Chinese Journal of Theoretical and Applied Mechanics ›› 2020, Vol. 52 ›› Issue (5): 13341349.DOI: 10.6052/0459187920093
• Fluid Mechanics • Previous Articles Next Articles
Kong Lingfa,Dong Yidao,Liu Wei()
Received:
20200325
Accepted:
20200325
Online:
20200918
Published:
20200917
Contact:
Liu Wei
CLC Number:
Kong Lingfa, Dong Yidao, Liu Wei. THE INFLUENCE OF GLOBALDIRECTION STENCIL ON GRADIENT AND HIGHORDER DERIVATIVES RECONSTRUCTION OF UNSTRUCTURED FINITE VOLUME METHODS ^{1)}[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 13341349.
[1] 
Mavriplis DJ. Unstructured grid techniques. Annual Review of Fluid Mechanics, 1997,29:473547
DOI URL 
[2]  曾扬兵, 沈孟育, 王保国 等. NS方程在非结构网格下的求解. 力学学报, 1996,28(6):641650 
( Zeng Yangbing, Shen Mengyu, Wang Baoguo, et al. Solution of NS equations on unstructured grid. Chinese Journal of Theoretical and Applied Mechanics, 1996,28(6):641650 (in Chinese))  
[3]  王年华, 李明, 张来平. 非结构网格二阶有限体积法中黏性通量离散格式精度分析与改进. 力学学报, 2018,50(3):527537 
( Wang Nianhua, Li Ming, Zhang Laiping. Accuracy analysis and improvement of viscous flux schemes in unstructured secondorder finitevolume discretization. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(3):527537 (in Chinese))  
[4]  Dufresne Y, Moureau V, Lartigue G, et al. A massively parallel CFD/DEM approach for reactive gassolid flows in complex geometries using unstructured meshes. Computers & Fluids, 2020,198:104402 
[5]  王年华, 常兴华, 马戎 等. HyperFlow软件非结构网格亚跨声速湍流模拟的验证与确认. 力学学报, 2019,51(3):813825 
( Wang Nianhua, Chang Xinghua, Ma Rong, et al. Verification and validation of HyperFlow solver for subsonic and transonic turbulent flow simulations on unstructured/hybrid grids. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(3):813825 (in Chinese))  
[6]  Park MA, Balan A, Anderson WK, et al. Verification of unstructured grid adaptation components// AIAA Scitech 2019 Forum, San Diego, 20191711, 2019: 1723 
[7]  邵帅, 李明, 王年华 等. 基于非结构/混合网格模拟黏性流的高阶精度DDG/FV 混合方法. 力学学报, 2018,50(6):14701482 
( Shao Shuai, Li Ming, Wang Nianhua, et al. Highorder DDG/FV hybrid method for viscous flow simulation based on unstructured / hybrid grid. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(6):14701482 (in Chinese))  
[8]  Diskin B, Thomas JL, Nielsen EJ, et al. Comparison of nodecentered and cellcentered unstructured finitevolume discretizations: Viscous fluxes. AIAA Journal, 2010,48:13261338 
[9] 
Diskin B, Thomas JL. Comparison of nodecentered and cellcentered unstructured finitevolume discretizations: Inviscid fluxes. AIAA Journal, 2011,49:836854
DOI URL 
[10]  Jameson A, Mavriplis DJ. Finite volume solution of the twodimensional Euler equations on a regular triangular mesh. AIAA Journal, 1986,24:611618 
[11]  Caraeni D, Hill DC. Unstructuredgrid thirdorder finite volume discretization using a multistep quadratic datareconstruction method. AIAA Journal, 2010,48:808817 
[12]  Schwoppe A, Diskin B. Accuracy of the cellcentered grid metric in the DLR TAUCode. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 2013,121:429437 
[13]  贺立新, 张来平, 张涵信. 间断Galerkin有限元和有限体积. 力学学报, 2007,23(1):1522 
( He Lixin, Zhang Laiping, Zhang Hanxin. Discontinuous Galerkin finite element and finite volume. Chinese Journal of Theoretical and Applied Mechanics, 2007,23(1):1522 (in Chinese))  
[14]  Mavriplis DJ. Multigrid solution of the twodimensional Euler equations on unstructured triangular meshes. AIAA Journal, 1988,26:824831 
[15]  赵辉, 张耀冰, 陈江涛 等. 非结构网格体心梯度求解方法的精度分析. 空气动力学学报, 2019,37(5):844854 
( Zhao Hui, Zhang Yaobing, Chen Jiangtao, et al. Accuracy analysis of the method for solving the cellcentered gradient on unstructured grid. Acta Aerodynamica Sinica, 2019,37(5):844854 (in Chinese))  
[16]  Shima E, Kitamura K, Haga T. Greengauss/weightedleastsquares hybrid gradient reconstruction for arbitrary polyhedra unstructured grids. AIAA Journal, 2013,51:27402747 
[17]  王亚辉, 刘伟, 袁礼 等. 求解二维Euler方程有限单元边插值的降维重构算法. 气体物理, 2019,3:3441 
( Wang Yahui, Liu Wei, Yuan Li, et al. A dimension reduction reconstruction algorithm for solving twodimensional Euler equations with finite element edge interpolation. Physics of Gases, 2019,3:3441 (in Chinese))  
