Generalized Internal Boundaries (GIB)

Representing large scale motions and topological changes in the finite volume (FV) framework, while at the same time preserving the accuracy of the numerical solution, is difficult. In this paper, we present a robust, highly efficient method designed to achieve this capability. The proposed approach conceptually shares many of the characteristics of the cut-cell interface tracking method, but without the need for complex cell splitting/merging operations. The heart of the new technique is to align existing mesh facets with the geometry to be represented. We then modify the matrix contributions from these facets such that they are represented in an identical fashion to traditional boundary conditions. The collection of such faces is named a Generalised Internal Boundary (GIB). In order to introduce motion into the system, we rely on the classical ALE (Arbitrary Lagrangian-Eulerian) approach, but with the caveat that the non-time-dependent motion of elements instantaneously crossing the interface is handled separately from the timedependent component. The new methodology is validated through comparison with a body fitted grid simulation of an oscillating two dimensional cylinder.