A gradient augmented level set method for unstructured grids

We present and test a gradient augmented level set method for unstructured grids, which has been designed to allow for easy integration in parallel flow solvers. The means to this end is a Hermite formulation, where the gradient is stored and advected as an independent variable, along with the level set function. The method uses narrow-band storage in conjunction with a Fast Marching Method, which is also designed to take advantage of the gradient augmentation. We demonstrate through standard passive advection test cases that the proposed method is able to compute interface motion with performance comparable to popular high-performing methods on structured grids.