Open AccessAcoustic wave propagation in 2‐D cylindrical coordinates
Author(s) -
Kessler David,
Kosloff Dan
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb05672.x
Subject(s) - cylindrical coordinate system , discretization , coordinate system , mathematical analysis , fourier transform , spherical coordinate system , wave propagation , geometry , cartesian coordinate system , grid , wave equation , physics , fourier series , spectral method , mathematics , acoustics , optics
SUMMARY We present a spectral method for solving the 2‐D acoustic wave equation in cylindrical coordinates. The method is based on discretization of the wavefield into a grid of r and θ where r is the distance from the centre, and θ is the radial angle. A Chebychev expansion is used to perform derivatives along the r coordinate and a Fourier expansion is used for calculating θ coordinate derivatives. The use of spectral methods in a cylindrical coordinate system enables us to calculate wave propagation in cylindrical type geometries very accurately. The algorithm is tested against problems with known analytical solutions.