二次元後方ステップ流れの数値計算

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タイトル別名
  • Numerical Simulation of Two-dimensional Backward-Facing Step Flows.
  • 2ジゲン コウホウ ステップ ナガレ ノ スウチ ケイサン

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A new numerical scheme based on the method of lines is presented for two-dimensional backward-facing step flows. The formulation is based on the vorticity-stream function representation. The spatial discretizations are carried out by the modified differential quadrature (MDQ) method which is of arbitrary orders of spatial accuracy. For the time integration scheme, the fourth-order Runge-Kutta-Gill (RKG) method is used. The Poisson equation is solved by the point Jacobi method for adaptability to vector computers. Additionally, the multi-grid method is used in order to accelerate the convergence. In the first place, laminar flow calculations are carried out to verify the accuracy of the present method. The computed reattachment length shows excellent agreement with other results. The influence of the grid number and the order of spatial accuracy on the numerical solution is also investigated, and the present method is proved to be sufficiently accurate. Next, the turbulent simulation is carried out. It is found that the recirculating vortex splits into several vortices in the reattachment zone, and the chaotic flow which forms the irregular vortex streets occurs behind the reattachment zone.

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