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Numerical Prediction of Liquid-Solid Turbulent Flows on Moving Boundaries with ALE Method

Satoru Ushijima
Dept. of Global Environment Engineering, Kyoto University Kyoto, 606-8501, Japan; ACCMS, Kyoto University, Japan

Iehisa Nezu
Dept. of Global Environment Engineering, Kyoto University Kyoto, 606-8501, Japan


A computational method has been proposed to predict liquid-solid turbulent flows on moving bottom boundaries. The two-phase flows are numerically predicted with a two-equation turbulence model which is derived from a liquid-solid two-fluid model. This numerical model includes an algebraic equation for the turbulence energy in a dispersed phase as well as the transport equations for turbulence energy and its dissipation rate in a liquid phase.
The profiles of the bottom boundaries are represented with curvilinear coordinates. The coordinates are regenerated at the appointed time steps to respond to the unsteady deformation of the boundaries, while the internal grid points are rearranged on the basis of the arbitrary Lagrangian-Eulerian (ALE) formulation. Accordingly, the interaction between the two-phase flows and the deformation of boundary shapes is reasonably taken into account in the present method.
This computational method was applied to the deformation of the sand bed profiles caused by horizontal turbulent jet flows. As a result, it was shown that the predicted bed profile on the center line, including the deeply scoured area, is in good agreement with the measurements.