| Summary: | 碩士 === 國立成功大學 === 航空太空工程學系碩博士班 === 90 === A numerical method is developed to simulate the free-surface flows and is used to investigate the effects of different parameters, such as Reynolds number and density ratio. The numerical method is uses a third-order upwind finite-volume method to solve the steady Navier-Stoke equations. The artificial compressibility method is applied in the continuity equations and different kinds of fluid sate described by using the ratio volume of fluid occupied in an unit volume. Because the interface of free surface alikes the front of a shock wave; the slope modification method is used to exactly capture the interface of free surface. Also, the formulas of the speed of rigid body motion is derived to simulate the flow field of rigid body motion.
Several problems are chosen: two dimensional broken dam problem, two dimensional fall droplet, Archimedes’ model, and two dimensional rigid body motion. In the broken dam problem, the effect of Reynolds number is investigated. In the Archimedes’ model, the accuracy of the formulas of the speed of rigid body motion is analyzed.
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