NUMERICAL SIMULATION OF FREE SURFACE FLOW BY A VOLUME-OF-FLUID METHOD USING HIERARCHICAL CARTESIAN GRIDS

抄録

Hierarchical Cartesian grids are a practical approach to conducting an efficient flow simulation of complex geometries. These grids are also helpful in simulating a free-surface flow in horizontally broad rivers and flooded areas with complex terrains and hydraulic structures. This paper proposes using block-based hierarchical Cartesian grids for free-surface flow analysis using one-phase volume-of-fluid approach. Special treatments at a refinement interface between adjacent blocks near the free surface, which are related to the liquid-flux calculation and the pressure interpolation, are presented that should be considered in the free-surface analysis with the hierarchical Cartesian grids. The results of two-dimensional numerical tests for flows with wave and advection show that the present numerical method can simulate the free-surface flows correctly the same as regular grids with no refinement interfaces.