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Acta Mechanica Solida Sinica 1997年第3期10卷 255-261页

作者： Yan Xianggan wu jike, department of mechanics, peking unirersity, bejing 100871. china BEIJING UNIV DEPT MECHBEIJING 100871PEOPLES R CHINA

By the separation of singularity, a special Fourier series solution of the boundary value problem for plane is obtained, which can satisfy all boundary conditions and converges rapidly. II is proved that the solution is equal to the result of separation of variables. As a result, the non-linear characteristic equations resulting from the method of separation of variables are transformed into polynomial equations that can provide a foundation for approximate computation and asymptotic analysis.

关键词： separation of singularity series resolution method of separation of variables boundary value problem characteristic equation

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On Catastrophe and Cavitation for SphericalCavity

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Communications in Nonlinear Science and Numerical Simulation 1999年第4期4卷 249-254页

作者： Ming JIN Kefu HUANG jike wu(department of mechanics and Engineering Science, peking University, Beijing 100871.china) department of mechanics and Engineering Science Peking University Beijing 100871 China

IntroductionInrecelltyears,theresearchesoncavitationandcatastropheofacavitysu***therwithbifllrcationtheory... 详细信息

IntroductionInrecelltyears,theresearchesoncavitationandcatastropheofacavitysu***therwithbifllrcationtheory...

关键词： nonlinearity bifurcation Hooke material

ON THE STABILITY OF ELASTIC CURVED BARS

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Acta Mechanica Sinica 1987年第4期3卷 326-334页

作者： wu jike Huang Yonggang department of mechanics,peking University 1. department of mechanics Peking University Peking China

A general discussion about the stability of arbitrary elastic curved bars in space undercombined actions of bending and twisting is given in this paper.A system of Eqs.(28)-(36)for perturbationfunctions near some equilibrium state is *** appropriate boundary conditions,the nontrivialsolution corresponds to the critical *** examples are analysed in this *** of them are newresults and others are old problems treated using the new method.

关键词： elastic curved bars bifurcation stability

Observation of the Turbulent Burst near ASheared Air-Water Interface

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 94-99页

作者： Shuangfeng WANG Fu JIA Zhennan NIU Zhangzhi wu(Institute of mechanics, Chinese Academy of Sciences, Beijing 100080, china)(State Key Laboratory for Turbulence Research, peking University, Beijing 100871.china) Institute of mechanics Chinese Academy of Sciences Beijing 100080 China

The turbulent burst under a sheared air-water interface was experimentally investigated using hydrogen bubble visualization technique. The surface shear wasimposed by an airflow over the water flow which was kept free from surface waves. Resultsshow that the wind shear has the main influence on the bursting events. At relativelyhigh shear rates, the flow near the interface is dominated primarily by intermittent bursting events. The general features of bursting processes are described in some detail. Theobserved bursting events show qualitative similarities with those occurring in near-wallturbulence. However, a few distinctive phenomena were also observed, including the existence of vertical vortices and thickening process of the boundary layer, which appear tobe associated with the Characteristics of air-water interface.

关键词： air-water interface turbulent burst flow-visualization

A Kind of Arc-length Method for Ordinary Differential Equations

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Communications in Nonlinear Science and Numerical Simulation 1997年第3期 15-20页

作者： jike wu, Grafton W. H. HUI & Hongli DING (department of mechanics & Engineering Science,peking University, peking, china) (department of Mathematics, Hong Kong University of Science and Technology, china)

ＡＫｉｎｄｏｆＡｒｃ－ｌｅｎｇｔｈＭｅｔｈｏｄｆｏｒＯｒｄｉｎａｒｙＤｉｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ１ＪｉｋｅＷＵ，ＧｒａｆｔｏｎＷ．Ｈ．ＨＵＩ＆ＨｏｎｇｌｉＤＩＮＧ（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃ... 详细信息

ＡＫｉｎｄｏｆＡｒｃ－ｌｅｎｇｔｈＭｅｔｈｏｄｆｏｒＯｒｄｉｎａｒｙＤｉｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ１ＪｉｋｅＷＵ，ＧｒａｆｔｏｎＷ．Ｈ．ＨＵＩ＆ＨｏｎｇｌｉＤＩＮＧ（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃｓ＆ＥｎｇｉｎｅｅｒｉｎｇＳｃｉｅ...

关键词： Ordinary Differential Equations Numerical Method Arc length method Stiff Equation Burger′s Equation

A CONTINUUM MODEL OF THE BLOOD FLOW IN THE LUNG MICROCIRCULATION

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Acta Mechanica Sinica 1988年第3期4卷 230-238页

作者： wu Wangyi He Xiaoyi department of mechanics, peking University 1. department of mechanics Peking University Beijing China

An one-dimensional continuum model and the corresponding governing equations areproposed for the blood flow in lung microcirculation, the analytical solutions in closed form are presented. It isshown that the obtained... 详细信息

关键词： Lung Microcirculation Continuum model Sheet flow theory.

