Consistent Boundary Conditions for Numerical Models of Systems that Admit Dispersive Waves

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Abstract
In numerical computation it is often necessary to truncate the region of interest and formulate appropriate boundary conditions. A way of using the Sommerfeld radiation boundary condition for a certain class of initial value problems in dispersive systems is derived. The details of this analysis are given for a continuously stratified fluid in a rotating reference frame. Abstract In numerical computation it is often necessary to truncate the region of interest and formulate appropriate boundary conditions. A way of using the Sommerfeld radiation boundary condition for a certain class of initial value problems in dispersive systems is derived. The details of this analysis are given for a continuously stratified fluid in a rotating reference frame.