DISCRETE FORM OF THE GCL FOR MOVING MESHES AND ITS IMPLEMENTATION IN CFD SCHEMES

The geometric conservation laws (GCL) play a fundamental role in computational fluid dynamics when using moving or even non-moving grids. In this paper, a methodology which represents the GCL in discrete forms in flow solvers is presented. The volumetric change of an arbitrarily moving control cell in multidimensions is obtained following the exact solution of the volumetric increments along the faces. The results can be applied to finite-volume and finite-difference methods.