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SIMULATION OF THE OIL SLICK MOVEMENT IN TIDAL WATER-WAYS

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Journal of Hydrodynamics 2010年第1期22卷 96-102页

作者： WUZhao-chun WANG Dao-zeng shanghai Institute of applied mathematics and {3. Shanghai University Shanghai 200072 China School of Construction and Safety Engineering Shanghai Institute of Technology Shanghai 200235 China

Based on particle approach and tidal flow model this article studies the behavior of the oil slick on the water surface in the Huangpu River, a tidal waterway in shanghai. In order to track the oil slick motion, a two-dimensional oil trajectory model is used. The dynamical properties of spilled oil characterized by advection, oil spreading and turbulent diffusion are considered in the model. The simulation results consistent with the flume experimental data show that the model is applicable. Both simulation and experiment illustrate that the tidal flow has a great influence on the oil slick motion. The calculated results can be used as a reference for the response to oil spill accidents in rivers.

关键词： particle approach track of oil slick numerical simulation

Approximate Analytical Solution of Blasius'Equation

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 260-263页

作者： Jihuan HE(shanghai university, shanghai Institute of applied {3. and mechanics,shanghai 200072, china)Email: glliu@*** shanghai university Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

The Blasius’ equation f"’ + ff"/2=0, with boundary conditions f(0) =f,(0)0, f’ (+∞)=1 is studied in this paper. An approximate analytical solution is obtained via the variational iteration method. The comparison w... 详细信息

关键词： nonlinear technique variational iteration method Blasius’ flow variational technique

Newton-Like Iteration Method for Solving Algebraic Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期3卷 54-57页

作者： Jihuan HE (shanghai university, shanghai Institute of applied {3. and mechanics, shanghai ,200072, china, Email glliu@***) shanghai university Shanghai Institute of Applied mathematics and Mechanics Shanghai 200072. China

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ＩｎｔｒｏｄｕｃｔｉｏｎＩｔｃａｎｏｆｔｅｎｂｅｍｅｔｉｎｓｃｉｅｎｔｉｆｉｃａｎｄｅｎｇｉｎｅｅｒｉｎｇｐｒａｃｔｉｃｅｓｔｏｆｉｎｄａｌｒｏｏｔｓｏｆａｐｏｌｙｎｏｍｉａｌｏｒａｎａｌｇｅｂｒａｉｃｅｑｕａｔｉｏｎ．Ｔｈｅｗｅｌｋｎｏｗｎｍｅ...

关键词： nonlinearity Newton like iteration method perturbation method

A Variational Model for an AsymptoticMagnetohydrodynamic System

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 176-179页

In the present paper an asymptotic gas magnetohydrodynamic system isformulated in veriational principles for the first time via the semi-inverse method proposedby He. Thus, a new theoretical basis for the trite elemen... 详细信息

关键词： variational technique semi-inverse method unsteady flow magnetohydrodynamic

Variational Theory for ChandrasekharaiahThermopiezoelectricity

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Communications in Nonlinear Science and Numerical Simulation 1999年第4期4卷 289-292页

作者： Jihuan HE(shanghai university, shanghai institute of applied {3. and mechanics,shanghai 200072, china)Email: glliu@*** shanghai university Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

IntroductionRecelltillterestinpiezoelectricmaterialsst***1988,Chandrasekharaiah[1]propos***,Ashida&Tauchert[2... 详细信息

IntroductionRecelltillterestinpiezoelectricmaterialsst***1988,Chandrasekharaiah[1]propos***,Ashida&Tauchert[2...

关键词： thermopiezoelectricity variational theory semi-inverse method finite element method Lagrange multiplier

NUMERICAL SOLUTION FOR TIDAL FLOW IN OPENING CHANNEL USING COMBINED MACCORMACK-FINITE ANALYSIS METHOD

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Journal of Hydrodynamics 2009年第4期21卷 505-511页

作者： WU Zhao-chun WANG Dao-zeng shanghai Institute of applied mathematics and {3. Shanghai University Shanghai 200072 China School of Construction and Safety Engineering Shanghai Institute of Technology Shanghai 200235 China

A new numerical scheme for solving the tidal flow in an opening channel using the advective-diffusion shallow-water equations as the governing equations is proposed based on the combination of the MacCormack and the finite analysis methods. In the present scheme, the finite analysis method is used to discretize the momentum equation and the MacCormack technique is used to discretize the continuity equation in a single grid system. The matrix of the discretized momentum equation is characterized by predominantly main diagonal elements, which ensures favorable convergence and stability for the numerical simulation by the combined method. To verify the present method, hydraulics simulation is carried out for a section down mainstream of the Huangpu River. The computational results agree with the measured data. By use of orthogonal curvilinear coordinate system, the methods can be easily extended to the numerical simulation of the tidal flow in a tortuous channel.

关键词： MacCormack technique finite analysis method tidal flow shallow water equation numerical simulation

Variational Approach to a Strictly Hyperbolic System of Conservation Laws with Singularity

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 179-183页

Via the send-inverse method proposed by He, a variational principle isestablished for a system of two conservation laws which is strictly hyperbolic. Applyingvariational technique with variable-domain, the Rankine-Hug... 详细信息

关键词： variational technique semi-inverse method hyperbolic problems

Approximate Analytical Solution of Blasius' Equation

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 75-78页

作者： Jihuan HE (shanghai institute of applied mathematics and {3., shanghai university, shanghai 200072, china) Email:glliu@*** shanghai Institute of applied mathematics and {3. Shanghai University Shanghai 200072 China

The Blasius’ equation, with boundary conditions, is studied in this paper. An approximate analytical solution is obtained via the variational iteration method. The comparison with Howarth’s numerical solution reveal... 详细信息

关键词： nonlinear technique variational iteration method Blasius’ flow variational technique

The complex variable reproducing kernel particle method for elasto-plasticity problems

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Science china(Physics,mechanics & Astronomy) 2010年第5期53卷 954-965页

作者： CHEN Li1 & CHENG YuMin2 1 Department of Engineering mechanics,Chang’an university,Xi’an 710064,china 2 {3. Institute of applied mathematics and mechanics,shanghai university,shanghai 200072,china 1. Department of Engineering mechanics Chang’an University Xi’an 710064 China2. Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

On the basis of reproducing kernel particle method(RKPM),using complex variable theory,the complex variable reproducing kernel particle method(CVRKPM) is discussed in this *** advantage of the CVRKPM is that the correction function of a two-dimensional problem is formed with one-dimensional basis function when the shape function is *** the CVRKPM is applied to solve two-dimensional elasto-plasticity *** Galerkin weak form is employed to obtain the discretized system equation,the penalty method is used to apply the essential boundary *** then,the CVRKPM for two-dimensional elasto-plasticity problems is formed,the corresponding formulae are obtained,and the Newton-Raphson method is used in the numerical *** numerical examples are given to show that this method in this paper is effective for elasto-plasticity analysis.

关键词： meshless method reproducing kernel particle method(RKPM) complex variable reproducing kernel particle method(CVRKPM) correction function elasto-plasticity