EI、Scopus 收录
中文核心期刊
Wan Yunbo, Ma Rong, Wang Nianhua, Zhang Laiping, Gui Yewei. ACCURATE AERO-HEATING PREDICTIONS BASED ON MUL-TI-DIMENSIONAL GRADIENT RECONSTRUCTION ON HYBRID UNSTRUCTURED GRIDS1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 1003-1012. DOI: 10.6052/0459-1879-18-082
Citation: Wan Yunbo, Ma Rong, Wang Nianhua, Zhang Laiping, Gui Yewei. ACCURATE AERO-HEATING PREDICTIONS BASED ON MUL-TI-DIMENSIONAL GRADIENT RECONSTRUCTION ON HYBRID UNSTRUCTURED GRIDS1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 1003-1012. DOI: 10.6052/0459-1879-18-082

ACCURATE AERO-HEATING PREDICTIONS BASED ON MUL-TI-DIMENSIONAL GRADIENT RECONSTRUCTION ON HYBRID UNSTRUCTURED GRIDS1)

  • Received Date: March 18, 2018
  • The prediction of hypersonic aerodynamic environment is highly sensitive to numerical algorithms and computational grids. Due to the geometry complexity of modern lifting-body hypersonic vehicles, the time cost of generating high quality structured grids increases horribly, and it is difficult to meet the need of engineering applications. In order to shorten the task cycle, it is necessary to develop numerical methods for accurate aero-heating prediction on hybrid unstructured grids, due to the capability for complex configurations. Gradient reconstruction method is one of the important factors influencing the accuracy of heat flux prediction on unstructured grids. In this work, a multi-dimensional gradient reconstruction was introduced into the second-order cell-centered unstructured finite-volume solver developed by the authors, and compared with the widely used Green-Gauss methods and least squares methods in aerodynamic force simulations. The benchmark cases of hypersonic flows over a 2D cylinder, were tested to validate the multi-dimensional approach. The numerical results demonstrate that the multi-dimensional approach can improve the accuracy of aero-heating prediction and the convergence performance. Finally, the multidimensional gradient reconstruction method is applied to predict the heat flux over a 3D cylinder and the double ellipsoid configuration on the general hybrid grids. The numerical results agree well with experimental data, which demonstrates the potential capability for complex engineering applications.
  • [1] Slotnick J, Khodadoust A, Alonso J, et al. CFD vision study: A path to revolutionary computational aerosci-ences. NASA/CR-2014-218178, 2014
    [2] Baker TJ.Mesh generation: Art or science? Progress in Aerospace Science , 2005, 41: 29-63
    [3] Gnoffo PA White JA. Computational aerothermodynamics simulation issues on unstructured grids. AIAA Paper 2004-2371, 2004
    [4] Nompelis I, Drayna TW, Candler GV. Development of a hybrid unstructured implicit solver for the simulation of reacting flows over complex geometries. AIAA Paper 2004-2227, 2004
    [5] Candler GV, Barnhardt MD, Drayna TW, et al. Unstructured grid approaches for accurate aeroheating simulations. AIAA Paper 2007-3959, 2007
    [6] Mazaheri AR, Kleb B. Exploring hypersonic, unstructured grid issues through structured grids. AIAA Paper 2007-4462, 2007
    [7] McCloud PL. Best practices for unstructured grid shock fitting. AIAA Paper 2017-1149, 2017
    [8] Gnoffo PA. Simulation of stagnation region heating in hypersonic flow on tetrahedral grids. AIAA Paper 2007-3960, 2007
    [9] Gnoffo PA. Multi-dimensional, inviscid flux reconstruction for simulation of hypersonic heating on tet-rahedral grids. AIAA Paper 2009-0599, 2009
    [10] Gnoffo PA. Updates to multi-dimensional flux reconstruction for hypersonic simulations on tetrahedral. AIAA Paper 2010-1271, 2010