[18]  Moukalled F, Mangani L, Darwish M. The Finite Volume Method in Computational Fluid Dynamics. Berlin: Springer, 2016: 4649 
[19]  张帆. 非结构网格有限体积法的空间离散算法研究. [博士论文]. 大连: 大连理工大学, 2017 
( Zhang Fan. Research on spatial discretization algorithm of unstructured mesh finite volume method. [PhD Thesis]. Dalian: Dalian University of Technology, 2017 (in Chinese))  
[20]  王年华, 张来平, 赵钟 等. 基于制造解的非结构二阶有限体积离散格式的精度测试与验证. 力学学报, 2017,49(3):627637 
( Wang Nianhua, Zhang Laiping, Zhao Zhong, et al. Accuracy verification of unstructured secondorder finite volume discretization schemes based on the method of manufactured solutions. Chinese Journal of Theoretical and Applied Mechanics, 2017,49(3):627637 (in Chinese))  
[21]  Sokolova I, Bastisya MG, Hajibeygi H. Multiscale finite volume method for finitevolumebased simulation of poroelasticity. Journal of Computational Physics, 2019,379:309324. 
[22]  White JA, Nishikawa H, Baurle RA. Weighted leastsquares cellaverage gradient construction methods for The VULCANCFD secondorder accurate unstructured grid cellcentered finitevolume solver// AIAA Scitech 2019 Forum, San Diego, 20191711, 2019: 0127 
[23]  Nishikawa H, White JA. Faceand cellaveraged nodalgradient approach to cellcentered finitevolume method on mixed grids// AIAA Scitech 2020 Forum, Orlando, 20201610, 2020: 1787 
[24]  Nishikawa H. Efficient gradient stencils for robust implicit finitevolume solver convergence on distorted grids. Journal of Computational Physics, 2019,386:486501 
[25]  Barth TJ, Jaespersen DC. The design and application of upwind schemes on unstructured meshes// 27th Aerospace Sciences Meeting, Nevada, 19891912, 1989: 0366 
[26]  Barth TJ. A 3D upwind Euler solver for unstructured meshes// 10th Computational Fluid Dynamics Conference. Hawaii, 199112427, 1991: 1548 
[27]  Jalali A, OllivierGooch CF. Higherorder unstructured finite volume RANS solution of turbulent compressible flows. Computers & Fluids, 2017,143:3247 
[28]  OllivierGooch CF. Analysis of unstructured meshes from GMGW1/HiLiftPW3//2018 AIAA Aerospace Sciences Meeting, Florida. 20181810, 2018: 0132 
[29]  Jalali A, OllivierGooch CF. Higherorder unstructured finite volume methods for turbulent aerodynamic flows// 22nd AIAA Computational Fluid Dynamics Conference, Dallas, 201512226, 2015: 2284 
[30]  Jalali A, OllivierGooch CF. Higherorder leastsquares reconstruction for turbulent aerodynamic flows// 11th World Congress on Computational Mechanics, Spain, 201472025, 2014: 2025 
[31]  Zangeneh R, OllivierGooch CF. Stability analysis and improvement of the solution reconstruction for cellcentered finite volume methods on unstructured meshes. Journal of Computational Physics, 2019,393:375405 
[32] 
OllivierGooch CF, Nejat A, Michalak K. Obtaining and verifying highorder unstructured finite volume solutions to the euler equations. AIAA Journal, 2009,47:21052120
DOI URL 
[33]  Jalali A, OllivierGooch CF. Higherorder finite volume solution reconstruction on highly anisotropic meshes// 21st AIAA Computational Fluid Dynamics Conference, California, 201362427, 2013: 2565 
[34]  Sozer E, Brehm C, Kiris CC. Gradient calculation methods on arbitrary polyhedral unstructured meshes for cellcentered cfd solvers// 52nd Aerospace Science Meeting, Washington DC, 201411317, 2014: 1440 
[35]  Xiong M, Deng XG, Gao X, et al. A novel stencil selection method for the gradient reconstruction on unstructured grid based on OpenFOAM. Computers & Fluids, 2018,172:426442 
[36] 
Mavriplis DJ. An advancing front Delaunay triangulation algorithm designed for robustness. Journal of Computational Physics, 1995,117:90101
DOI URL 
[37] 
Luo SH. A new mesh generation scheme for arbitrary planar domains. International Journal for Numerical Methods in Engineering, 1985,21:14031426
DOI URL 
[38] 
Li XS, Ren XD, Gu CW, et al. Shockstable roe scheme combining entropy fix and rotated Riemann solver. AIAA Journal, 2020,58:779786
DOI URL 
[39]  Roe PL. Characteristicbased schemes for the Euler equations. Annual Review of Fluid Mechanics, 1986,18:337365 
[1]  . PRELIMINARY INVESTIGATION ON UNSTRUCTURED MESH GENERATION TECHNIQUE BASED ON ADVANCING FRONT METHOD AND MACHINE LEARNING METHODS [J]. Chinese Journal of Theoretical and Applied Mechanics, 0, (): 00. 
