Extension of the One-Shot Method for Optimal Control with Unsteady PDEs
Extension of the One-Shot Method for Optimal Control with Unsteady PDEs
复制标题
非定常偏微分方程最优控制一次性方法的扩展
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Qiqi Wang
中科院分区：
文献类型：
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作者：
Stefanie Günther;N. Gauger;Qiqi Wang
对于用不动点迭代求解的定常偏微分方程，一次性方法是非常有效的优化和控制方法。本文的目的是将一枪法推广到非定常问题，并使其与定常问题一样有效。推导了非定常偏微分方程的优化控制框架，其结构与定常单次法相同。首先给出了非定常reynolds -average Navier-Stokes方程（URANS）单次优化方向的初步结果。以Van der Pol振子为一般模型问题，研究了一种自适应时间尺度方法，证明了经典的非定常问题的一次性效率。
The one-shot approach has proven to be very efficient in optimization and control with steady partial differential equations (PDEs) which are solved by fixed-point iterations. The purpose of this paper is to extend the one-shot method to unsteady problems and to make it as efficient as in steady cases. We derive a framework for optimization and control with unsteady PDEs, whose structure is the same as in the steady one-shot method. First results in the direction of one-shot optimization with unsteady Reynolds-averaged Navier-Stokes equations (URANS) are presented. With the Van der Pol oscillator as a generic model problem, we investigate an adaptive time scaling approach, which demonstrates the classical one-shot efficiency on unsteady problems.