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A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes

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Science China Mathematics 2008年第8期51卷 1549-1560页

作者： zhu Jun qiu JianXian Department of Mathematics Nanjing UniversityNanjing 210093China College of Science Nanjing University of Aeronautics and AstronauticsNanjing 210016China

In this paper,we developed a class of the fourth order accurate finite volume Hermite weighted essentially non-oscillatory(HWENO)schemes based on the work(Computers&Fluids,34:642-663(2005))by qiu and Shu,with Total Variation Diminishing Runge-Kutta time discretization method for the two-dimensional hyperbolic conservation *** key idea of HWENO is to evolve both with the solution and its derivative,which allows for using Hermite interpolation in the reconstruction phase,resulting in a more compact stencil at the expense of the additional *** main difference between this work and the formal one is the procedure to reconstruct the derivative *** with the original HWENO schemes of qiu and Shu,one major advantage of new HWENOschemes is its robust in computation of problem with strong *** numerical experiments are performed to illustrate the capability of the method.

关键词： finite volume HWENO scheme conservation laws Hermite polynomial TVD Runge-Kutta time discretization method 65M06 65M99 35L65

3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第7期8卷 1038-1043页

作者： CHEN Jiang-ying CHEN wei-qiu Faculty of Engineering Ningbo University Ningbo 315211 China Department of Civil Engineering Zhejiang University Hangzhou 310027 China

The analytical solution for an annular plate rotating at a constant angular velocity is derived by means of direct displacement method from the elasticity equations for axisymmetric problems of functionally graded transversely isotropic media. The displacement components are assumed as a linear combination of certain explicit functions of the radial coordinate, with seven undetermined coefficients being functions of the axial coordinate z. Seven equations governing these z-dependent functions are derived and solved by a progressive integrating scheme. The present solution can be degenerated into the solution of a rotating isotropic functionally graded annular plate. The solution also can be degenerated into that for transversely isotropic or isotropic homogeneous materials. Finally, a special case is considered and the effect of the material gradient index on the elastic field is illustrated numerically.

关键词： Functionally graded materials Transversely isotropic Rotating annular plate Analytical solution

DYNAMIC CHARACTERISTICS OF LARGE FLOW RATING ELECTROHYDRAULIC PROPORTIONAL CARTRIDGE VALVE

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Chinese Journal of Mechanical Engineering 2008年第6期21卷 57-62页

作者： FU Linjian wei Jianhua qiu Minxiu State Key Laboratory of Fluid Power Transmission and Control Zhejiang University Hangzhou 310027 China

A kind of cartridge servo proportional valve is discussed, which can be used for controlling large flow rate with high performance. By analyzing the structure principle of the valve, the transfer fimction of the valve is derived. With the transfer function, some structure elements that may affect its performance are investigated. Through the numerical simulation and test study, some principles of optimality and effective methods for improving the dynamic performance of the valve are proposed. The test results conform to the results of the theoretical analysis and simulation, which proves the correctness of the study and simulation works. The paper provides theoretical basis for engineering applications and series expanding design works

关键词： Large flow rate electro-hydraulic proportional cartridge valve Dynamic characteristics

An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

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Numerical Mathematics(Theory,Methods and Applications) 2013年第4期6卷 617-636页

作者： Hongqiang zhu Jianxian qiu School of Natural Science Nanjing University of Posts and TelecommunicationsNanjing 210023JiangsuChina School of Mathematical Sciences Xiamen UniversityXiamen 361005FujianChina

In[35,36],we presented an h-adaptive Runge-Kutta discontinuous Galerkin method using troubled-cell indicators for solving hyperbolic conservation laws.A tree data structure(binary tree in one dimension and quadtree in two dimensions)is used to aid storage and neighbor *** adaptation is achieved by refining the troubled cells and coarsening the untroubled"children".Extensive numerical tests indicate that the proposed h-adaptive method is capable of saving the computational cost and enhancing the resolution near the *** this paper,we apply this h-adaptive method to solve Hamilton-Jacobi equations,with an objective of enhancing the resolution near the discontinuities of the solution ***-and two-dimensional numerical examples are shown to illustrate the capability of the method.

关键词： Runge-Kutta discontinuous Galerkin method h-adaptive method Hamilton-Jacobi equation

Model Test Research of Breakwater Core Material Influence on Wave Propagation

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China Ocean Engineering 2016年第5期30卷 786-793页

作者： WANG Deng-ting SUN Tian-ting CHEN wei-qiu zhu Jia-ling Nanjing Hydraulic Research Institute Nanjing 210029China College of Harbour Coastal and Offshore EngineeringHohai UniversityNanjing 210098China

The interaction between waves and porous breakwater has an important theoretical significance and great application value of *** this paper,the tests of the core material's influence in rubble mound breakwater on wave propagation are carried *** relations among the transmitted wave height,incident wave element,and breakwater width are *** calculation formula is *** test results show that different core materials have obvious influence on wave propagation.

关键词： core material simulation permeable wave height transmitted coefficient

Experimental Study on Mean Overtopping of Sloping Seawall Under Oblique Irregular Waves

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China Ocean Engineering 2017年第3期31卷 350-356页

作者： WANG Deng-ting JU Lie-hong zhu Jia-ling WANG Zhen SUN Tian-ting CHEN wei-qiu Nanjing Hydraulic Research Institute Nanjing 210029 China College of Harbour Coastal and Offshore Engineering Hohai University Nanjing 210098 China

In this paper, domestic and abroad research progresses and related calculation formulae of the mean overtopping discharge are summarized. Through integral physical model experiments, the relation between the wave direction and the overtopping discharge on the top of the sloping dike is focused on and put into analysis and discussion; and a modified formula for mean overtopping discharges under oblique irregular waves is proposed. The study shows that the mean overtopping discharge generally goes down as the relative wave obliquity fl increases for a fixed measurement point and the mean overtopping discharge generally increases as the wave steepness H/L decreases （the cycle increases） for a fixed relative wave obliquity.

关键词： mean overtopping discharge oblique wave sloping dike

Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters:Three-Dimensional

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Communications in Computational Physics 2012年第3期11卷 985-1005页

作者： Jun zhu Jianxian qiu College of Science Nanjing University of Aeronautics and AstronauticsNanjingJiangsu 210016P.R.China School of Mathematical Sciences Xiamen UniversityXiamenFujian 361005P.R.China and Department of MathematicsNanjing UniversityNanjingJiangsu 210093P.R.China

This paper further considers weighted essentially non-oscillatory(WENO)and Hermite weighted essentially non-oscillatory(HWENO)finite volume methods as limiters for Runge-Kutta discontinuous Galerkin(RKDG)methods to solve problems involving nonlinear hyperbolic conservation *** application discussed here is the solution of 3-D problems on unstructured *** numerical tests again demonstrate this is a robust and high order limiting procedure,which simultaneously achieves high order accuracy and sharp non-oscillatory shock transitions.

关键词： Runge-Kutta discontinuous Galerkin method limiter WENO HWENO high order limiting procedure

Decomposition of Organic Compounds in Coke Plant Wastewater by Ultrasonic Irradiation and Its Combined Process

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Chemical Research in Chinese Universities 2004年第4期20卷 421-428页

作者： XUJin-qiu JIAJin-ping WANGJing-wei SchoolofEnvironmentalScienceandEngineering ShanghaiJiaotongUniversityShanghai200240P.R.China DepartmentofEnvironmentalEngineering ShanghaiSecondPoly-technicUniversityShanghai201206P.R.China

The paper deals with the degradation of the organic compounds in the coke plant wastewater by the combined process of ultrasonic irradiation and activated sludge. The influence factors of the ultrasonic degradation effect such as air atmosphere, initial concentration, ultrasonic power density and the category and consumption of catalyst were investigated. A water quality model was used to explain the degradation of different kinds of organic compounds in the coke plant wastewater by ultrasonic irradiation. After the wastewater was treated by the combined process of ultrasonic irradiation and activated sludge, the COD degradation efficiency was 95.74%, which is 63.49% higher than that by the process of activated sludge alone.

关键词： Coke plant wastewater Organic compounds Ultrasonic irradiation Activated sludge Degradation Water quality model

Finite Volume Hermite WENO Schemes for Solving the Hamilton-Jacobi Equation

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Communications in Computational Physics 2014年第4期15卷 959-980页

作者： Jun zhu Jianxian qiu College of Science Nanjing University of Aeronautics and AstronauticsNanjing 210016JiangsuChina School of Mathematical Sciences Xiamen UniversityXiamen 361005FujianChina.

In this paper,we present a new type of Hermite weighted essentially nonoscillatory(HWENO)schemes for solving the Hamilton-Jacobi equations on the finite volume *** cell averages of the function and its first one(in one dimension)or two(in two dimensions)derivative values are together evolved via time approaching and used in the *** the major advantages of the new HWENO schemes are their compactness in the spacial field,purely on the finite volume framework and only one set of small stencils is used for different type of the polynomial *** numerical tests are performed to illustrate the capability of the methodologies.

关键词： HWENO scheme finite volume Hamilton-Jacobi equation