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2009/9-2011/4,法国里昂中央理工大学,博士后,合作导师:F. Lebeouf












· L. Fang, X.Y. Sun, and Y.W. Liu.A criterion of orthogonality onthe assumption and restrictions in subgrid-scale modelling of turbulence.Physics Letters A,380(47): 3988-3992 (2016) (SCI)

· L. Fang, Y.J. Zhang, J. Fang, and Y.Zhu.Relation of the fourth-order statistical invariants ofvelocity gradient tensor in isotropic turbulence.Physical Review E,94(2): 023114 (2016) (SCI)

· L. Fang, J.C. Marongiu, J. Leduc, A.Amicarelli, and J. Caro. A high-order SPH method by introducing inversekernels.Chinese Journal of Aeronautics, accepted (2016) (SCI)

· Z.C. Qin,L.Fang, and J. Fang.How isotropic are turbulent flows generated by using periodic conditions ina cube?PhysicsLetters A,380(13): 1310-1317 (2016) (SCI)

· Y.W. Liu,H. Yan,L. Fang, L.P. Lu, Q.S. Li, and L. Shao.Modified k-omega model using kinematic vorticity forcorner separation in compressor cascade.Science China Technological Sciences. 59(5):795-806 (2016) (SCI)

· L. Fang, F.Y. Liu, S. Chen, and J.Z.Wu.The SPH-EL method for the simulation of the interactionbetween water drops and solid wall.Journal of Modern MechanicalEngineering and Technology,2(2): 55-60 (2015)

· L. Fang, W.J.T. Bos, and G.D. Jin,Short-time evolution of Lagrangian velocity gradientcorrelations in isotropic turbulence,Physics of Fluids, 27:125102 (2015) (SCI)

· M.W. Ge,L.Fang, and D. Tian,Influence of Reynolds number on multi-objective designof a wind turbine blade in the aspect of aerodynamics.PloS one, 10(11):E0141848 (2015) (SCI)

· L. Fang, Y. Zhu, Y.W. Liu, and L.P.Lu,Spectral non-equilibrium property in homogeneousisotropic turbulence and its implication in subgrid-scale modeling,Physics Letters A, 379(38),2331-2336 (2015) (SCI)

· W.J.T. Bos,andL. Fang,Dependency of turbulent advection on the Lagrangiancorrelation time,Physical Review E, 91, 043020 (2015) (SCI)

· Y.S. Ma,L.Fang, and Y. Wang,Advances of some recent mechanical models on emergencyevacuation,Journal of Modern Mechanical Engineering and Technology, 1(1): 25-30(2014)

· L. Fang,Correlation between large- and small-scale velocity components underFourier filters,Theoretical & Applied Mechanics Letters, 4(6):10-062008 (2014)

· L. Fang, L. Shao, and J.P. Bertoglio,Recent understanding on the subgrid-scale modeling oflarge-eddy simulation in physical space,Science China Physics, Mechanics& Astronomy, 57(12): 2188-2193 (2014) (SCI)

· L. Fang, J.Z. Wu, and Y.W. Liu,Inverse SPH method: a new method for restoringhigh-order consistency,Energy Education Science and Technology Part A,32(6): 4839-4848 (2014) (EI)

· S. Chen,L.Fang, and B. Qu,A numerical method for tracking the deformation of fluid particles,Applied Mechanics andMaterials, 556-562: 3752-3755 (2014) (EI)

· F.Y. Liu,L.Fang,A Local regrouping method in the 2D SPH simulation.Applied Mechanics andMaterials, 556-562: 3756-3759 (2014) (EI)

· L. Fang, B. Li, and L.P. Lu,Scaling law of resolved-scale isotropic turbulence andits application in large-eddy simulation,Acta Mechanica Sinica, 30(3),339-350 (2014) (SCI)

· H. Yan,Y.W. Liu,L. Fang, and L.P. Lu,Modificationof Spalart-Allmaras turbulence model for predicting S825 airfoil aerodynamicperformance,Applied Mechanics and Materials, 543-547:189-194 (2014) (EI)

· S.Y. Yao,L. Fang, J.M. Lv, J.Z. Wu, and L.P. Lu,Multiscale three-point velocity increment correlation in turbulent flows,Physics Letters A,378(11-12), 886-891 (2014) (SCI)

· Y.S. Jiang,L. Fang, X.D. Jing, X.F. Sun, and F. Leboeuf,A second-order numerical method for elliptic equationswith singular sources using local filter,Chinese Journal of Aeronautics,26(6), 1398-1408 (2013) (SCI)

