Applications of the method of flux-corrected transport to generalized meshes

Abstract

A new technique for numerical solution of fluid equations has been developed by combining the Finite-Element Methods with the method of Flux-Corrected Transport. The resulting hybrid method, called FEM-FCT, is useful for problems involving steady and unsteady transonic and supersonic flow irregular geometries. The main computational advance grows out of the need to find a prescription for limiting fluxes through the sides of a triangular or other nonquadrilateral zone when arbitrarily many zones may meet at a given vertex.