Download or read book Enriched and Isogeometric Boundary Element Methods for Acoustic Wave Scattering written by Michael John Peake and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acoustic and Elastic Wave Scattering Using Boundary Elements written by J. J. do Rêgo Silva and published by Computational Mechanics. This book was released on 1994-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of wave propagation in solids and fluids is of importance in many branches of physics and engineering. This book concentrates on the propagation of acoustic and harmonic waves in three-dimensional regions. The problems are formulated using integral equations and their numerical solutions are obtained through the boundary element method.
Download or read book Modelling Simulation and Data Analysis in Acoustical Problems written by Claudio Guarnaccia and published by MDPI. This book was released on 2020-06-23 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and simulation in acoustics is currently gaining importance. In fact, with the development and improvement of innovative computational techniques and with the growing need for predictive models, an impressive boost has been observed in several research and application areas, such as noise control, indoor acoustics, and industrial applications. This led us to the proposal of a special issue about “Modelling, Simulation and Data Analysis in Acoustical Problems”, as we believe in the importance of these topics in modern acoustics’ studies. In total, 81 papers were submitted and 33 of them were published, with an acceptance rate of 37.5%. According to the number of papers submitted, it can be affirmed that this is a trending topic in the scientific and academic community and this special issue will try to provide a future reference for the research that will be developed in coming years.
Download or read book Acoustic Scattering Using Boundary Element Methods with Application to Colloids written by Matthew Robert Bolton and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Boundary Element Method in Acoustics written by Stephen Kirkup and published by Stephen Kirkup. This book was released on 1998 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Time Domain Boundary Element Methods for Acoustic Scattering written by Georgios Natsiopoulos and published by . This book was released on 2008 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Isogeometric Boundary Element Method written by Gernot Beer and published by Springer Nature. This book was released on 2019-09-21 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
Download or read book Partition of Unity Methods written by St¿phane Bordas and published by John Wiley & Sons. This book was released on 2023-10-16 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.
Download or read book Finite Element Analysis of Acoustic Scattering written by Frank Ihlenburg and published by Springer Science & Business Media. This book was released on 2006-03-29 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. The author also includes broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. A self-contained and easily readable work.
Download or read book Wave Scattering from Nontrivial Boundary Conditions written by Jörg Alexander Nick and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation studies the numerical approximation of time-dependent acoustic and electromagnetic wave scattering problems in the presence of non-standard boundary conditions. Of particular interest is the numerical treatment of generalized impedance boundary conditions, effective models that approximate the wave-material interaction of partially penetrable obstacles. Classical applications of such boundary conditions are the scattering of highly absorbing materials and perfectly reflecting obstacles with a thin coating. Moreover, acoustic boundary conditions are discussed in the context of the acoustic wave equation. Finally, a class of nonlinear boundary conditions is covered in the context of electromagnetic scattering. Formulated on the time domain, these boundary conditions contain surface differential operators and temporal convolution operators. The resulting boundary value problems on exterior domains are reformulated to retarded boundary integral equations, which are themselves nonlocal in time and space, but fully formulated on the boundary. Several new fundamental properties of the time-harmonic classical potential operators and boundary operators for the acoustic wave equation and the Maxwell's equations are shown, in particular in view of their temporal counterparts. These theoretical results are the necessary preparations for the subsequent numerical analysis of these problems. To derive numerical methods, the boundary integral equations are then discretized in time and space. The temporal discretization is carried out using the Runge--Kutta convolution quadrature method. Fully discrete schemes are derived by combining the time discretization with appropriate boundary element methods in space. Error bounds with specific convergence rates are shown for all boundary conditions. The presentation of the linear boundary conditions is focused on emphasizing the similarities and differences of the acoustic and the electromagnetic settings. The error analysis for the nonlinear scattering problem substantially differs from the analysis of the linear boundary conditions and several new concepts are necessary to overcome the difficulties arising through the nonlinearity of the corresponding boundary integral equation. Numerical experiments illustrate the theoretical results and investigate practical aspects of the proposed methods.
Download or read book The Isogeometric Boundary Element Method written by Gernot Beer and published by . This book was released on 2020 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
Download or read book Isogeometric Boundary Element Analysis and Structural Shape Optimization for Helmholtz Acoustic Problems written by Ahmed Mostafa Shaaban Mohamed and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, a new approach is developed for applications of shape optimization on the time harmonic wave propagation (Helmholtz equation) for acoustic problems. This approach is introduced for different dimensional problems: 2D, 3D axi-symmetric and fully 3D problems. The boundary element method (BEM) is coupled with the isogeometric analysis (IGA) forming the so-called (IGABEM) which speeds up meshing and gives higher accuracy in comparison with standard BEM. BEM is superior for handling unbounded domains by modeling only the inner boundaries and avoiding the truncation error, present in the finite element method (FEM) since BEM solutions satisfy the Sommerfeld radiation condition automatically. Moreover, BEM reduces the space dimension by one from a volumetric three-dimensional problem to a surface two-dimensional problem, or from a surface two-dimensional problem to a perimeter one-dimensional problem. Non-uniform rational B-splines basis functions (NURBS) are used in an isogeometric setting to describe both the CAD geometries and the physical fields. ...
Download or read book Acoustic Scattering by Elastic Solids Using the Boundary Element Method written by Partha P. Goswami and published by . This book was released on 1988 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary Element Tearing and Interconnecting Methods for Acoustic and Electromagnetic Scattering written by Markus Windisch and published by . This book was released on 2011 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Isogeometric Boundary Element Method for Three dimensional Acoustic Analysis written by Changle Fu and published by . This book was released on 2012 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acoustic Scattering by Moving Bodies written by J. S. Hausmann and published by . This book was released on 1990 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary Element Acoustics written by and published by . This book was released on 2000 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
