Decoupling of Control and Force Objective in Adjoint-Based Fluid Dynamic Shape Optimization
Decoupling of Control and Force Objective in Adjoint-Based Fluid Dynamic Shape Optimization
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DOI：
10.2514/1.j058376
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发表时间：
2019-02
期刊：
影响因子：
2.5
通讯作者：
Niklas Kuhl;P. M. Muller;A. Stuck;M. Hinze;T. Rung
中科院分区：
文献类型：
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作者：
Niklas Kuhl;P. M. Muller;A. Stuck;M. Hinze;T. Rung
我们讨论了用于评估流体在物体上的流动力的外部和经典内部替代方法。讨论的目的是减少总形状导数，通过外部方法的控制和目标的解耦来实现。在这种情况下，几何和对流对形状导数的贡献消失了。对流的贡献取决于原始物理，可能会消失，而几何分量则不是这样。后者可以解释为工业应用中固有的曲率。用伴随系统可以有效地确定目标泛函的剩余局部导数，该系统与经典方法仅在边界条件上有所不同，类似于ALE策略。暴露于重力下的二维流动说明了外部方法的特征，由此，从二阶有限差分研究中仔细导出的导数被用来验证结果。
We discuss exterior and classical interior alternatives for evaluating fluid flow induced forces on bodies. The discussion aims at a reduction of the total shape derivative, achieved through a decoupling of control and objective in the exterior approach. In this case, geometric as well as convective contributions to the shape derivative vanish. Convective contributions depend on primal physics and may disappear, which is not the case for geometric components. The latter can be interpreted as curvatures immanent to industrial applications. The remaining local derivative of the objective functional can be determined efficiently with an adjoint system, that differs to the classical approach in its boundary conditions only and resembles an ALE strategy. A two-dimensional flow exposed to gravity illustrates the features of the exterior approach, whereby carefully derived derivatives from a second order Finite-Difference study were used to validate the results.