    [11] Gnoffo PA.Challenges to computational aerothermodynamic simulation and validation for planetary entry vehicle analysis. NASA RTO-EN-AVT- 186, 2010
    [12] Gnoffo PA. Functional equivalence acceptance testing of FUN3D for entry descent and landing applications. AIAA Paper 2013-2558, 2013
    [13] 原志超. 高超声速气动热数值模拟研究. [博士论文] 大连: 大连理工大学, 2017
    [13] (Yuan Zhichao.Numencal simulation research on hypersonic aero-heating. [PhD Thesis]. Dalian: Dalian Univesity of Technology, 2017 (in Chinese))
    [14] Davis SF.A rotationally biased upwind difference scheme for the Euler equations. Journal of Com-putational Physics , 1984, 56(1): 65-92
    [15] Levy DW, Powell KG, Van Leer Bram.Use of a rotated Riemann solver for the two-dimensional Euler equations. Journal of Computational Physics , 1993, 106: 201-214
    [16] Nishikawa H, Kitamura K.Very simple, Carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers. Journal of Computational Physics , 2008, 227: 2560-2581
    [17] Holmes D, Connell S. Solution of the 2D Navier-Stokes equations on unstructured adaptive grids. AIAA Paper 1989-1548, 1989
    [18] Kim SE, Makarov B, Caraeni D. A multi-dimensional linear reconstruction scheme for arbitrary unstructured grids. AIAA Paper 2003-3990, 2003
    [19] Park JS, Kim C.Multi-dimensional limiting process for finite volume methods on unstructured grids. Computers and Fluids , 2012, 65: 8-24
    [20] Li W, Ren YX. Lei GD, et al.The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids. Journal of Computational Physics , 2011, 230(21): 7775-7795
    [21] Li W, Ren YX.The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes. Journal of Computational Physics , 2012, 231(11):4053-4077
    [22] 赫新, 赵钟, 张来平. 大型通用CFD软件体系结构与数据结构研究. 空气动力学学报, 2012, 30(5): 557-565
    [22] (He Xin, Zhao Zhong, Zhang Laiping.Research of general large scale CFD software architecture and data structure. Acta Aerodynamica Sinica , 2012, 30(5): 557-565 (in Chinese))
    [23] He X, Zhao Z, Zhang LP.The research and development of structured-unstructured hybrid CFD software. Transactions of Nanjing University of Aeronautics & Astronautics , 2013, 30(sup): 116-126
    [24] 赵钟, 赫新, 张来平. HyperFLOW软件数值模拟Trap Wing高升力外形. 空气动力学学报, 2015, 33(5): 594-602
    [24] (Zhao Zhong, He Xin, Zhang Laiping.Numerical research of NASA high-lift Trap Wing model based on Hyper-FLOW. Acta Aerodynamica Sinica , 2015, 33(5): 594-602 (in Chinese))
    [25] Van Leer B.Flux-vector splitting for the Euler equations. Numerical Methods in Fluid Dynamics , 1982, 170: 507-512
    [26] Venkatakrishnan V.Convergence to steady state solutions of the Euler equations on unstructured grids with limiters. Journal of Computational Physics , 1995, 118: 120-130
    [27] Shima E, Kitamura K, Haga T.Green-Gauss/weighted-least-squares hybrid gradient reconstruction for arbitrary polyhedral unstructured grids. AIAA Journal , 2013, 52(11): 2740-2747
    [28] 万云博, 马戎, 王年华等. Venka-takrishnan限制器对非结构/混合网格二阶精度有限体积法热流预测精度的影响. 空气动力学学报, 2018 (已录用)
    [28] (Wang Yunbo, Ma Rong, Wang Nianhua, et al. Assessment of Venkatakrishnan limiter on hypersonic aeroheating predictions for second order finite volume methods on unstructured/hybrid grids. Acta Aerodynamica Sinica, 2018 (accepted)(in Chinese))
    [29] Fay JA, Riddell FR.Theory of stagnation point heat transfer in dissociated air. Journal of the Aerospace Sciences , 1985, 25(2): 73-85
    [30] Wieting A.R. Experimental study of shock wave interference heating on cylindrical leading edge.NASA TM-100484, 1987
    [31] 李素循. 典型外形高超声速流动特性. 北京: 国防工业出版社, 2007: 63-71
    [31] (Li Suxun.Hypersonic Characteristic of Typical Con-figuration. Beijing: National Defense Industry Press, 2007: 63-71 (in Chinese))
  • Related Articles

