Nonlocal Absorbing Boundary Conditions in Calculation of Internal Gravity Waves Excited by Collapse of Partially Mixed Stratified Medium

The nonlocal boundary conditions are formulated for mathematical modeling of wave dynamics of stratified media; these conditions take into account two substantial physical circumstances: the linear theory is valid at large distances from perturbation sources and there are no other sources of wave perturbations outside the mixing zone of the stratified medium. Using these boundary conditions allows correctly describing outgoing linear internal gravity waves excited by a region of partially mixed stratified medium. It is shown that with the results it is possible to determine the further dynamics of internal gravity waves far away from these perturbation sources by a given distribution of parameters of the stratified medium, assuming the validity of using the linear model of wave dynamics at large distances.