用SADI方法求解方形空腔中具有高Rayleigh数的非定常自然对流问题
The Numerical Solution of the Unsteady Natural Convection Flow in a Square Cavity at High Rayleigh Number Using SADI Method
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摘要: 本文用三次样条积分计算了在方形空腔中具有高Rayleigh数Ra=107和Ra=2×107的非定常自然对流问题。二维N-S方程和能量方程是在非均匀网格中用两个交替方向的三次样条公式进行计算的。文中简要讨论了过渡流动的主要特征,所得结果与理论予估值[1,2]吻合很好。Ra=107时的稳态结果与近期文献中的结果一致。Abstract: The unsteady natural convection flow in a square cavity at high Rayleigh number Ra=107 and 2×107 has been computed using cubic spline integration. The required solutions to thetwo dimensional Navier-Stokes and energy equations have been obtained using two alternate numerical formulations on non-uniform grids. The main features of the transient flow have been briefly discussed. The results obtained by using the present method are in good agreement-with the theoretical predictions[1,2]. The steady state results have been compared with accurate solutions presented recently for Ra=107.
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