High-Order Radiation Boundary Conditions for the Convective Wave Equation in Exterior Domains

High-order Absorbing Boundary Conditions for anisotropic and convective wave equations

“…Using (25) in (12), it is clear that the outgoing solution is identified with the decaying solution corresponding to the ''+" sign in (25).…”

“…All the high-order ABCs mentioned above, with the exception of [25], were developed for time-dependent waves in isotropic stationary media. In the present paper we extend our formulation to anisotropic and subsonically convective media.…”

Artificial boundary conditions for two-dimensional equations of fluid dynamics. 1. Convective wave equation

“…Exact local nonreflecting conditions apparently do not exist in this case. Note that the approach of [16] is extended in [17] to the construction of boundary conditions in convective problems for spherical and cylindrical waves. Finally, local substitution of effective plane waves is also admissible for the investigation of wave interactions with a plane boundary {x = 0}.…”

Exact nonreflecting boundary conditions for three dimensional poroelastic wave equations

“…It was first proposed by Ting and Miksis [55] based on a Kirchhoff integral representation of the solution on a sphere, which results in a computationally expensive method. Extensions have been developed by many researchers [2,25,28,29,31,33,34,35,38,46]. In particular, Grote and Keller developed the exact nonreflecting boundary conditions for the three-dimensional time dependent wave equations based on spherical harmonics [28,29].…”