We present a numerical method to solve free surface flow problems, using the fictitious domain method. Navier-Stokes equations in the original domain and singular perturbed diffusion equations in the fictitious domain are combined to construct distribution Navier-Stokes equations in the analysed domain. At the same time, the distribution evolution equation for the free surface is derived by using the characteristic function of the fictitious domain. The coating problem for magnetic paints is chosen to apply this method.
|Number of pages||10|
|Journal||East-West Journal of Numerical Mathematics|
|Publication status||Published - 1997|