LAUSR

Abstract Aimed at decreasing the complexity of calculating the intersection of a pair of overlapped interfaces, this paper presents an efficient unified strategy to generate a supermesh for planar, cylindrical, and spherical non-conformal interfaces uniquely, which retains the computational efficiency of a 2-D intersection algorithm. The coordinate transformations for both the cylindrical and spherical interfaces are considered because the nodes of both types of interfaces can be described by two variable coordinates and a constant coordinate. The coordinate transformation of the spherical interfaces is performed by combining the Gnomonic projection and notion of rigid rotation. This task is incorporated in the local-supermeshing approach to generate the supermesh, which is employed as an auxiliary mesh to realize one-to-one addressing between the cells on both sides of the interfaces. Tests are performed to determine the pure geometric error of the supermeshing approach, and the results show the method does not induce additional geometric error. Besides, the accuracy and conservation of the fluxes when applying the supermeshing approach in a particular solver are studied. The results of the full-cycle unsteady simulation of internal combustion engine indicate the feasibility to applying the proposed method to realistic numerical problems.