Abstract

Free surface flow can treated by the volume of fluid (VOF) method, but computational results based on coarse grid partitions of the total computational domain (CGPTCD) are unable to describe accurate positions of free surface and the detailed distribution of hydraulic factors adjacent to it, and computational results based on refined grid partitions of the total computational domain(RGPTCD)are very expensive. In this paper, the VOF method based on refined grid partitions of partial domains (RGPPD) is proposed to solve the above problems. First, the total computational domain(TCD) is partitioned by coarse grids, and a coupled mathematical model between k - ɛ model and VOF method is applied to obtain the distribution of volume fraction function. Secondly, the domain where volume fraction function lies between zero and one, is refined, the updated velocity and volume fraction function are calculated based on the RGPPD, and then the accurate position of free surface can be obtained through analysing the distribution of updated volume fraction function. The above method is applied in a 2-D free overflow dam case, whose computational results agree well with test data, showing it is valid, reliable and economical to treat free surface flow with VOF method based on RGPPD.

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