A New Volume of Fluid Advection Algorithm: The Stream Scheme

A new VOF advection algorithm is presented, termed the Stream scheme. The algorithm uses a linear piecewise method for free surface reconstruction, coupled to a unique fully multidimensional method of cell boundary flux integration. The performance of the new algorithm is compared against other VOF advection algorithms using a variety of standard advection tests. In general, the performance of the Stream scheme appears superior to existing multidimensional and dimensionally split advection algorithms.