Numerical Integration and Interpolation in Marine Pollutant Transport Modelling
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2018Metadata
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AMOP Technical Seminar on Environmental Contamination and ResponseAbstract
Transport modelling of oil and other chemicals in the ocean relies on information on curret velocity as a function of position and time, v(x, t). These data will in many cases be supplied from an ocean circulation model, which produces a velocity field with vectors given at discrete points on a four-dimensional grid. If we consider for simplicity a passive tracer that moves with the water velocity at its position, then calculating the trajectory of the tracer, x(t), starting from a position x_0 when t = 0, can be done by numerically integrating the differential equation x = v(x, t), with the initial condition x(t = 0) = x0.