Comparison of Numerical Schemes for Two-Dimensional Viscous Flow with Free-Surface

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  • Comparison of Numerical Schemes for Two

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The behaviours of the numerical solutions according to the differencing schemes for convection terms in two-dimensional Navier-Stokes equations are investigated. Using the central differencing, the 3rd order upstream differencing (UTOPIA and Kawamura-Kuwahara) and QUICK (Quadratic Upstream Interpolation for Convective Kinematics), pilot computations are carried out for two-dimensional flows in a cavity and around a floating body. The QUICK scheme shows fairly good results in case of flow in a cavity, but the 3rd order upstream differencing schemes show agreeable results in case of flow around a floating body with free-surface.

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