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Solidification of Double-Diffusive Flows Using Thermo-Magneto-Hydrodynamics and Optimization

机译:利用热磁流体力学和优化对双扩散流进行凝固

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摘要

A multilevel approach, based on our previously developed hybrid optimizer, is presented for solving a problem that consists of a solidifying thermosolutal flow in a square cavity subjected to variable thermal and magnetic boundary conditions. The objective is to reduce the standard deviations of the vorticity within the liquid region as well as reduce the liquid area over the entire domain. Thus, the optimization problem is formulated to simultaneously find thermal and magnetic boundary conditions that must induce such prescribed solute concentration and velocity profiles. The optimizer is based on several deterministic and evolutionary techniques with automatic switching among them, combining the best feature of each algorithm. A radial basis function based response surface scheme is implemented to reduce the overall computing time.
机译:提出了一种基于我们先前开发的混合优化器的多级方法,用于解决问题,该问题包括在经受可变热和磁边界条件的方腔中固化热固溶流。目的是减少液体区域内涡度的标准偏差,并减少整个区域内的液体面积。因此,制定了优化问题以同时找到必须引起这种规定的溶质浓度和速度曲线的热和磁边界条件。优化器基于几种确定性和进化技术,它们之间具有自动切换功能,结合了每种算法的最佳功能。实现了基于径向基函数的响应面方案,以减少总体计算时间。

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