THE OSEEN FLOW OF FINITE CLUSTERS OF SPHERES AND THE WAKE EFFECT ON THE DRAG FACTOR

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Acta Mechanica Sinica 1986年第4期2卷 289-304页

作者： wu Wangyi Mei Hong (department of mechanics,peking University) 1. department of mechanics Peking University Beijing China

In this paper,the wake effect on drag factor in the axisymmetric Oseen flow of thefinite clusters of equally spaced spheres with same size is *** the Oseen lets on thecentres of all the spheres,the series solution of the problem is obtained,By truncating the infiniteseries and applying the collocation method to solve a set of the linear algebraic equations,theapproximate solution of the Oseen flow of finite clusters of spheres and the drag factor for eachsphere are *** effect of tbe sphere number and spacing on the drag factor of each sphere under differentReynolds numbers are calculated and the wake effect as well as the shielding effect and the end effectare *** influence of various parameters on the effects is considered and compared with thecorresponding results of the Stokes *** convergence of the method is also studied numericallyin this paper.

关键词： Oseen flow clusters of spheres wake effect on drag of spheres

THE COMPLETE PROCESS OF LARGE ELASTIC-PLASTIC DEFLECTION OF A CANTILEVER

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Acta Mechanica Sinica 1986年第4期2卷 333-347页

作者： wu Xiaoqiang Yu Tongxi (department of mechanics,peking University) 1. department of mechanics Peking University Beijing China

An extension of the Elastica theory is developed to study the large deflection of anelastic-perfectly plastic horizontal cantilever beam subjected to a vertical concentrated force at *** entire process is divided into four stages:Ⅰ.elastic in the whole cantilever;Ⅱ.loading anddeveloping of the plastic region;Ⅲ.unloading in the plastic region;and Ⅳ.reverse *** stages Ⅰ and Ⅱ are presented in a closed form.A combination of closed-form solution andnumerical integration is presented for stage Ⅲ.Finally,stage Ⅳ is qualitatively *** are given and compared with those from small-deflection theory and from the Elastica theory.

关键词： large deflection elastic-plastic cantilever beam flexible bar geometrical and material non-linearities Elastica Plastica

A REMARK ON THE RADIATION CONDITIONS

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Journal of Hydrodynamics 1991年第4期3卷 43-48页

作者： wu Jian-hua Chen Yao-song Dept.of mechanics,peking Uuiversity,Beijing 100871.P.R.china

By studying stationary solution of the initial value problem of wave diffraction by a body moving with con- stant speed in waves,the boundary value problem of the stationary solution has been derived in this *** is proved that the free surface condition including a small damping μ,which may be seen as either real or fictitious, implies the radiation *** work may be seen as the mathematical proof of the Rayleigh stress and make one have more knowledge about the radiation condition.

关键词： A REMARK ON THE RADIATION CONDITIONS exp

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The theoretical research of basic function method in incompressible viscous flow and its simulations in three-dimensional aneurysms

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Science china(Physics,mechanics & Astronomy) 2009年第6期52卷 909-918页

作者： SHEN Fang1 & wu WangYi2 1 State Key Laboratory for Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, china 2 State Key Laboratory of Turbulence and Complex Systems & department of mechanics and Engineering Science, peking University, Beijing 100871. china 1. State Key Laboratory for Space Weather Center for Space Science and Applied Research Chinese Academy of Sciences Beijing 100190 China 2. State Key Laboratory of Turbulence and Complex Systems & department of mechanics and Engineering Science Peking University Beijing 100871 China

Basic function method is developed to treat the incompressible viscous flow. Artificial compressibility coefficient, the technique of flux splitting method and the combination of central and upwind schemes are applied to construct the basic function scheme of trigonometric function type for solving three-dimensional incompressible Navier-Stokes equations numerically. To prove the method, flows in finite-length-pipe are calculated, the velocity and pressure distribution of which solved by our method quite coincide with the exact solutions of Poiseuille flow except in the areas of entrance and exit. After the method is proved elementary, the hemodynamics in two-and three-dimensional aneurysms is researched numerically by using the basic function method of trigonometric function type and unstructured grids generation technique. The distributions of velocity, pressure and shear force in steady flow of aneurysms are calculated, and the influence of the shape of the aneurysms on the hemodynamics is studied.

关键词： basic function unstructured grid aneurysm viscous incompressible flow artificial compressibility flux splitting

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