Acoustic wave propagation in 2‐D cylindrical coordinates

David Kessler*, Dan Kosloff

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)577-587
Number of pages11
JournalGeophysical Journal International
Issue number3
StatePublished - Dec 1990


  • Chebychev
  • Fourier
  • cylindrical object
  • numerical solution
  • wave propagation.


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