Three-dimensional flow around a pipeline span shoulder is simulated using afractional step finite element method. The Reynolds number, based on the pipe-diameter and theapproaching flow velocity, is set at 500 and 5 x...Three-dimensional flow around a pipeline span shoulder is simulated using afractional step finite element method. The Reynolds number, based on the pipe-diameter and theapproaching flow velocity, is set at 500 and 5 x 10~5 to simulate both laminar and turbulent flow.In high Reynolds number case, Smagorinsky SGS closure is used to model the turbulent flows. The flowfield visualization by vorticity iso-surfaces shows that a spiral vortex tube is formed around thespan shoulder and extends around the span shoulder. The vortex cores defined by the eigenvalues ofthe symmetric tensor S^2 + Ω~2 (S and Ω are respectively the symmetric and antisymmetric parts ofthe velocity gradient tensor) gives more details of the flow field. It is also found that there aresignificant bed shear stress concentrations in the span shoulder area. The reasons for the shearstress concentration are discussed.展开更多
文摘Three-dimensional flow around a pipeline span shoulder is simulated using afractional step finite element method. The Reynolds number, based on the pipe-diameter and theapproaching flow velocity, is set at 500 and 5 x 10~5 to simulate both laminar and turbulent flow.In high Reynolds number case, Smagorinsky SGS closure is used to model the turbulent flows. The flowfield visualization by vorticity iso-surfaces shows that a spiral vortex tube is formed around thespan shoulder and extends around the span shoulder. The vortex cores defined by the eigenvalues ofthe symmetric tensor S^2 + Ω~2 (S and Ω are respectively the symmetric and antisymmetric parts ofthe velocity gradient tensor) gives more details of the flow field. It is also found that there aresignificant bed shear stress concentrations in the span shoulder area. The reasons for the shearstress concentration are discussed.
