Oil spill at sea based on non-hydrostatic three-dimensional hydrodynamic mathematical model

A non-hydrostatic three-dimensional hydrodynamic mathematical model for solving three-dimensional free-surface flow based on unstructured grid was established. The model used a planar unstructured grid and a vertical stratified grid. The model equations were discretized by the finite volume method and the finite difference method, and the simulation results of the tidal process were in good agreement with the measured data after the comparison validation. Based on the calculation results of three-dimensional surface flow field and the consideration of the migration and diffusion range of oil film under the action of real-time wind field and flow field, a mathematical model of oil spill at sea was established. The three-dimensional hydrodynamic mathematic model under non-hydrostatic assumption is suitable for solving free-surface hydrodynamic problems under complicated conditions, which can be used to simulate the diffusion process of oil spills as well as the leakage of harmful substances whose density is close to the oil.