We are developing a multigrid method to solve Poisson's equation on an embedded boundary grid. We are developing an embedded boundary adaptive mesh refinement code for inviscid gas dynamics. In collaboration with Phil Colella of ANAG and Jeff Saltzman of CIC-19 at LANL . We are developing a projection method to simulate incompressible flow using a composite grid.
Conservation is guaranteed by using a finite volume discretization at the cut cells.
32, No. 7, July 1994. D. L. Modiano, Adaptive Mesh Euler Equation Computation of Vortex Breakdown in Delta Wing Flow , PhD Thesis, MIT, February 1993.