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Acta Mechanica Sinica 2024年第3期40卷 87-98页

作者：陈涛王成跃刘天舒 Department of Mechanics and Engineering Science School of ScienceNanjing University of Science and TechnologyNanjing210094China Department of Mechanical and Aerospace Engineering Western Michigan UniversityKalamazooMichigan49008USA

本文围绕不可压缩流动中边界涡量产生这一有争议的话题展开讨论,指出边界涡量产生必须是一个有黏过程,并从宏观和介观角度系统地反驳了无黏论.黏性不仅参与边界涡量的扩散,而且在它的产生过程中起到了实现无滑移边界条件的作用.Lyman涡... 详细信息

本文围绕不可压缩流动中边界涡量产生这一有争议的话题展开讨论,指出边界涡量产生必须是一个有黏过程,并从宏观和介观角度系统地反驳了无黏论.黏性不仅参与边界涡量的扩散,而且在它的产生过程中起到了实现无滑移边界条件的作用.Lyman涡量流可看作是Lighthill-Panton-Wu边界涡量流的一部分,提供了边界涡量动力学的一种可选择解释.与现存的无黏边界涡量产生观点不同,我们认为黏性对Lyman涡量流的产生是必不可少的.表面压力分布的形成是无黏过程,而压力梯度产生边界涡量流则是一个有黏过程,这两个基本过程的时间间隔与分子弛豫时间同量级.本文进一步提出从Boltzmann方程的角度来阐明黏度的关键角色以及各种相关物理概念之间的内在联系.对于无滑移边界下的连续流,无黏欧拉理论中滑移速度的物理载体是边界物质涡层中的涡量.有趣的是,本文指出Lyman涡量流也适用于滑移流模式,其黏性机理隐含在有非连续流效应的Knudsen层中.因此,一个包含边界涡量产生和机翼环量形成的完整物理图像必须建立在有黏流动的基础之上.

关键词： boundary vorticity creation Viscosity no-slip boundary condition Boltzmann equation slip velocity

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A boundary condition-Implemented Immersed boundary-Lattice Boltzmann Method and Its Application for Simulation of Flows Around a Circular Cylinder

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Advances in Applied Mathematics and Mechanics 2014年第6期6卷 811-829页

作者： X.Wang C.Shu J.Wu L.M.Yang Department of Aerodynamics College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsYudao StreetNanjing 210016China Department of Mechanical Engineering National University of Singapore10 Kent Ridge CrescentSingapore 119260Singapore

A boundary condition-implemented immersed boundary-lattice Boltzmann method(IB-LBM)is presented in this *** present approach is an improvement to the conventional *** the conventional IB-LBM,the no-slip boundary condition is only approximately *** a result,there is flow penetration to the solid *** drawback of conventional IB-LBM is the use of Dirac delta function interpolation,which only has the first order of *** this work,the no-slip boundary condition is directly implemented,and used to correct the velocity at two adjacent mesh points from both sides of the boundary *** velocity correction is made through the second-order polynomial interpolation rather than the first-order delta function ***,the two drawbacks of conventional IB-LBM are removed in the present *** important contribution of this paper is to present a simple way to compute the hydrodynamic forces on the boundary from Newton’s second *** validate the proposed method,the two-dimensional vortex decaying problem and incompressible flow over a circular cylinder are *** shown in the present results,the flow penetration problem is eliminated,and the obtained results compare very well with available data in the literature.

关键词： Immersed boundary method lattice Boltzmann method velocity correction Lagrange interpolation no-slip boundary condition

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Mesoscale Simulation for Polymer Migration in Confined Uniform Shear Flow

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Chemical Research in Chinese Universities 2010年第1期26卷 122-127页

作者： HE Yan-dong WANG Yong-lei LU Zhong-yuan LI Ze-sheng State Key Laboratory of Theretical and Computational Chemistry Institute of Theoretical Chemistry Jilin University Changehun 130021P. R. China

The structure and dynamics of confined single polymer chain in a dilute solution, either in equilibrium or at different shear rates in the uniform shear flow fields, were investigated by means of dissipative particle dynamics simulations. The no-slip boundary condition without density fluctuation near the wall was taken into account to mimic the environment of a nanochannel. The dependences of the radius of gyration, especially in three different di- rections, and the density profile of the chain mass center on the strength of the confinement and the Weissenberg number（Wn） was studied. The effect of the interaction between polymer and solvent on the density profile was also investigated in the cases of moderate and strong Wn. In the high shear flow, the polymer migrates to the center of the channel with increasing Wn. There is only one density profile peak in the channel center in the uniform shear flow, which is in agreement with the results of the experiments and theory.

关键词： Confined polymer Dissipative particle dynamics no-slip boundary condition Uniform shear flow

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Topology Optimization for Steady-State Navier-Stokes Flow Based on Parameterized Level Set Based Method

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Computer Modeling in Engineering & Sciences 2023年第7期136卷 593-619页

作者： Peng Wei Zirun Jiang Weipeng Xu Zhenyu Liu Yongbo Deng Minqiang Pan State Key Laboratory of Subtropical Building Science School of Civil Engineering and TransportationSouth China University of TechnologyGuangzhou510641China State Key Laboratory of Applied Optics(SKLAO) Changchun Institute of OpticsFine Mechanics and Physics(CIOMP)Chinese Academy of SciencesChangchun130033China Institute of Microstructure Technology(IMT) Karlsruhe Institute of Technology(KIT)Eggenstein-Leopoldshafen76344Germany School of Mechanical and Automotive Engineering South China University of TechnologyGuangzhou510641China

In this paper,we consider solving the topology optimization for steady-state incompressibleNavier-Stokes problems via a new topology optimization method called parameterized level set method,which can maintain a relatively smooth level set function with a local optimality *** objective of topology optimization is to􀀀nd an optimal con􀀀guration of theuid and solid materials that minimizes power dissipation under a prescribeduid volume fraction *** arti􀀀cial friction force is added to the Navier-Stokes equations to apply the no-slip boundary *** a great deal of work has been carried out for topology optimization ofuidow in recent years,there are few researches on the topology optimization ofuidow with physical body *** simulate theuidow in reality,the constant body force(e.g.,gravity)is considered in this *** 2D numerical examples are presented to discuss the relationships between the proposed method with Reynolds number and initial design,and demonstrate the feasibility and superiority of the proposed method in dealing with unstructuredmesh *** 3D numerical examples demonstrate the proposedmethod is feasible in three-dimensional.

关键词： Topology optimization parameterized level set method power dissipation no-slip boundary condition Navier-Stokes equations gravity

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