An efficient implicit high-order flux reconstruction method by automatic differentiation using operator overloading for flow simulation on unstructured hexahedral grids

Bo Xi Lin, Liang Zhang, Shu Sheng Chen, Bing Li, Zhen Hua Jiang

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

An efficient implicit high-order flux reconstruction/correction procedure via reconstruction method (FR/CPR) is developed to solve the compressible Navier-Stokes equation on unstructured hexahedral grids. The convergence rate of the proposed solver is greatly improved compared to Lower-upper Symmetry Gauss Seidel (LU-SGS) method. The restart GMRES (restarted Generalized Minimal Residual) is used to tackle the linear system by FR/CPR temporal and spatial discretization, and an automatic differential (AD) by operator overloading is proposed to construct the Jacobian matrix of the discretization system. The effects of automatic differential on the convergence rate of the developed implicit scheme have been investigated. Inviscid and viscous test cases are performed to evaluate the performance of the developed implicit solver.

源语言英语
主期刊名2019 IEEE 10th International Conference on Mechanical and Aerospace Engineering, ICMAE 2019
出版商Institute of Electrical and Electronics Engineers Inc.
164-170
页数7
ISBN(电子版)9781728155357
DOI
出版状态已出版 - 7月 2019
已对外发布
活动10th IEEE International Conference on Mechanical and Aerospace Engineering, ICMAE 2019 - Brussels, 比利时
期限: 22 7月 201925 7月 2019

出版系列

姓名2019 IEEE 10th International Conference on Mechanical and Aerospace Engineering, ICMAE 2019

会议

会议10th IEEE International Conference on Mechanical and Aerospace Engineering, ICMAE 2019
国家/地区比利时
Brussels
时期22/07/1925/07/19

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