Abstract
In casting simulation, flow analysis using an irregular grid is required to predict filling pattern in molds of complicated shapes. For treatment of free surface movement, a new technique based on the VOF (volume fraction of fluid) method has been developed using the FVM method. The inclination of free surface in an irregular cell was estimated using the spatial gradient of F value. A criterion to control the numerical false diffusion of F value on the free surface was adopted in the new algorithm. Two-dimensional analyses of free surface movement in a uniform velocity field were performed to check the accuracy and stability of the calculations using different ways to estimate the spatial gradient of F value. The results showed that the proposed method is suitable for free surface movement treatment using an irregular grid, and proper predictions of free surface movement can be realized using the diffusion control criterion. The accuracy and stability of the analyses are greatly affected by the methods for estimating the spatial gradient of F value, especially under high Courant Condition.
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