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THE SCHWARZ CHAOTIC RELAXATION METHOD WITH INEXACT SOLVERS ON THE SUBDOMAINS

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Journal of Computational Mathematics 1999年第2期17卷 125-132页

作者： Jian-guo Huang(department of Applied Mathematics, shanghai jiao {3. University,shanghai 200240, china) 上海交通大学应用数学系上海

In this paper, a S-CR method with inexact solvers on the subdomains is presented, and then its convergence property is proved under very general conditions. This result is important because it guarantees the effective... 详细信息

关键词： S-CR method chaotic algorithm inexact solvers

A note on the 2-connectivity in one-dimensional ad hoc networks

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Science china(Information Sciences) 2011年第1期54卷 123-128页

作者： SHANG YiLun department of Mathematics,shanghai jiao {3. University, shanghai 200240,china department of Mathematics Shanghai Jiao Tong University Shanghai China

2-connectivity is the basic graph theoretical metric for fault tolerance to node failures,and it is an extremely desirable property in network *** a one-dimensional finite ad hoc network formed by n nodes uniformly and independently distributed in a closed interval[0,z](z∈R+),we give a closed form expression for the probability that a connected one-dimensional finite ad hoc network becomes disconnected after removing a *** also sketch a procedure of finding the exact formula for 2-connectivity in a one-dimensional ad hoc network.

关键词： ad hoc network one-dimensional network 2-connectivity

Application of Fourier Slice Theorem in Wigner Operator Theory and New Complete Representation

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Communications in Theoretical physics 2009年第11期52卷 829-831页

作者： WANG tong-tong~1 and FAN Hong-Yi~(2,3.1 School of Mathematics and physics, Huangshi Institute of Technology, Huangshi 43.003.{3.2 department of Material Science and Engineering, University of Science and Technology of{3., Hefei 23.026,{3.3.department of physics, shanghai jiao tong University, shanghai 2.003.,{3. School of Mathematics and physics Huangshi Institute of Technology Huangshi 435003 China department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China department of physics Shanghai Jiao Tong University Shanghai 200030 China

By applying the Fourier slice theorem,S;（λ）=∫;P;（t）e;=F（λcosθ,λsinθ）,where P;（t）is aprojection of f（x,p）=（?）F（u,v）e;dudv along lines of constant,to the Wigner operator we are naturally led toa projection operator（pure state）,which results in a new complete *** Weyl orderimg formalism of theWigner operator is used in the derivation.

关键词： Wigner operator Fourier slice theorem new complete representation

CALCULATION OF ADDED MASS OF A VEHICLE RUNNING WITH CAVITY

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Journal of Hydrodynamics 2010年第3期22卷 312-318页

作者： LI Jie LU Chuan-jing HUANG Xuan department of Engineering Mechanics Shanghai Jiao Tong University Shanghai 200240 China department of Engineering Mechanics Shanghai Jiao Tong University Shanghai 200240 China State Key Laboratory of Ocean Engineering Shanghai Jiao Tong University Shanghai 200030 China

A numerical method is developed to obtain the added mass coefficients of a vehicle running with cavity in numerical simulation for the multiphase flow of the vehicle which is imposed an added vibration and analyzing its hydrodynamic loads. The method is verified through the cases of non-cavitating sphere and ellipsoid. The changing rule of the added mass of a sphere during water exit is gained. Then the influence of cavitation on the added mass of a cylinder is studied. The results show that λ 11, λ22, λ26, λ66 all decrease as the cavitation number reduces and the length of the attached cavity increases. There is almost a linear relationship between the cavity length and λ22 .The base cavity has great influence on λ11 its contribution decreases more than 60%, when the cavitation number changes from 0.6 to 0.2.

