Fluid Simulation on Surfaces in the GPU

In this paper we present a method to simulate fluids on smooth surfaces of arbitrary topology using a graphics processing unit (GPU). To do this we use the parametrization of Cat mull-Clark subdivision surfaces and obtain the metric information of the distortion caused by this parametrization, so we can calculate differential operators of functions defined on this surface. Then the Navier-Stokes equations on surfaces are solved in the domain of parametrization of each patch. This process can be done in parallel for each point in the discretization of the surface, so the GPU implementation can heavily increase the velocity of computation.