论文标题

部分可观测时空混沌系统的无模型预测

Numerical analysis of turbulent forced convection and fluid flow past a triangular cylinder with control plate using standard $κ$-$ε$ model

论文作者

Jena, Smruti Ranjan, Naik, Amit Kumar, Dalal, Amaresh, Natarajan, Ganesh

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

Turbulent flow past an equilateral triangular cylinder with splitter plate inserted downstream is numerically tested for different gap ratios (0, 0.5, 1, 1.5, 2) and plate dimensions (0, 1, 1.5) on the flow field and heat transfer characteristics. Unsteady flow simulations are carried out at Re=22,000 in a finite volume based collocated framework, on a two-dimensional unstructured mesh. Reynolds averaged momentum and energy equations are solved in conjunction with the standard $κ$-$ε$ model. In this study, cylinder and control plate are subjected to constant wall temperature. It is observed that the drag force on the triangular cylinder-splitter plate system reduced with an increase in gap ratio. Vortex shedding is suppressed as Strouhal number (St) reduced to its least value for the maximum gap-ratio configuration studied. Heat transfer performance is also significantly improved with the inclusion of a finite gap. In addition to that, the effect of variation in length of the splitter plate has also been studied on the force coefficients, Strouhal number, local and surface averaged Nusselt number. Results show that increasing the length of the splitter plate significantly suppressed the shedding with a minimum frequency obtained for the maximum plate length of Ls/h = 1.5. However, overall heat transfer reduced with the increase in plate length.

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