The minimum drag profile in laminar flow : a numerical way
The minimum drag profile in laminar flow : a numerical way
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层流中的最小阻力剖面：数值方法
DOI：
10.1115/1.2910298
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发表时间：
1994
影响因子：
2
通讯作者：
R. Ganesh
中科院分区：
文献类型：
--
作者：
R. Ganesh
对于工程师和科学家来说，知道当以恒定速度穿过粘性流体时具有最小阻力的给定体积的物体的形状是感兴趣的。如果能设计出一种能使最小阻力体以合乎逻辑和有序的方式演化的演化程序，那将是非常有用的。这样的程序是由Pironneau提出的层流，其中使用最优控制理论导出的最优性条件用于非线性梯度算法。文献引用了在高雷诺数下的程序的尝试，其中对于演化过程中的每次迭代，流场需要外部和内部解，并且梯度最优性条件的计算需要共态方程（一种边界层方程）的解
It would be of interest to engineers and scientists to know the shape of the body of a given volume that will have minimum drag when moving through a viscous fluid at constant speed. It would be extremely useful if one could devise an evolution procedure that can evolve the minimum drag body in a logical and an orderly manner. Such a procedure was suggested by Pironneau for laminar flow wherein optimality conditions derived using optimal control theory were used in a non-linear gradient algorithm. The literature cites an attempt of the procedure at high Reynolds number where for each iteration in the evolution process, the flow field required an outer and an inner solution and the calculation of the gradient optimality condition required the solution of the co-state equation, a type of boundary layer equation