A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguideP. S. Petrov and M. Yu. Trofimov
Il'ichev Pacific Oceanological Institute - Baltiyskaya 43, Vladivostok, 690041, Russia
received 13 May 2008; accepted in final form 7 January 2009; published February 2009
published online 2 February 2009
The time-dependent form of Tappert's range refraction parabolic equation is derived and proposed as an artificial boundary condition for the wave equation in a waveguide. The numerical comparison with Higdon's absorbing boundary conditions shows sufficiently good quality of the new boundary condition at low computational cost.
42.25.Bs - Wave propagation, transmission and absorption.
02.60.Lj - Ordinary and partial differential equations; boundary value problems.
43.20.Bi - General linear acoustics: Mathematical theory of wave propagation.
© EPLA 2009