustics, structural acoustics, scattering and inverse problems, solutions to acoustic problems by supercomputers and parallel processing, and application of neural networks to acoustics.
The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
This book reviews a variety of methods for wave-based acoustic simulation and recent applications to architectural and environmental acoustic problems. Following an introduction providing an overview of computational simulation of sound environment, the book is in two parts: four chapters on methods and four chapters on applications. The first part explains the fundamentals and advanced techniques for three popular methods, namely, the finite-difference time-domain method, the finite element method, and the boundary element method, as well as alternative time-domain methods. The second part demonstrates various applications to room acoustics simulation, noise propagation simulation, acoustic property simulation for building components, and auralization. This book is a valuable reference that covers the state of the art in computational simulation for architectural and environmental acoustics.
Covers the theory and practice of innovative new approaches to modelling acoustic propagation There are as many types of acoustic phenomena as there are media, from longitudinal pressure waves in a fluid to S and P waves in seismology. This text focuses on the application of computational methods to the fields of linear acoustics. Techniques for solving the linear wave equation in homogeneous medium are explored in depth, as are techniques for modelling wave propagation in inhomogeneous and anisotropic fluid medium from a source and scattering from objects. Written for both students and working engineers, this book features a unique pedagogical approach to acquainting readers with innovative numerical methods for developing computational procedures for solving problems in acoustics and for understanding linear acoustic propagation and scattering. Chapters follow a consistent format, beginning with a presentation of modelling paradigms, followed by descriptions of numerical methods appropriate to each paradigm. Along the way important implementation issues are discussed and examples are provided, as are exercises and references to suggested readings. Classic methods and approaches are explored throughout, along with comments on modern advances and novel modeling approaches. Bridges the gap between theory and implementation, and features examples illustrating the use of the methods described Provides complete derivations and explanations of recent research trends in order to provide readers with a deep understanding of novel techniques and methods Features a systematic presentation appropriate for advanced students as well as working professionals References, suggested reading and fully worked problems are provided throughout An indispensable learning tool/reference that readers will find useful throughout their academic and professional careers, this book is both a supplemental text for graduate students in physics and engineering interested in acoustics and a valuable working resource for engineers in an array of industries, including defense, medicine, architecture, civil engineering, aerospace, biotech, and more.
This dissertation is concerned with numerical solutions of a class of boundary value problems in acoustic, elastic and nonlinear water waves, and consists of two independent parts. In the first part, we deal with the application of variational methods, including the finite element method, the boundary element method as well as their coupling, to solutions of three specific two-dimensional boundary value problems in acoustics and elastodynamics. To be more precise, we first study the application of finite element methods to the solution of exterior Neumann problems in acoustics. The original problem is reduced to a nonlocal boundary value problem in a bounded domain by introducing an artificial boundary. We employ, respectively, a direct boundary integral equation method and a Foureier series expansion method to define corresponding Dirichlet-to-Neumann mappings on the artificial boundary. Weak formulations for the resulting nonlocal boundary value problems are carefully studied. Thereafter, we employ the boundary element methods to seek solutions of two type of transmission problems in acoustics and fluid-structure interaction, respectively. The original transmission problems are reduced to a system of coupled boundary integral equations. We are interested in their weak formulations. Uniqueness and existence for the weak solutions are carefully investigated in appropriate Sobolev spaces. For each specific problem, a sequence of numerical tests are implemented to illustrate the accuracy and efficiency of the solution procedures. During these tests, in addition to the standard boundary element method, fast multipole methods are also employed for the numerical treatment of boundary integral equations to be involved. In the second part, we present an accurate and efficient numerical model for the simulation of fully nonlinear, three-dimensional surface water waves on infinite or finite depth. The numerical method is based on the reduction of the problem to a lower-dimensional Hamiltonian system involving surface quantities alone. This is accomplished by introducing an Dirichlet-to-Neumann mapping which is represented in terms of its Taylor series expansion in homogeneous powers of the surface elevation. The validity of the model and the efficiency of the method are illustrated by simulating the long-time evolution of two-dimensional steadily progressing waves, as well as the development of three-dimensional (short-crested) nonlinear waves, both in deep and shallow water.
"This volume presents in eleven chapters key computational methods for acoustics and vibro-acoustics problems. Each chapter, written by different authors, presents a state of the art of well-established or innovative methods, techniques or algorithms. A bibliography is included at the end of each chapter."--BOOK JACKET.