Abstract

We present a software environment, implemented in Matlab, which addresses a sphere moving steadily in a fluid. The sphere leaks solute which is transported through the fluid. The environment allows the fluid flow to be approximated with Stokes' flow, or the Navier–Stokes equations can be solved numerically. Subsequently, the advection–diffusion equation for the concentration of the solute is solved numerically. Our purpose for developing the environment was to investigate solute concentrations around sinking marine snow, but the environment has more general applicability. The allowable parameter range depends on computational ressources; on our PC we investigated Reynolds numbers up to 20 and Peclet numbers up to 20,000. The environment features a graphical user interface which makes it useful to people who have never used Matlab, but the experienced Matlab user can also operate from the command prompt.

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