ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES

The adaptive Open Boundary Condition (OBC) designed by Chen and the author is extended to cover the cases of dispersive waves. The design was based on a kind of dispersive solutions and an "Equivalent Wave Velocity" was introduced. The latter was derived from dispersive relation ω= ω(k) by Taylor expansion locally. A couple of different kinds of OBC are obtained, which can be used to the numerical computation of dispersive waves, especially, dispersive water waves. Two examples which have exact solutions ar...