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Optimum Shape Design Using Automatic Differentiation in Reverse Mode

机译:在反向模式下使用自动微分的最佳形状设计

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摘要

This paper shows how to use automatic differentiation in reverse mode as a powerful tool in optimization procedures. It is also shown that for aerodynamic applications the gradients have to be as accurate as possible. In particular, the effect of having the exact gradient of he first or second order spatial discretization schemes is presented. We show that the loss of precision in the gradient affects not only the convergence, but also the final shape. Both two and three dimensional configurations of transonic and supersonic flows have been investigated. These cases involve up to several thousand control parameters.
机译:本文展示了如何使用反向模式的自动微分作为优化过程中的强大工具。还显示出,对于空气动力学应用,梯度必须尽可能精确。特别地,呈现了具有一阶或二阶空间离散方案的精确梯度的效果。我们表明,梯度精度的损失不仅影响收敛,而且影响最终形状。已经研究了跨音速和超音速流动的二维和三维结构。这些情况涉及多达数千个控制参数。

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