关键词： added mass cavity carrying forced vibration method

WATER ENTRY OF A WEDGE BASED ON SPH MODEL WITH AN IMPROVED BOUNDARY TREATMENT

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Journal of Hydrodynamics 2009年第6期21卷 750-757页

作者： GONG Kai LIU Hua WANG Ben-long department of Engineering Mechanics Shanghai Jiao Tong University Shanghai 200240 China State Key Laboratory of Ocean Engineering Shanghai Jiao Tong University Shanghai 200240 China

The hydrodynamic problem of a two-dimensional wedge entering water is studied based on Smoothed Particle Hydrodynamics （SPH） model. A non-reflection boundary treatment for SPH method is proposed to reduce the reflection of sound waves. The boundary pressure is obtained using an improved coupling boundary treatment approach, which is validated by comparing the simulation results with experimental and analytical results in literature. A series of cases with different initial entering velocities are simulated. The maximum force on the wedge and the corresponding time required to reach it for the different cases of initial entering velocities of the wedge are obained and fitted into formulas against the initial entering velocity of the wedge. The maximum drag coefficients of the wedge for the different cases with Froude number greater than 2 are all near the value of 0.91.

关键词： water entry Smoothed Particle Hydrodynamics (SPH) non-reflection boundary

Traveling－Wave　Electrooptical　Modulator　on　Polymeric　Film　with　Reversal　Poling　Structure

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Chinese Journal of Lasers 1994年第1期B3卷 57-61页

作者： ZHOU Yi CHEN Yixin(department of Applied physics, shanghai {3. tong University, shanghai2.003., china)SUN Shiping(department of Electronical Engineering ,shanghai {3. tong University , shanghai 200052, china) shanghai jiaotong Univ Shanghai China

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Ｔｒａｖｅｌｉｎｇ－ＷａｖｅＥｌｅｃｔｒｏｏｐｔｉｃａｌＭｏｄｕｌａｔｏｒｏｎＰｏｌｙｍｅｒｉｃＦｉｌｍｗｉｔｈＲｅｖｅｒｓａｌＰｏｌｉｎｇＳｔｒｕｃｔｕｒｅ￥ＺＨＯＵＹｉ；ＣＨＥＮＹｉｘｉｎ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓ，Ｓ...

关键词： reversal poling Electrooptical effect modulator

s-ordering operator expansions of quantum-mechanical fundamental representations and their applications

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Science china(physics,Mechanics & Astronomy) 2011年第12期54卷 2150-2154页

作者： FAN HongYi 1,3., XU YeJun 2 & YUAN HongChun 3.4 1 department of Materials Science and Engineering, University of Science and Technology of china, Hefei 23.026, china 2 department of physics Electronic and Engineering, Chizhou University, Chizhou 247000, china 3.department of physics, shanghai jiao tong University, shanghai 2.003., china 4 College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213.02, china department of Materials Science and Engineering University of Science and Technology of China Hefei China department of physics Shanghai Jiao Tong University Shanghai China department of physics Electronic and Engineering Chizhou University Chizhou China College of Optoelectronic Engineering Changzhou Institute of Technology Changzhou China

We show that the quantum-mechanical fundamental representations, say, the coordinate representation, the coherent state representation, the Fan-Klauder entangled state representation can be recast into s-ordering operator expansion, which is elegant in form and has many applications in deriving new operator identities. This demonstrates that Dirac's symbolic method can be merged into Newton-Leibniz integration theory in a broad way.

关键词： s-ordering operator expansion operator identities quantum mechanical representation

Relations Between Characteristic Function,Positive P-Representation and Coherent Thermal State

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Communications in Theoretical physics 2007年第7期48卷 67-70页

作者： FAN Hong-Yi XU Xing-Lei department of Material Science and Engineering,University of Science and Technology of china,Hefei 23.026,china2 department of physics,shanghai jiao tong University,shanghai 2.003.,china3.department of physics,Heze University,Heze 274015,china department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China department of physics Shanghai Jiao Tong University Shanghai 200030 China department of physics Heze University Heze 274015 China

We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light ***,the relationship between the coherent thermal state and the characteristic function and the positive Prepresentation in quantum optics theory are obtained.

关键词： coherent thermal state characteristic function positive P-representation

Tissue P systems with parallel rules on channels

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Progress in Natural Science:Materials International 2007年第4期17卷 486-491页

作者： Xu Xian (department of Computer Science and Technology, shanghai jiao {3. University, shanghai 200240, china) department of Computer Science and Technology Shanghai Jiaotong University Shanghai 200240 China

A new variant of P systems as an improvement of the original design is introduced. The P systems here allow parallelism in rules application on synapses (or links, channels), rendering the systems more efficient. We describe the execution mechanism of our P systems, make analysis on its computation power, and illustrate the running by an example.

关键词： tissue P systems parallel rules.