基于降阶模型和梯度优化的流场加速收敛方法

doi:10.7527/S1000-6893.2022.27090

Abstract

Abstract:

Computational Fluid Dynamics（CFD）is an important method to solve fluid-related complex engineering problems. The increasing complexity of fluid mechanics research and engineering applications makes it imperative to explore a more efficient and accurate CFD algorithm. A method based on reduced-order model and gradient optimization is proposed to accelerate the convergence process of fluid dynamics solvers. In this method，the reduced-order model is constructed by the snapshots collected from the iterative process of CFD solvers，and the gradient optimization method is then used to minimize the residual of the reduced-order model. Finally，the flow field with lower residual is selected as the initial condition of the CFD solver to accelerate the convergence process of CFD. The method is applied to the CFD solver based on the finite volume method，and the effectiveness of the proposed method is studied for inviscid and turbulence fluids. The results show that the accelerated convergence method can significantly reduce the number of iterative steps by 2⁃3 times compared with the initial CFD method，exhibiting efficiency，robustness，and a wide application prospect in complex engineering problems.

Key words: Computational Fluid Dynamics (CFD), accelerated convergence method, reduced-order model, gradient optimization, finite volume method

CLC Number:

V211.3

Wenbo CAO, Yilang LIU, Weiwei ZHANG. Accelerated convergence method for fluid dynamics solvers based on reduced⁃order model and gradient optimization[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(6): 127090-127090.

Figures/Tables 17

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算法	时间/s	加速比
Initial method	74
ROM-200	50	1.48
ROM-500	49	1.51
ROM-1 000	52	1.42
ROM-2 000	56	1.32

算法	时间/min	加速比
Initial method	153
ROM-Sampling1	52	2.94
ROM-Sampling2	53	2.89
ROM-Sampling3	55	2.78

算法	时间/min	加速比
Initial method	137
ROM-K5-N40	44	3.11
ROM-K10-N20	46	2.97
ROM-K10-N40	39	3.51
ROM-K10-N80	43	3.18

算法	时间/min	加速比
Initial method	177
ROM	90	1.97

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Accelerated convergence method for fluid dynamics solvers based on reduced⁃order model and gradient optimization

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