从连续体到自由分子气体流动的伴随形状优化

IF 3.8 2区 物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Ruifeng Yuan, Lei Wu
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引用次数: 0

摘要

提出了一种基于伴随的稀薄气体流和连续气体流固体形状优化方法。采用具有扩散反射边界条件的气体动力学BGK方程来描述多尺度气体流动。在气固界面附近,采用了贴体网格,并采用连续与离散相结合的伴随方法分析了网格对边界几何的敏感性。采用高效的多尺度数值格式求解了原控制方程和伴随控制方程,保证了在所有流型下灵敏度分析的精度。然后将灵敏度数据整合到准牛顿优化算法中,以便快速收敛到最优解。数值实验表明,分子速度空间的离散化会引起灵敏度振荡;然而,这些可以通过采用适当的边界几何参数化有效地消除。在不同程度的气体稀薄情况下优化2D翼型减阻时,我们的方法只需12次优化迭代,在5到20分钟的时间框架内(利用40到160个核心的并行计算)即可实现最佳解决方案,从而突出了其卓越的性能和效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Adjoint shape optimization from the continuum to free-molecular gas flows
An adjoint-based shape optimization method for solid bodies subjected to both rarefied and continuum gas flows is proposed. The gas-kinetic BGK equation with the diffuse-reflection boundary condition is used to describe the multiscale gas flows. In the vicinity of the gas-solid interface, a body-fitted mesh is utilized, and the sensitivity with respect to the boundary geometry is analyzed through a combined continuous and discrete adjoint methods. The primal and adjoint governing equations are resolved using efficient multiscale numerical schemes, ensuring the precision of the sensitivity analysis in all flow regimes. The sensitivity data is subsequently integrated into a quasi-Newton optimization algorithm to facilitate rapid convergence towards the optimal solution. Numerical experiments reveal that the discretization of the molecular velocity space can induce sensitivity oscillations; however, these can be effectively eliminated by employing appropriate parameterization of the boundary geometry. In optimizing 2D airfoils for drag reduction under varying degrees of gas rarefaction, our method achieves the optimal solution in just a dozen optimization iterations and within a time frame of 5 to 20 minutes (utilizing parallel computation with 40 to 160 cores), thereby underscoring its exceptional performance and efficiency.
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来源期刊
Journal of Computational Physics
Journal of Computational Physics 物理-计算机:跨学科应用
CiteScore
7.60
自引率
14.60%
发文量
763
审稿时长
5.8 months
期刊介绍: Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.
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