[2]  . NUMERICAL INVESTIGATION OF THE EVOLUTION OF TWODIMENSIONAL TS WAVES ON AN ANISOTROPIC COMPLIANT WALL [J]. Chinese Journal of Theoretical and Applied Mechanics, 0, (): 00. 
[3]  . The influence of the capsule on the supersonic rigid diskgapband parachute system [J]. Chinese Journal of Theoretical and Applied Mechanics, 0, (): 00. 
[4]  . A FINITE VOLUME METHOD WITH WALSH BASIS FUNCTIONS TO CAPTURE DISCONTINUITY INSIDE GRID [J]. Chinese Journal of Theoretical and Applied Mechanics, 0, (): 00. 
[5]  . The Influence of GlobalDirection Stencil on Gradient and HighOrder Derivatives of Unstructured Finite Volume Methods [J]. Chinese Journal of Theoretical and Applied Mechanics, 0, (): 00. 
[6]  Luo Xin, Wu Songping. AN IMPROVED FIFTHORDER WENOZ+ SCHEME ^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 19271939. 
[7]  Nianhua Wang, Xinghua Chang, Rong Ma, Laiping Zhang. VERIFICATION AND VALIDATION OF HYPERFLOW SOLVER FOR SUBSONIC AND TRANSONIC TURBULENT FLOW SIMULATIONS ON UNSTRUCTURED/HYBRID GRIDS^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 813825. 
[8]  Qiao Chenliang, Xu Heyong, Ye Zhengyin. CIRCULATION CONTROL ON WIND TURBINE AIRFOIL WITH BLUNT TRAILING EDGE [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 135145. 
[9]  Liu Huixiang, He Guoyi, Wang Qi. NUMERICAL STUDY ON THE AERODYNAMIC PERFORMANCE OF THEFLEXIBLE AND CORRUGATED FOREWING OF DRAGONFLY IN GILDINGFLIGHT [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 94102. 
[10]  Shao Shuai, Li Ming, Wang Nianhua, Zhang Laiping. HIGHORDER DDG/FV HYBRID METHOD FOR VISCOUS FLOW SIMULATION ON UNSTRUCTURED/HYBRID GRIDS^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 14701482. 
[11]  Ye Youda, Zhang Hanxin, Jiang Qinxue, Zhang Xianfeng. SOME KEY PROBLEMS IN THE STUDY OF AERODYNAMIC CHARACTERISTICS OF NEARSPACE HYPERSONIC VEHICLES^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(6): 12921310. 
[12]  Wan Yunbo, Ma Rong, Wang Nianhua, Zhang Laiping, Gui Yewei. ACCURATE AEROHEATING PREDICTIONS BASED ON MULTIDIMENSIONAL GRADIENT RECONSTRUCTION ON HYBRID UNSTRUCTURED GRIDS^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 10031012. 
[13]  Zhang Yang, Zou Jianfeng, Zheng Yao. AN IMPROVED GHOSTCELL IMMERSED BOUNDARY METHOD FOR SOLVING SUPERSONIC FLOW PROBLEMS [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 538552. 
[14]  Wang Nianhua, Li Ming, Zhang Laiping. ACCURACY ANALYSIS AND IMPROVEMENT OF VISCOUS FLUX SCHEMES IN UNSTRUCTURED SECONDORDER FINITEVOLUME DISCRETIZATION [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 527537. 
[15]  Tong Fulin, Li Xin, Yu Changping, Li Xinliang. DIRECT NUMERICAL SIMULATION OF HYPERSONIC SHOCK WAVE AND TURBULENT BOUNDARY LAYER INTERACTIONS ^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 197208. 
Viewed  
Full text 


Abstract 

