Effective Computational Methods for Wave Propagation

Effective Computational Methods for Wave Propagation

Author: Nikolaos A. Kampanis,Vassilios Dougalis,John A. Ekaterinaris

Publisher: CRC Press

ISBN: 9781420010879

Page: 712

View: 975

Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable computational methods used to describe wave propagation phenomena in selected areas of physics and technology. Featuring contributions from internationally known experts, the book is divided into four parts. It begins with the simulation of nonlinear dispersive waves from nonlinear optics and the theory and numerical analysis of Boussinesq systems. The next section focuses on computational approaches, including a finite element method and parabolic equation techniques, for mathematical models of underwater sound propagation and scattering. The book then offers a comprehensive introduction to modern numerical methods for time-dependent elastic wave propagation. The final part supplies an overview of high-order, low diffusion numerical methods for complex, compressible flows of aerodynamics. Concentrating on physics and technology, this volume provides the necessary computational methods to effectively tackle the sources of problems that involve some type of wave motion.
Categories: Mathematics

Numerical Methods for Shallow-Water Flow

Numerical Methods for Shallow-Water Flow

Author: C.B. Vreugdenhil

Publisher: Springer Science & Business Media

ISBN: 9780792331643

Page: 262

View: 8821

A wide variety of problems are associated with the flow of shallow water, such as atmospheric flows, tides, storm surges, river and coastal flows, lake flows, tsunamis. Numerical simulation is an effective tool in solving them and a great variety of numerical methods are available. The first part of the book summarizes the basic physics of shallow-water flow needed to use numerical methods under various conditions. The second part gives an overview of possible numerical methods, together with their stability and accuracy properties as well as with an assessment of their performance under various conditions. This enables the reader to select a method for particular applications. Correct treatment of boundary conditions (often neglected) is emphasized. The major part of the book is about two-dimensional shallow-water equations but a discussion of the 3-D form is included. The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.
Categories: Science

Progress in Computational Physics (PiCP)

Wave Propagation in Periodic Media

Progress in Computational Physics (PiCP)

Author: Matthias Ehrhardt

Publisher: Bentham Science Publishers

ISBN: 1608051501

Page: 230

View: 3593

Progress in Computational Physics is a new e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computat
Categories: Science

IUTAM Symposium on Computational Methods for Unbounded Domains

IUTAM Symposium on Computational Methods for Unbounded Domains

Author: Thomas L. Geers

Publisher: Springer Science & Business Media

ISBN: 9780792352662

Page: 328

View: 625

This volume constitutes the proceedings of the 1997 IUTAM Symposium, where invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics, and mathematics discussed non-reflecting computational boundaries. The participants formulated benchmark problems for evaluating computational boundaries, as described in the first article.
Categories: Technology & Engineering

Computational Methods for Electromagnetic and Optical Systems, Second Edition

Computational Methods for Electromagnetic and Optical Systems, Second Edition

Author: John M. Jarem,Partha P. Banerjee

Publisher: CRC Press

ISBN: 1439891281

Page: 432

View: 3078

The current rapid and complex advancement applications of electromagnetic (EM) and optical systems calls for a much needed update on the computational methods currently in use. Completely revised and reflecting ten years of develoments, this second edition of the bestselling Computational Methods for Electromagnetic and Optical Systems provides the update so desperately needed in this field. Offering a wealth of new material, this second edition begins with scalar wave propagation and analysis techniques, chiral and metamaterials, and photonic band gap structures. It examines Pontying vector and stored energy, as well as energy, group, and phase velocities; reviews k-space state variable formation with applications to anistropic planar systems; and presents full-field rigorous coupled wave analysis of planar diffraction gratings with applications to H-mode, E-mode, crossed gratings, single and multilayered diffraction grating analysis, and diffraction from anistropic gratings. Later chapters highlight spectral techniques and RCWA as applied to the analysis of dynamic wave-mixing in PR materials with induced transmission and reflection gratings and demonstrate the RCWA algorithm to analyze cylindrical and spherical systems using circular, bipolar cylindrical, and spherical coordinates. The book concludes with several RCWA computational case studies involving scattering from spatially inhomogeneous eccentric circular cylinders, solved in bipolar coordinates. Many of these examples apply the complex Poynting theorem or the forwardscattering (optical) theorem to validate numerical solutions by verifying power conservation. Using common computational tools such as Fortran, MATLAB, COMSOL, and RSOFT, the text offers numerous examples to illuminate the material, many of which employ a full-field vector approach to analyze and solve Maxwell’s equations in anisotropic media where a standard wave equation approach is intractable. Designed to introduce novel spectral computational techniques, the book demonstrates the application of these methods to analyze a variety of EM and optical systems.
Categories: Science

