DEVELOPMENT AND VERIFICATION OF OBJECT-ORIENTED HYDRODYNAMIC MODEL BASED ON SYSTEMATIC GRID

Abstract

 Adaptive Mesh Refinement (AMR) and Distributed Memory Parallel (DMP) techniques accompany complexities in storing and updating the information of neighboring cells especially in the case of unstructured grids. In this study, we have proposed the grid system named as “Systematic Grid” to remedy this problem based on the object-oriented design. This grid system employs a hierarchical structure of objects composed of Domain, Block, Element and Connector objects. These objects are designed as units of parallelization, mesh refinement, variable management and data exchange, respectively. The Domain object is the collection of the Block objects and the Element objects with an arbitrary shape and resolution are uniformly embedded in the Block object. Therefore, there always exists a simple grid structure inside the Block object. The connections between these objects are controlled by the Connector objects which absorb the difference in resolution for data communication. We constructed a hydrodynamic models based on the Systematic Grid with the Discontinuous Galerkin (DG) method and applied to advection and wave problems. As a consequence, we obtained reasonable accuracy and efficiency for these problems with the present model.