Abstract
In this paper, we propose a new adaptive grid generative method on unstructured grid system for unsteady compressible flows. For unsteady adaptive grid generation, it is important to assure geometric conservation laws on moving grid system according to motion of flow solution. To solve the issue, we adopt volume integration to a control volume on the space-time unified domain. That is, we apply a finite volume method on a moving grid. While, unstructured grid system is flexible and suitable for flows with complex boundary. Thus, an adaptive grid generation method and the moving-grid finite-volume method are combined and developed on unstructured grid system. The method is described for two-dimensional flows and validated using simple test problems. Application to shock-tube problem and supersonic duct flow problem have shown a promising feature of the method.
