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High-order discretization of the Reynolds stress model with anε_(β)-adaptive algorithm

High-order discretization of the Reynolds stress model with anε_(β)-adaptive algorithm

作     者:Xiang Fu Xiaogang Deng Shengye Wang Shichao Zheng Guangxue Wang 符翔;邓小刚;王圣业;郑世超;王光学

作者机构:College of Aerospace Science and EngineeringNational University of Defense TechnologyChangsha 410073China Chinese Academy of Military ScienceBeijing 100071China School of PhysicsSun Yat-sen UniversityGuangzhou 510275China 

基  金:This work was supported by the National Natural Science Foundation of China(Grant Nos.12002379 and 11972370) the National Key Project(Grant No.GJXM92579) 

出 版 物:《Acta Mechanica Sinica》 (力学学报(英文版))

年 卷 期:2022年第38卷第6期

页      码:81-94,I0002页

摘      要:The Reynolds stress model(RSM)outperforms the eddy viscosity model(EVM)when simulating complex flows and has increased demand for high-order ***,the complexity of the RSM equations results in poor numerical stability and weak convergence *** of the reasons is that the properties of Reynolds stresses are not fully considered in the design of the numerical *** response to this issue,this study develops an adaptive algorithm to adjustε_(β)values(an empirical parameter in nonlinear weights)according to the magnitude and smoothness of the Reynolds *** algorithm is introduced into the fifth-order weighted compact nonlinear scheme(WCNS)and is applied to the high-order discretization of the *** aeronautic test cases are simulated to investigate the performance of the *** numerical results show that,the adaptive algorithm can reduce the residual by up to 3 orders of magnitude and predict the correct weights for gradient *** results confirm that the application of theε_(β)-adaptive algorithm to the high-order discretization of the RSM is beneficial both for enhancing convergence and improving resolution.

主 题 词:WCNS Reynolds stress model Adaptive algorithm Resolution 

学科分类:08[工学] 080101[080101] 0801[工学-力学类] 

核心收录:

D O I:10.1007/s10409-021-09084-x

馆 藏 号:203112101...

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