Abstract
In a simulation of multi phase fluid dynamics by volume of fluid method, numerical diffusion in advection is one of the major problems in an accurate prediction of the interface between the fluids. This paper proposes a new method, an anti-numerical diffusion (AND) filter, to correct the diffused scalar function after the advection. Supposed that the volume of fluid function should be between 0 and 1, AND filter transmit scalar value along with local gradient of scalar function to correct numerical diffused scalar distribution. One and two dimensional advection benchmark tests are carried out to validate the proposed method. The results show the effectiveness of AND filter.