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Hybrid Smoothed Finite Element Method For Two Dimensional Underwater Acoustic Scattering Problems
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Book Synopsis Hybrid Smoothed Finite Element Method for Two-dimensional Underwater Acoustic Scattering Problems by :
Download or read book Hybrid Smoothed Finite Element Method for Two-dimensional Underwater Acoustic Scattering Problems written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ultrasound micromanipulations and ocean acoustics: From human cells to marine structures by : Zhixiong Gong
Download or read book Ultrasound micromanipulations and ocean acoustics: From human cells to marine structures written by Zhixiong Gong and published by Frontiers Media SA. This book was released on 2023-07-19 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Analysis of Acoustic Scattering by : Frank Ihlenburg
Download or read book Finite Element Analysis of Acoustic Scattering written by Frank Ihlenburg and published by . This book was released on 2014-01-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Numerical Solution of Underwater Acoustic Propagation Problems Using Finite Difference and Finite Element Methods by : C. I. Goldstein
Download or read book The Numerical Solution of Underwater Acoustic Propagation Problems Using Finite Difference and Finite Element Methods written by C. I. Goldstein and published by . This book was released on 1984 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report discusses various aspects of the numerical solution of underwater acoustic wave propagation problems. In the first part of the report, a model propagation problem based on the two-dimensional Helmholtz equation with a variable sound speed is considered. A finite element computer code for solving such problems was implemented at NRL on the VAX 11/780. A distinctive feature of the code is the implementation of a recently developed iterative method for solving the resulting large, sparse, indefinite, non-self-adjoint system of equations. This allowed for the efficient solution of over 35,000 complex equations on a relatively small computer. Some of the results obtained after applying this code to the model problem are described. Furthermore, additional modifications that can be made to the code to improve its efficiency and extend its applicability to more general propagation models are discussed. In the second part of this report, the general situation of the coupled acoustic/elastic wave equation in two and three dimensions is considered. For example, this may correspond to an ocean environment in which there is ice on the surface as well as an irregularly shaped bottom structure. Finite difference and finite element methods for solving both the time harmonic and time dependent models are discussed. Various issues are considered that are important in determining the size of the problem that can be adequately treated. This includes the computer power as well as the mathematical and modeling techniques available. (Author).
Book Synopsis Three Transdimensional Factors for the Conversion of 2D Acoustic Rough Surface Scattering Model Results for Comparison with 3D Scattering by : Bryant Minh Tran
Download or read book Three Transdimensional Factors for the Conversion of 2D Acoustic Rough Surface Scattering Model Results for Comparison with 3D Scattering written by Bryant Minh Tran and published by . This book was released on 2013 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rough surface scattering is a problem of interest in underwater acoustic remote sensing applications. To model this problem, a fully three-dimensional (3D) finite element model has been developed, but it requires an abundance of time and computational resources. Two-dimensional (2D) models that are much easier to compute are often employed though they don't natively represent the physical environment. Three quantities have been developed that, when applied, allow 2D rough surface scattering models to be used to predict 3D scattering. The first factor, referred to as the spreading factor, adopted from the work of Sumedh Joshi [1], accounts for geometrical differences between equivalent 2D and 3D model environments. A second factor, referred to as the perturbative factor, is developed through the use of small perturbation theory. This factor is well-suited to account for differences in the scattered field between a 2D model and scattering from an isotropically rough 2D surface in 3D. Lastly, a third composite factor, referred to as the combined factor, of the previous two is developed by taking their minimum. This work deals only with scattering within the plane of the incident wave perpendicular to the scatterer. The applicability of these factors are tested by comparing a 2D scattering model with a fully three-dimensional Monte Carlo finite element method model for a variety of von Karman and Gaussian power spectra. The combined factor shows promise towards a robust method to adequately characterize isotropic 3D rough surfaces using 2D numerical simulations.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Boundary Element Method in Acoustics by : Stephen Kirkup
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:
Book Synopsis A Hybrid Fem-T-Matrix Technique for the Analysis of Acoustic Wave Scattering by Elastic Shells of Revolution by : Kumar Eswaran
Download or read book A Hybrid Fem-T-Matrix Technique for the Analysis of Acoustic Wave Scattering by Elastic Shells of Revolution written by Kumar Eswaran and published by . This book was released on 1982 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hybrid finite element cum T-matrix technique is introduced for the analysis of problems involving acoustic wave scattering by shells of revolution immersed in water. The concept of a mechanical impedance or receptance is used from the theory of vibrations to provide a relationship between the velocity of the shell surface and the pressure acting upon it. This relationship is introduced in the Helmholtz integral relations for the incident and scattered fields and a T-matrix for the scattering problem is derived. The mechanical impedance is calcuated by a conventional FEM technique. Numerical results are obtained for spherical shells as a check on the numerical procedure and also for a finite capped cyclindrical shell for waves incident along the rotational axes of symmetry. The comparison with the experimental results of Dr. S. Numrich and Dr. L. Dragonette of the Naval Research Laboratory is excellent. (Author).
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1986 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Finite Element-boundary Integral Hybrid Method and Its Applicatin to Two-dimensional Electromagnetic Field Problems by : John M. Schneider
Download or read book The Finite Element-boundary Integral Hybrid Method and Its Applicatin to Two-dimensional Electromagnetic Field Problems written by John M. Schneider and published by . This book was released on 1982 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Use of the Finite Element Method for the Modeling of Acoustic Scattering from One-dimensional Rough Fluid-poroelastic Interfaces by : Anthony Lucas Bonomo
Download or read book On the Use of the Finite Element Method for the Modeling of Acoustic Scattering from One-dimensional Rough Fluid-poroelastic Interfaces written by Anthony Lucas Bonomo and published by . This book was released on 2014 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A poroelastic finite element formulation originally derived for modeling porous absorbing material in air is adapted to the problem of acoustic scattering from a poroelastic seafloor with a one-dimensional randomly rough interface. The developed formulation is verified through calculation of the plane wave reflection coefficient for the case of a flat surface and comparison with the well known analytical solution. The scattering strengths are then obtained for two different sets of material properties and roughness parameters using a Monte Carlo approach. These numerical results are compared with those given by three analytic scattering models---perturbation theory, the Kirchhoff approximation, and the small-slope approximation---and from those calculated using two finite element formulations where the sediment is modeled as an acoustic fluid.
Book Synopsis Fast Finite Element/boundary Integral Algorithm for Two-dimensional Scattering Problems by : Thierry Caro
Download or read book Fast Finite Element/boundary Integral Algorithm for Two-dimensional Scattering Problems written by Thierry Caro and published by . This book was released on 1996 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Comparison of Displacement and Hybrid Stress Models for Two Dimensional Finite Element Analysis by : Samruam Tongtoe
Download or read book A Comparison of Displacement and Hybrid Stress Models for Two Dimensional Finite Element Analysis written by Samruam Tongtoe and published by . This book was released on 1987 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Analysis of Acoustic Scattering by : Frank Ihlenburg
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.
Book Synopsis Smoothed Point Interpolation Methods by : Gui-Rong Liu
Download or read book Smoothed Point Interpolation Methods written by Gui-Rong Liu and published by World Scientific. This book was released on 2013 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the various Smoothed Point Interpolation Method (S-PIM) models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail.
Book Synopsis The Isogeometric Boundary Element Method by : Gernot Beer
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.
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: