On the parabolic equation method for water-wave propagation

N ov 2 00 7 On the parabolic equation method in internal wave propagation 1

A parabolic equation for the propagation of periodic internal waves over varying bottom topography is derived using the multiple-scale perturbation method. Some computational aspects of the numerical implementation are discussed. The results of numerical experiments on propagation of an incident plane wave over a circular-type shoal are presented in comparison with the analytical result, based ...

A Parabolic Equation for Wave Propagation over Porous Structures

application of the parabolic equation method for analyisis of indoor propagation problems

with the rapid growth of indoor wireless communication systems, the need to accurately model radio wave propagation inside the building environments has increased. many site-specific methods have been proposed for modeling indoor radio channels. among these methods, the ray tracing algorithm and the finite-difference time domain (fdtd) method are the most popular ones. the ray tracing approach ...

Seismic Wave-Field Propagation Modelling using the Euler Method

Wave-field extrapolation based on solving the wave equation is an important step in seismic modeling and needs a high level of accuracy. It has been implemented through a various numerical methods such as finite difference method as the most popular and conventional one. Moreover, the main drawbacks of the finite difference method are the low level of accuracy and the numerical dispersion for l...

Propagation of Singularities for the Wave Equation on Edge Manifolds

We investigate the geometric propagation and diffraction of singularities of solutions to the wave equation on manifolds with edge singularities. This class of manifolds includes, and is modelled on, the product of a smooth manifold and a cone over a compact fiber. Our main results are a general ‘diffractive’ theorem showing that the spreading of singularities at the edge only occurs along the ...