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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 Mechanics 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

ON THE DOMAIN DECOMPOSITION METHOD FOR MORLEYELEMENT-FROM WEAK OVERLAP TO NONOVERLAP

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Journal of Computational Mathematics 1999年第6期17卷 615-628页

作者： Jian-guo Huang(Department of Applied Mathematics, shanghai Jiao Tong University, shanghai 200240,china) 上海交通大学应用数学系上海 200240

In this paper, following our original ideas[9], we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

关键词： Morley element domain decomposition weak overlap

An Iterative Formula for the Reflection Coefficient of Multi-layer Thin Film and Its Application in the Design of Optical All Pass Filter

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Chinese Journal of Lasers 2002年第2期11卷 66-70页

作者： MENG Yichao TAN Weihan HUANG Zhaoming( Institute of Communication and Information, shanghai University, shanghai 200072, china Department of Physics, shanghai University, shanghai 200436, china) Institute of Communication and Information Shanghai University 上海 200072 Department of Physics Shanghai University 上海 200436

In this paper, an iterative formula for the reflection coefficient of the multi-layer thin film is deduced and the design of multi-layer thin film gires-tournois interferometer optical all pass filter(GTI-OAPF) is discussed. The group delay τm ranges from 0. 06 to 460 ps and the bandwidth △ω ranges from 0.068 to 0.0000079 (1015 rad/s). By changing the incident angle θ0, the multi-channel dispersion compensation may be achieved.

关键词： iterative formula for the reflection coefficient optical all pass filter GTI-OAPF

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 Tong 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

EMMA:An Efficient Massive Mapping Algorithm Using Improved Approximate Mapping Filtering

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Acta Biochimica et Biophysica Sinica 2006年第12期38卷 857-864页

作者： Xin ZHANG~1 Zhi-Wei CAO~2 Zhi-Xin LIN~3 Qing-Kang WANG~1* Yi-Xue LI~4 1 Institute of Micro/Nano Science and Technology,shanghai Jiaotong University,shanghai 200030,china 2 shanghai Center for Bioinformation Technology,shanghai 200235,china 3 College of Life Science and Technology,shanghai Jiaotong University,shanghai 200030,china 4 Bioinformation Center of shanghai Institutes for Biological Sciences,Chinese Academy of Sciences,shanghai 200031,china Institute of Micro/Nano Science and Technology Shanghai Jiaotong UniversityShanghai 200030 China shanghai Center for Bioinformation Technology Shanghai 200235 China College of Life Science and Technology Shanghai Jiaotong UniversityShanghai 200030 China Bioinformation Center of shanghai Institutes for Biological Sciences Chinese Academy of SciencesShanghai 200031 China

Efficient massive mapping algorithm (EMMA),an algorithm on efficiently mapping massivecDNAs onto genomic sequences,has recently been *** process of mapping massive cDNAsonto genomic sequences has been improved using more approximate mapping filtering based on an enhancedsuffix array coupled with a pruned fast hash table,algorithms of block alignment extensions,and *** compared with the classical BLAT software in this field,the computing of EMMA ranges fromtwo to forty-one times faster under similar prediction precisions.

关键词： cDNA mapping maximal exact match enhanced suffix array pruned fast hash table extension algorithm

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 Tong 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

A rate based congestion control algorithm in networks with coexisting unicast and multicast sessions

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Journal of University of Science and Technology Beijing 2003年第3期10卷 66-72页

作者： Qian Dong and Jianying XieSchool of Electronics & Information Technology, shanghai Jiaotong University, shanghai 200030, china Sch. of Electron. and Info. Technol. Shanghai Jiaotong Univ. Shanghai 200030 China

The optimal rate control problem in networks with unicast and multiratemulticast sessions is investigated. A penalty function approach is used to solve a convex programformulation of this problem, and then a heuristic rate control algorithm is derived. The algorithmis distributed, and suitable both for source-driven unicast sessions and receiver-driven multicastsessions. To obtain practical viability, the computational burden on core routers as well asend-hosts is kept very low, also is the overhead of network congestion feedback. Simulation resultsshow that the algorithm guarantees TCP (Transmission Control Protocol)-based unicast sessionscoexisting with multirate multicast sessions in a fair and friendly manner. It is also shown thatvarious fairness criteria of resource allocation could be achieved by choosing appropriate utilityfunctions, and resource-utilizing efficiencies would be likewise different.

关键词： multicast unicast congestion control rate control fairness

ON MATRIX UNITARILY INVARIANT NORM CONDITION NUMBER

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Journal of Computational Mathematics 1998年第2期16卷 121-128页

作者： Dao-sheng Zheng (Department of Mathematics, East china Normal University, shanghai 200062, china) 华东师范大学数学系上海

In this paper, the unitarily invariant norm \\.\\ on C-mxn is used. We first discuss the problem under what case, a rectangular matrix A has minimum condition number K(A) = \\A\\ \\A(+)\\, where A(+) designates the Moore-Penrose inverse of A; and under what condition, a square matrix A has minimum condition number for its eigenproblem? Then we consider the second problem, i.e., optimum of K(A) = \\A\\ \\A(-1)\\(2) in error estimation.

关键词： matrix unitarily invariant norm condition number

Weakly nonlinear stability of ultra-thin slipping films

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Progress in Natural Science:Materials International 2005年第9期15卷 827-831页

作者： HU Guohui(shanghai Institute of Applied Mathematics and Mechanics, shanghai University, shanghai 200072, china) shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

A weakly nonlinear theory is presented to study the effects of slippage on the stability of the ultra-thin polymer films. The nonlinear mathematical model is constructed for perturbations of small finite amplitude based on hydrodynamic equations with the long wave approximation. Results reveal that the nonlinearity always accelerates the rupture of the films. The influences of the slip length, film thickness, and initial amplitude of perturbations on the rupture of the films are investigated.

关键词： ultra-thin film weakly nonlinear theory hydrodynamic stability rupture of thin film.