    [1]Zhang Haili, Zhang Yaodong, Qiu Haiyun, Chen Qianxun, Xu Yuyang, Zhou Ling. PERCEPTUAL BOUNDARY EXTERNAL FLOW FIELD RECONSTRUCTION METHOD BASED ON CROSS-TIME STEP SOLUTION FORMAT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(5): 1272-1285. DOI: 10.6052/0459-1879-24-466
    [2]Yuan Guangyao, Wang Junsong, Zhao Xuanlie, Geng Jing. RECONSTRUCTION OF THE FLOW FIELD AROUND A CYLINDER IN A TWO-DIMENSIONAL SHEAR FLOW BASED ON PINN[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(2): 436-452. DOI: 10.6052/0459-1879-24-417
    [3]Li Tianyi, Buzzicotti Michele, Biferale Luca, Wan Minping, Chen Shiyi. RECONSTRUCTION OF TURBULENT DATA WITH GAPPY POD METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(10): 2703-2711. DOI: 10.6052/0459-1879-21-464
    [4]Fan Liheng, Wang Dongdong, Liu Yuxiang, Du Honghui. A FINITE ELEMENT COLLOCATION METHOD WITH SMOOTHED NODAL GRADIENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(2): 467-481. DOI: 10.6052/0459-1879-20-361
    [5]Kong Lingfa, Dong Yidao, Liu Wei. THE INFLUENCE OF GLOBAL-DIRECTION STENCIL ON GRADIENT AND HIGH-ORDER DERIVATIVES RECONSTRUCTION OF UNSTRUCTURED FINITE VOLUME METHODS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1334-1349. DOI: 10.6052/0459-1879-20-093
    [6]Dong Rongrong, Zhang Chao, Zhang Yaoming. A NEW METHOD FOR SOLVING THE GRADIENT BOUNDARY INTEGRAL EQUATION FOR THREE DIMENSIONAL POTENTIAL PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(2): 472-479. DOI: 10.6052/0459-1879-19-308
    [7]Tang Wenzhi, Xiao Hanbin, Zou Sheng. APPLICATION OF DISCONTINUOUS DIGITAL IMAGE CORRELATION IN CRACK RECONSTRUCTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(4): 1101-1109. DOI: 10.6052/0459-1879-19-098
    [8]Manman Zhang, Jiao Sun, Wenyi Chen. AN INTERFACE TRACKING METHOD OF COUPLED YOUNGS-VOF AND LEVEL SET BASED ON GEOMETRIC RECONSTRUCTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 775-786. DOI: 10.6052/0459-1879-18-439
    [9]Liu Yilang, Zhang Weiwei, Jiang Yuewen, Ye Zhengyin. A RECONSTRUCTION METHOD FOR FINITE VOLUME FLOW FIELD SOLVING BASED ON INCREMENTAL RADIAL BASIS FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(5): 694-702. DOI: 10.6052/0459-1879-14-028
    [10]Junbo Zhang, Xikui Li. A mesh-free method based on linear complementary model for gradient plasticity continuum[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 888-897. DOI: 10.6052/0459-1879-2009-6-2008-376
  • Cited by

    Periodical cited type(2)

    1. 万云博,马戎,王年华,张来平,桂业伟. 多维迎风方法在非结构/混合网格热流计算中的应用研究. 计算力学学报. 2019(01): 35-42 .
    2. 范纪华,陈立威,王明强,章定国,杜超凡. 旋转中心刚体-FGM梁刚柔热耦合动力学特性研究. 力学学报. 2019(06): 1905-1917 . 本站查看

    Other cited types(2)

Catalog

    Article Metrics

    Article views (1257) PDF downloads (280) Cited by(4)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return