Optimal Mixing Enhancement
Optimal Mixing Enhancement
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DOI：
10.1137/16m1091496
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发表时间：
2016-10
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影响因子：
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通讯作者：
G. Froyland;N. Santitissadeekorn
中科院分区：
文献类型：
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作者：
G. Froyland;N. Santitissadeekorn
介绍了一种优化对流流体混合速率的通用方法。在$C^1$邻域内对已有的速度场进行摄动，使该邻域内速度场产生的流的混合率最大化。我们的数值方法是基于流动的无穷小发生器，用标准的线性规划方法求解。扰动流可以很容易地被约束以保持与原始流相同的稳态分布，也可以简单地应用各种自然几何约束。同样的技术也可以通过在小邻域内控制漂移项来优化平流-扩散流模型的混合速率。
We introduce a general-purpose method for optimizing the mixing rate of advective fluid flows. An existing velocity field is perturbed in a $C^1$ neighborhood to maximize the mixing rate for flows generated by velocity fields in this neighborhood. Our numerical approach is based on the infinitesimal generator of the flow and is solved by standard linear programming methods. The perturbed flow may be easily constrained to preserve the same steady state distribution as the original flow, and various natural geometric constraints can also be simply applied. The same technique can also be used to optimize the mixing rate of advection-diffusion flow models by manipulating the drift term in a small neighborhood.