Computational Methods for Nanoscale Applications

Particles, Plasmons and Waves

Computational Methods for Nanoscale Applications

Author: Igor Tsukerman

Publisher: Springer Science & Business Media

ISBN: 9780387747781

Page: 532

View: 2255

Positioning itself at the common boundaries of several disciplines, this work provides new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. In addition to well-known computational techniques such as finite-difference schemes and Ewald summation, the book presents a new finite-difference calculus of Flexible Local Approximation Methods (FLAME) that qualitatively improves the numerical accuracy in a variety of problems.
Categories: Technology & Engineering

Structural Dynamic Systems Computational Techniques and Optimization

Computational Techniques

Structural Dynamic Systems Computational Techniques and Optimization

Author: Cornelius T. Leondes

Publisher: CRC Press

ISBN: 9789056996574

Page: 332

View: 6140

Computational techniques for the analysis and design of structural dynamic systems using numerical methods have been the focus of an enormous amount of research for several decades. In general, the numerical methods utilized to solve these problems include two phases: (a) spatial discretization by either the finite element method (FEM) or the finite difference method (FDM), and (b) solution of systems of time dependent second-order ordinary differential equations. In addition, the significantly powerful advances in computer systems capabilities have put on the desks of structural systems designers enormous computing power either by means of increasingly effective computer workstations or else through PCs (personal computers), whose increasing power has succeeded in marginalizing the computational power differences between PCs and workstations in many cases. This volume is a comprehensive treatment of the issues involved in computational techniques in structural dynamic systems.
Categories: Mathematics

Computational Methods for Astrophysical Fluid Flow

Saas-Fee Advanced Course 27. Lecture Notes 1997 Swiss Society for Astrophysics and Astronomy

Computational Methods for Astrophysical Fluid Flow

Author: Randall J. LeVeque,Dimitri Mihalas,E.A. Dorfi,Ewald Müller

Publisher: Springer Science & Business Media

ISBN: 3540644482

Page: 510

View: 3181

This book leads directly to the most modern numerical techniques for compressible fluid flow, with special consideration given to astrophysical applications. Emphasis is put on high-resolution shock-capturing finite-volume schemes based on Riemann solvers. The applications of such schemes, in particular the PPM method, are given and include large-scale simulations of supernova explosions by core collapse and thermonuclear burning and astrophysical jets. Parts two and three treat radiation hydrodynamics. The power of adaptive (moving) grids is demonstrated with a number of stellar-physical simulations showing very crispy shock-front structures.
Categories: Science

Computational Methods for Electromagnetic and Optical Systems, Second Edition

Computational Methods for Electromagnetic and Optical Systems, Second Edition

Author: John M. Jarem,Partha P. Banerjee

Publisher: CRC Press

ISBN: 1439804230

Page: 472

View: 1522

This text examines a variety of spectral computational techniques— including k-space theory, Floquet theory and beam propagation— that are used to analyze electromagnetic and optical problems. The authors tie together different applications in EM and optics in which the state variable method is used. Emphasizing the analysis of planar diffraction gratings using rigorous coupled wave analysis, the book presents many cases that are analyzed using a full-field vector approach to solve Maxwell’s equations in anisotropic media where a standard wave equation approach is intractable.
Categories: Science

Coupling of Fluids, Structures and Waves in Aeronautics

Proceedings of a French-Australian Workshop in Melbourne, Australia 3-6 December 2001

Coupling of Fluids, Structures and Waves in Aeronautics

Author: Noel G. Barton

Publisher: Springer Science & Business Media

ISBN: 9783540402220

Page: 318

View: 6400

This volume contains the proceedings of a workshop held in Melbourne, Australia, entitled "Coupling of Fluids, Structures and Waves in Aeronautics". The 22 papers deal with new computational methods for multi-disciplinary design in aeronautics. They are grouped into chapters on fluids, structures, electromagnetics, optimisation, mathematical methods and tools, and aircraft design. Several papers treat coupling of these themes in a multi-physics setting. Included is a 17-page report of a Round Table discussion entitled "Future Tools for Design and Manufacture of Innovative Products in the Aeronautics Industry", together with a summary of important themes and issues. This research promotes the advanced technologies necessary for continued development of efficient and environmentally sustainable transport systems.
Categories: Computers