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A constrained reduced-order method for fast prediction of steady hypersonic flows

机译:一种限制的快速预测稳态超声波流量的约束下降方法

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摘要

A constrained reduced order model (ROM) based on proper orthogonal decomposition (POD) is proposed to achieve fast and accurate prediction of steady hypersonic flows. The proposed method addresses the convergence issue of the projection-based POD ROM which violates the boundary conditions by using a constrained Gauss-Newton iterative process. The constraints in the iteration are formulated by satisfying the physical boundary conditions. To achieve this, a weighting matrix constructed by an improved Gauss weighting function is adopted to determine the contribution of each cell to the constraint term. The proposed constrained reduced-order method is accelerated by a parallel algorithm based on message passing interface (MIN) and load balancing, which makes the method practical for prediction of complex flows with large memory cost. Fast predictions of hypersonic flows over the two-dimensional cylindrical blunt body and the three-dimensional reentry vehicle using the constrained reduced-order method show that the error is significantly smaller than that of the interpolation-based POD ROM and the projection-based POD ROM. Computing efficiency is increased by 2 similar to 3 orders of magnitude compared to CFD. (C) 2019 Elsevier Masson SAS. All rights reserved.
机译:提出了一种基于适当的正交分解(POD)的受约束的减少阶模型(ROM),以实现对稳定超声波流动的快速准确预测。所提出的方法解决了基于投影的POD ROM的收敛性问题,其通过使用约束的Gauss-Newton迭代过程违反边界条件。通过满足物理边界条件来配制迭代中的约束。为了实现这一点,采用改进的高斯加权函数构成的加权矩阵来确定每个小区对约束项的贡献。所提出的约束的缩小顺序方法通过基于消息传递接口(MIN)和负载平衡的并行算法加速,这使得该方法具有大的内存成本的复杂流的预测。使用约束的缩小阶方法快速预测超声波流过二维圆柱钝体和三维再入式车辆,表明误差明显小于基于插值的POD ROM和基于投影的Pod ROM的误差。与CFD相比,计算效率增加到3个数量级。 (c)2019年Elsevier Masson SAS。版权所有。

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