Kampanis / Dougalis / Ekaterinaris Effective Computational Methods for Wave Propagation

Erscheinungsjahr 2008
ISBN: 978-1-4200-1087-9
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 712 Seiten

Reihe: Numerical Insights

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.

Zielgruppe

Applied mathematicians in computation, numerical analysis, and partial differential equations; engineers and physicists in fluid dynamic and waves.

Autoren/Hrsg.

Kampanis, Nikolaos A.

Dougalis, Vassilios

Ekaterinaris, John A.

Fachgebiete

• Naturwissenschaften Physik Mechanik

Inhaltsverzeichnis

PREFACE
Nonlinear Dispersive Waves
Numerical Simulations of Singular Solutions of Nonlinear Schrödinger Equations
Xiao-Ping Wang
Numerical Solution of the Nonlinear Helmholtz Equation
G. Fibich and S. Tsynkov
Theory and Numerical Analysis of Boussinesq Systems: A Review
V.A. Dougalis and D.E. Mitsotakis
The Helmholtz Equation and its Paraxial Approximations in Underwater Acoustics
Finite Element Discretization of the Helmholtz Equation in an Underwater Acoustic Waveguide
D.A. Mitsoudis, N.A. Kampanis, and V.A. Dougalis
Parabolic Equation Techniques in Underwater Acoustics
D.J. Thomson and G.H. Brooke
Numerical Solution of the Parabolic Equation in Range-Dependent Waveguides
V.A. Dougalis, N.A. Kampanis, F. Sturm, and G.E. Zouraris
Exact Boundary Conditions for Acoustic PE Modeling over an N2-Linear Half-Space
T.W. Dawson, G.H. Brooke, and D.J. Thomson
Numerical Methods for Elastic Wave Propagation
Introduction and Orientation
P. Joly
The Mathematical Model for Elastic Wave Propagation
P. Joly
Finite Element Methods with Continuous Displacement
P. Joly
Finite Element Methods with Discontinuous Displacement
P. Joly and C. Tsogka
Fictitious Domains Methods for Wave Diffraction
P. Joly and C. Tsogka
Space–Time Mesh Refinement Methods
G. Derveaux, P. Joly, and J. Rodríguez
Numerical Methods for Treating Unbounded Media
P. Joly and C. Tsogka
Waves in Compressible Flows
High-Order Accurate Space Discretization Methods for Computational Fluid Dynamics
J.A. Ekaterinaris
Governing Equations
J.A. Ekaterinaris
High-Order Finite-Difference Schemes
J.A. Ekaterinaris
ENO and WENO Schemes
J.A. Ekaterinaris
The Discontinuous Galerkin (DG) Method
J.A. Ekaterinaris
INDEX