Other models are being developed as continuations of this project. Biot-Savart's law is used to calculate flow velocities induced by vorticity distributions in the VSs. An evolution equation is derived for time updating vorticity along VSs, including the effects of inertia, gravity, oil and water density differences, and surface tension at the interface. The idealized case of a periodic Kelvin-Helmholtz instability is first solved to test and validate the principal numerical algorithms in the model. Model calculations are found to be both stable and accurate.
Computational results are qualitatively similar to other published results.
Applications of the model to more realistic cases of oil containment by a boom are then presented.