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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >OPEN BOUNDARY CONDITIONS FOR THE STREAMFUNCTION-VORTICITY FORMULATION OF UNSTEADY LAMINAR CONVECTION
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OPEN BOUNDARY CONDITIONS FOR THE STREAMFUNCTION-VORTICITY FORMULATION OF UNSTEADY LAMINAR CONVECTION

机译：非定常层流对流-涡度公式的开放边界条件

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摘要

The streamfunction-vorticity formulation is used to analyze unsteady laminar-convection problems in two dimensional incompressible flows. The Bubnov-Galerkin finite-element method and a sequential procedure are employed to discretize and solve the governing differential equations. Very accurate results are obtained by employing ''advective derivative conditions'' at the outflow for all the variables involved. The boundary conditions for the streamfunction at internal walls are imposed during the assembly process, and the vorticity at inflow and wall boundaries is evaluated in the framework of the streamfunction equation. The accuracy of the approach is demonstrated by the solution of two well-known benchmark problems concerning forced convection over a circular cylinder in crossflow and mired convection in a plane channel heated from below. [References: 23]
机译：流函数涡度公式用于分析二维不可压缩流中的非恒定层流对流问题。采用Bubnov-Galerkin有限元方法和顺序程序离散化并求解了控制微分方程。通过对所有涉及的变量在流出处采用“对流导数条件”，可以获得非常准确的结果。在组装过程中强加了内壁流函数的边界条件，并在流函数方程的框架内评估了流入壁边界处的涡度。该方法的准确性通过解决两个众所周知的基准问题得到了证明，这些问题涉及在横流中圆柱上的强制对流和从下方加热的平面通道中的对流。 [参考：23]

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