Three-Dimensional Wave Propagation Using Boundary Integral Equation Techniques

The efficient numerical propagation of waves in complex three-dimensionally varying environments has been a problem of considerable geophysical interest over the past few years, yet has proven extremely difficult even for the case of acoustic wave propagation in two dimesional structures. This is pr...

Full description

Saved in:
Bibliographic Details
Main Authors: Apsel,Randy J, Mellman,George R, Wong,Ping C
Format: Report
Language:English
Subjects:
ACCURACY
ACOUSTIC WAVES
Acoustics
BOUNDARIES
CONSTRUCTION
DIFFERENTIAL EQUATIONS
EQUATIONS OF MOTION
FINITE DIFFERENCE THEORY
INTEGRAL EQUATIONS
INTERFERENCE
NONLINEAR SYSTEMS
NUMERICAL ANALYSIS
Numerical Mathematics
PE61102F
QUANTITY
RAY TRACING
SOLUTIONS(GENERAL)
STRUCTURES
THREE DIMENSIONAL
WAVE PROPAGATION
WUAFGL2309G2AQ
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The efficient numerical propagation of waves in complex three-dimensionally varying environments has been a problem of considerable geophysical interest over the past few years, yet has proven extremely difficult even for the case of acoustic wave propagation in two dimesional structures. This is primarily due to the fact that although the differential equations of motion are linear in the field quantities of interest, they are non-linear in terms of the boundary conditions for most realistic structures. This fundamental nonlinearity precludes construction of the solution for complex structures by superposition of the solutions for simple structures, and forces one into computationally costly schemes. Techniques for dealing with this fundamental nonlinearity have spanned the range from the crudest classical ray tracing approach to the computational-bound finite difference type methods. However, no single technique has ever proven entirely satisfactory for reasons of accuracy, completeness of solution, generality of application, cost or combinations thereof. For example, in cases where significant diffraction and interference effects require exact solutions, finite difference techniques have received widespread use.