· L. Fang, M.W. Ge, and J.Z. Wu,Comment on "A self-adjusting flow dependentformulation for the classical Smagorinsky model coefficient",Physics of Fluids,25(9), 099101 (2013) (SCI)

· W.J.T. Bos,R. Rubinstein, andL. Fang,Reduction of mean-square advection in turbulent passivescalar mixing,Physics of Fluids, 24(7), 075104 (2012) (SCI)

· L. Fang, Y.W. Liu, G.Q. Jing, and S.J.Huang,Review of some recent patents on the Large-EddySimulation technique in turbulence,Recent Patents on MechanicalEngineering, 5, 89-95 (2012) (EI)

· L. Fang, W.J.T. Bos, L. Shao, and J.P.Bertoglio,Time-reversibility of Navier-Stokes turbulence and itsimplication for subgrid scale models,Journal of Turbulence, 13(3),1-14 (2012) (SCI)

· Y.W. Liu,L.P. Lu,L. Fang, and F. Gao,Modification of Spalart-Allmarasmodel with consideration of turbulence energy backscatter using velocityhelicity,Physics Letters A, 375(24), 2377-2381 (2011) (SCI)

· A.Amicarelli, J.C. Marongiu, F. Leboeuf, J. Leduc, M. Neuhauser,L. Fang,and J. Caro,SPH truncation error in estimating a 3D derivative,International Journal forNumerical Methods in Engineering, 87(7), 677-700 (2011) (SCI)

· W.J.T. Bos,R. Rubinstein, andL. Fang,Depletion of advection in turbulent scalar mixing,Journal of Physics:Conference Series, 318, 052037 (2011) (EI)

· L. Fang,A new dynamic formula for determining the coefficient ofSmagorinsky model, Theoretical & Applied Mechanics Letters,1(3), 032002 (2011)

· Y. Wei, S.Cotin, J. Allard,L. Fang, C. Pan, and S. Ma,Interactive blood-coil simulation in real-time duringaneurysm embolization,Computers & Graphics, 35(2),422-430 (2011) (SCI)

· L. Fang, L. Shao, J.P. Bertoglio, L.P.Lu, and Z.S. Zhang,The rapid-slow decomposition of the subgrid flux ininhomogeneous scalar turbulence,Journal of Turbulence, 12(8),1-23 (2011) (SCI)

· L. Fang, W.J.T. Bos, X. Zhou, L. Shao,and J.P. Bertoglio,Corrections to the scaling of the second-order structurefunction in isotropic turbulence,Acta Mechanica Sinica, 26(2), 151(2010) (SCI)

· Y. Wei, S.Cotin,L. Fang, J. Allard, C. Pan, and S. Ma,Real-time simulation of blood flow andcoil interactions during aneurysm embolization,Lecture Notes in ComputerScience, 5761, 198-205 (2009) (EI)

· L. Fang, L. Shao, J.P. Bertoglio, G.X.Cui, C.X. Xu, and Z.S. Zhang,An improved velocity increment model based on Kolmogorovequation of filtered velocity,Physics of Fluids, 21(6),065108 (2009) (SCI)

· G.X. Cui,C.X. Xu,L. Fang, L. Shao, and Z.S. Zhang,A new subgrid eddy-viscosity modelfor large-eddy simulation of anisotropic turbulence,Journal of Fluid Mechanics,582:377-397 (2007) (SCI)

· L. Fang, G.X. Cui, C.X. Xu, and Z.S.Zhang,Multi-scale analysis of energy transfer in scalarturbulence,Chinese Physics Letters, 22:2877-2880 (2005) (SCI)

· 秦泽聪,方乐,一种改进的均匀各向同性湍流初始化方法,力学学报, 48(6):1319-1325 (2016) (EI)

Z.C. Qin,L. Fang, An improved method forinitializing homogeneous isotropic turbulent flows.Chinese Journal ofTheoretical and Applied Mechanics. 48(6):1319-1325 (2016)

· 方乐,金雪夫,王思远,王颖,基于势能网格的人群流动模型及其在渠化效应中的应用,系统仿真学报, accepted (2016)

L. Fang, X.F. Jin, S.Y. Wang,and Y. Wang, Pedestrian Flow Simulation Model based on Potential Grid andits Application to Lane Formation Phenomenon,Journal of System Simulation,accepted (2016)

· 方乐,葛铭纬,柳阳威,从单摆看空间的升降维现象,物理与工程, accepted (2016)

L. Fang, M.W. Ge, and Y.W. Liu, From pendulum to thechange of spatial dimension,Physics and Engineering, accepted (2016)

· 徐华京,张巍,张东方,方乐,BP神经网络在锅炉汽包水位自动调节系统中的应用,河北工业大学学报, 42(5): 22-26 (2013)

