非圧縮性Pipe Flowの数値シミュレ-ション

概要

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Accurate and stable numerical solutions for time convection-dominated fluid flows are urgently required. A calculation procedure to solve the unsteady incompressible three-dimensional Navier-Stokes equations at relatively high Reynolds numbers in arbitrary shapes is presented. The boundary-fitted curvilinear coordinate system is used. The Adams-Bashforth scheme is used for the time integration and a third-order upwind differencing for the convective terms which have an advantage in suppressing the instabilities is used. The third-order method for the space derivatives based on the Quadratic Upstream Interpolation for Convective Kinematics (QUICK) algorithm is used. As an example, the solutions for a time-marching circular-sectioned bended pipe flow at the Reynolds number of 10<SUP>3</SUP> and 5×10<SUP>4</SUP> were obtained. The Taylor-Görtler type secondary vortices and the corner vortices were well caught in these simulations.
社団法人プラズマ・核融合学会の論文