An axially marching numerical method is developed for the simulation of the internal waves produced by the translation of a submersed vehicle in a density-stratified ocean. The method provides for the direct solution of the primitive variables [v, p, ρ] for the nonlinear and steady-state three-dimensional Euler’s equation with a nonconstant density term in the vehicle-fixed cartesian coordinate system. By utilizing a known potential flow around the vehicle for an estimate of the axial velocity gradient, the present parabolic algorithm allows local upstream disturbances and an axial velocity variation.

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