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A New Efficient Finite Volume Modeling of Small Amplitude Free Surface Flows with Unstructured Grid

A New Efficient Finite Volume Modeling of Small Amplitude Free Surface Flows with Unstructured Grid
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摘要 A staggered finite-volume technique for non-hydrostatic, small amplitude free surface flow governed by the incompressible Navier-Stokes equations is presented there is a proper balance between accuracy and computing time. The advection and horizontal diffusion terms in the momentum equation are discretized by an integral interpolation method on the orthogonal unstructured staggered mesh and, while it has the attractive property of being conservative. The pressure-correction algorithm is employed for the non-hydrostatic pressure in order to achieve second-order temporal accuracy. A conservative scalar transport algorithm is also applied to discretize k - c equations in this model. The eddy viscosity is calculated from the k-c turbulent model. The resulting model is mass and momentum conservative. The model is verified by two examples to simulate unsteady small amplitude free surface flows where non-hydrostatic pressures have a considerable effect on the velocity field, and then applied to simulate the tidal flow in the Bohai Sea. A staggered finite-volume technique for non-hydrostatic, small amplitude free surface flow governed by the incompressible Navier-Stokes equations is presented there is a proper balance between accuracy and computing time. The advection and horizontal diffusion terms in the momentum equation are discretized by an integral interpolation method on the orthogonal unstructured staggered mesh and, while it has the attractive property of being conservative. The pressure-correction algorithm is employed for the non-hydrostatic pressure in order to achieve second-order temporal accuracy. A conservative scalar transport algorithm is also applied to discretize k - c equations in this model. The eddy viscosity is calculated from the k-c turbulent model. The resulting model is mass and momentum conservative. The model is verified by two examples to simulate unsteady small amplitude free surface flows where non-hydrostatic pressures have a considerable effect on the velocity field, and then applied to simulate the tidal flow in the Bohai Sea.
作者 吕彪
出处 《China Ocean Engineering》 SCIE EI CSCD 2013年第4期509-522,共14页 中国海洋工程(英文版)
基金 financially supported by the Science and Technology Project of the Ministry of Transport (Grant No. 2011329224170)
关键词 orthogonal unstructured grid NON-HYDROSTATIC small amplitude free surface flows 3-D numerical model k - ~ turbulent model orthogonal unstructured grid non-hydrostatic small amplitude free surface flows 3-D numerical model k - ~ turbulent model
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