H.J. Xu, W. Zhang,L. Fang, and D.F. Zhang,Application of BP neural network for the automatic control system of waterlevel in boiler barrel (in Chinese),Journal of Hebei University ofTechnology, 42(5): 22-26 (2013)

· 王璐,牛薇,方乐,张浩,陈赫威,基于计算几何的新型红外式触摸屏多点触摸识别算法,中南大学学报, 44(S2): 300-303 (2013) (EI)

L. Wang, W. Niu,L. Fang, H. Zhang, and H.W. Chen, Anew multi-touch recognition algorithm for infrared touch screen based oncomputational geometry (in Chinese),Journal of Central South University ofTechnology, 44(S2): 300-303 (2013)

· 文晓庆,柳阳威,方乐,陆利蓬,提高 k-omega SST模型对翼型失速特性模拟能力的研究,北京航空航天大学学报, 39(8): 1127-1132 (2013) (EI)

X.Q. Wen, Y.W. Liu,L. Fang, and L.P. Lu, Improvingthe capability of k-ωSST turbulence model forpredicting stallcharacteristics of airfoil (inChinese),Journal of Beijing Universityof Aeronautics and Astronautics, 39(8): 1127-1132 (2013)

· 方乐,一种基于过滤和反卷积的新型高阶浸没边界法,应用数学和力学, 34(8): 807-814 (2013)

L. Fang, A novel high-order immersed boundary methodbased on filter and deconvolution operation (in Chinese),AppliedMathematics and Mechanics, 34(8): 807-814 (2013)

· 方乐,洪洁瑛,弱非均匀Voronoi图细胞面积/体积的快速近似算法,数值计算与计算机应用, 32(2): 135-142. (2011)

L. Fangand J.Y. Hong, A rapid approximate algorithmfor computing the areas / volumes of the cells in weakly inhomogeneous Voronoidiagram (in Chinese).Journal of numerical methods and computer applications.32(2): 135-142. (2011)

· 马威,方乐,邵亮,陆利蓬,可解尺度各向同性湍流的标度律,力学学报, 43(2): 267-276 (2011) (EI)

 W. Ma,L. Fang, L.Shao, and L.P. Lu. Scaling Law of Resolved-Scale Isotropic Turbulence (inChinese).Chinese Journal of Theoretical and Applied Mechanics. 43(2):267-276. (2011)

· 方乐,杨云柯,王洪涛,洪洁瑛,全场离散Tophat过滤操作的快速算法,数值计算与计算机应用, 30(3):218-224 (2009)

L. Fang, Y.K. Yang, H.T. Wang, and J.Y. Hong. A rapidalgorithm for Tophat filter operator in discrete field (in Chinese).Journalof numerical methods and computer applications. 30(3):218-224 (2009)

· 方乐,崔桂香,许春晓,张兆顺,标量湍流的能量传输特性,计算物理, 23(6):692-698 (2006) (EI)

L. Fang, G.X. Cui, C.X. Xu, and Z.S. Zhang. Energytransfer in scalar turbulence (in Chinese).Chinese journal of computationalphysics. 23(6):692-698 (2006)

· L. Fang, and L.P. Wang, Atheoretical approach on the scaling of the second-order cross structure functionin homogeneous shear turbulence,TSFP-9, Melbourne, 2015, poster

· L. Fang, J. Lelouvetel, J. Caro, M.Lance, and F. Leboeuf, Development of "sph-turb": an open-source codeusing the smoothed particle hydrodynamics,7th Centrale-Beihang Workshop,Beijing, 2014

· Y.S. Jiang,L. Fang, X.D. Jing, X.F. Sun, and F. Leboeuf, A hybrid numerical methodfor elliptic equations with immersed interfaces using a local filter,ACFM14,Hanoi and Halong, 2013

· J.Lelouvetel,L. Fang, J. Caro, and F. Leboeuf, Smoothed ParticleHydrodynamics simulation for cavitating flows,6th Centrale-Beihang Workshop,Lille, 2012

· L. Fang, F. Gao, L. Shao, Y.W. Liu,and L.P. Lu, From theory to engineering: numerical simulation of turbulentflows in compressors,5th Centrale-Beihang Workshop, Beijing, 2012

· W.J.T. Bos,R. Rubinstein, andL. Fang, Depletion of advection in turbulent scalarmixing,ETC13, Warsaw, 2011 (EI)

