Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows
作者机构：School of Aeronautic Science and EngineeringBeihang UniversityBeijing 100191China Laboratory of Aero-thermal Protection Technology for Aerospace VehiclesChina Aerospace Science and Technology CorporationBeijing 100048China School of Aerospace and Mechanical EngineeringUniversity of Southern CaliforniaLos AngelesCA 90089USA Chair of ComputationalMathematics and Simulation SchienceEcole Polytechnique Federale de LausanneLausanne CH-1015Switzerland
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2022年第32卷第8期
页 面：595-637页
核心收录：
学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学]
基 金：supported by the National Natural Science Foundation of China(grant numbers 11972064 and 11721202)
主 题：Projection-based reduced order modeling Fourier collocation artificial viscosity compressible flow
摘 要：A projection-based reduced order model(ROM)based on the Fourier collocation method is proposed for compressible *** incorporation of localized artificial viscosity model and filtering is pursued to enhance the robustness and accuracy of the ROM for shock-dominated ***,for Euler systems,ROMs built on the conservative and the skew-symmetric forms of the governing equation are *** ensure efficiency,the discrete empirical interpolation method(DEIM)is *** alternative reduction approach,exploring the sparsity of viscosity is also investigated for the viscous terms.A number of one-and two-dimensional benchmark cases are considered to test the performance of the proposed *** show that stable computations for shock-dominated cases can be achieved with ROMs built on both the conservative and the skew-symmetric forms without additional stabilization components other than the viscosity model and *** the same parameters,the skew-symmetric form shows better robustness and accuracy than its conservative counterpart,while the conservative form is superior in terms of efficiency.
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