· D. LeTouzé, J. Biddiscombe, A. Colagrossi, E. Jacquin, F. Leboeuf, J.-C. Marongiu,N. Quinlan, A. Amicarelli, M. Antuono, D. Barcarolo, M. Basa, J. Caro, M.De Leffe, N. Grenier, P.-M. Guilcher, M. Kerhuel,L. Fang, L. Lobovský,S. Marrone, A. Marsh, G. Oger, E. Parkinson, and J. Soumagne, Next-generationmulti-mechanics simulation engine in a highly interactive environment, ProcediaComputer Science, v 7, p 292-293, 2011, Proceedings of the 2nd European FutureTechnologies Conference and Exhibition 2011, FET 11 (EI)

· Y. Wei,L.Fang, S. Cotin, and S. Ma, Interactive blood-coil simulation usingDiscrete Exterior Calculus,ICVFM, Caserta, 2010

· L. Fang, W.J.T. Bos, L. Shao, and J.P.Bertoglio, On time-reversibility of subgrid-scale models for large-eddysimulation,DLES 8, Eindhoven, 2010

· L. Fang, L. Shao, J.P. Bertoglio, L.P.Lu, and Z.S. Zhang, Rapid and slow decomposition in large eddy simulation ofscalar turbulence, ASMEFEDSM-ICNMM, Montreal, 2010 (EI)

· A.Amicarelli, F. Leboeuf,L. Fang, J. Caro, J.C. Marongiu, and J. Leduc,SPH truncation error in 3D simulations,SPHERIC, Manchester, 2010

· L. Fang, W.J.T. Bos, L.Shao, and J.P.Bertoglio, A dynamic multiscale subgrid model for MHD turbulence based onKolmogorov's equation,ETC12, Marburg, 2009, poster (CPCI-S)

· Y. Wei, S.Cotin,L. Fang, J. Allard, C. Pan, and S. Ma, Toward real-timesimulation of blood flow and coil interactions during aneurysmembolization,MICCAI, London, 2009 (CPCI-S)

( obtained theMICCAI Young Scientist Awards)

· Y. Wang, H.Wang, C. Pan, andL. Fang, Style preserving Chinese character synthesisbased on hierarchical representation of character,ICASSP, LasVegas, 2008 (CPCI-S)

· L. Fang, L. Shao, J.P. Bertoglio, G.Cui, C. Xu, and Z. Zhang, An improvement of increment model by using Kolmogorovequation of filtered velocity,DLES 7, Trieste, 2008

· L. Fang, J. Boudet, and L. Shao, Leséchanges inter-échelles en simulation des grandes échelles,CFM 18,Grenoble, 2007

· 方乐,非均衡湍流:现象、理论与建模,2016年湍流与流动稳定性专题研讨会,厦门, 2016

· 鲍赋劼,方乐,槽道湍流中应变率张量的拉格朗日时间自相关研究,全国流体力学学术会议,南京, 2016

· 方乐,W.J.T. Bos,晋国栋,各向同性湍流拉格朗日速度梯度交叉相关函数的短期增长现象,中国力学大会,上海, 2015

· 金雪夫,方乐,王颖,一种基于势能网格的新型人群流动数值模拟方法,中国力学大会,上海, 2015

· 方乐,各向同性非均衡湍流与大涡模拟,2014年湍流与流动稳定性专题研讨会,上海, 2014

· 曲波,方乐,陆利蓬,被动标量湍流对流与标量脉动梯度相关性研究,中国力学大会,西安, 2013

· 吴建钊,姚思远,吕金明,方乐,任意方向三点速度增量的二阶结构函数的研究,中国力学大会,西安, 2013

· 孙雪砚,方乐,柳阳威,亚格子建模中正交条件的研究,北航研究生学术论坛,北京, 2016

· 李豪扬,方乐,牛薇,王璐,基于斜截式变换的红外触摸屏触点识别算法,北航研究生学术论坛,北京, 2014

· 李博,方乐,陆利蓬, Scaling law of resolved-scale isotropic turbulence and itsapplication in large-eddy simulation,北航研究生学术论坛,北京, 2013

· 曲波,方乐,陆利蓬, Statistical correlation between scalar gradient and advection inturbulent passive scalar mixing,北航研究生学术论坛,北京, 2013

· Marc Pauly著,方乐译,微分方程,科学出版社,北京, 2013

· 方乐,牛薇,李豪扬,基于点斜式变换的红外触摸屏的单触点识别方法,申请号:201410222324.X

· 方乐,牛薇,张浩,管健,基于红外触摸屏触摸点识别算法的虚拟测试系统和方法,申请号:201310149129.4

· sph-turb: 3D SPH simulation for homogeneousisotropic turbulence (Fortran 77)

· pushbox-pyqt: A PyQT based Sokoban solver