复杂排沙廊道泄流能力分析研究

排沙廊道是水电站设计中常见的一种建筑物,在工程设计中对于一些形态弯曲、结构及流态复杂的排沙廊道,目前能有效测算其泄流能力的计算公式并不多见。以南盘江大桥水电站为例,基于水电站首部枢纽水力学模型试验资料成果,以能量方程为基础,从单位流量所产生的阻力损失进行分析,建立了本工程复杂廊道泄流能力计算公式,计算成果同模型试验成果相吻合,可供类似工程设计参考,也为类似复杂建筑物泄流能力分析提供了研究思路。     

BOUSSINESQ MODELLING OF NEARSHORE WAVES UNDER BODY FITTED COORDINATE

A set of nonlinear Boussinesq equations with fully nonlinearity property is solved numerically in generalized coordinates,to develop a Boussinesq-type wave model in dealing with irregular computation boundaries in complex nearshore regions and to facilitate the grid refinements in simulations.The governing equations expressed in contravariant components of velocity vectors under curvilinear coordinates are derived and a high order finite difference scheme on a staggered grid is employed for the numerical implementation.The developed model is used to simulate nearshore wave propagations under curvilinear coordinates,the numerical results are compared against analytical or experimental data with a good agreement.     

基于单片机的逻辑电路设计

在一般的电子产品中都会涉及到定时器、报警器、控制器等逻辑电路,人们也经常会想到经典的TTL和COMS等中小规模的逻辑电路器件,不同的器件其参数和引脚功能也不一样,在设计过程中要求设计人员必须熟悉各种不同厂家和不同型号的产品,这给设计人员带来很大的麻烦。论述了可以解决这些问题的,基于51单片机的逻辑电路的设计方法,分析了单片机的逻辑电路功能。     

一类两阶非齐次复微分方程解的增长性

研究了一类线性非齐次微分方程f″+e-zf’-e-zf=H(z)解的增长性问题,其中H(z)为级小于1的整函数,得到这类方程的任意非零解都具有无穷增长级.     

Prüfer method for periodic and semi-periodic sturm-liouville eigenvalue problems ∗

In reference [19], the authors developed a shooting algorithm for Sturm-Liouville eigenvalue problems associated with periodic and semi-periodic boundary conditions. The technique is based on the application of the Floquet theory, and it has proven to be efficient for computing eigenvalues. However, the performance of this technique depends upon the choice of the starting eigenvalues. In the present paper, we continue our study and employ the Prüfer method. An attractive property of this method is that eigenvalues can usually be accurately computed even when no information on the eigenvalue distribution is provided. Sufficient conditions for convergence, error bounds and a procedure to improve the stability are discussed. Some numerical examples are given to illustrate the effectiveness of the proposed method.     

Cyclic reduction algorithm for solving collocation systems

In this paper, we present cyclic reducation and FARC algorithms for solving spline collocation system. The costs of these algorithms are 0(N ²logN) and O(N ²log logN) respectively, for an N x N grid.     

矩阵方程AXB＋CXD=F的广义中心对称解的算法析

应用共轭梯度迭代算法求解方程AXB＋CXD=F的广义中心对称解及其最佳逼近．应用此迭代算法,在迭代过程中方程的相容性可以自动地判断．当矩阵方程AXB＋CXD=F有解时,在有限的误差范围内,对任意初始广义中心对称矩阵X1,运用迭代算法,方程的广义中心对称解可经过有限步迭代得到;选取适当的初始矩阵,可以迭代出极小范数广义中心对称解．并且,对任意的矩阵瓦,矩阵方程AXB＋CXD=F的最佳逼近解可以通过迭代求解新的矩阵方程AXB＋CXD=声的极小范数广义中心对称解得到．     

四阶泛函微分方程周期解的存在性和全局吸引性

研究四阶泛函微分方程x^（4）（t）＋a1x^′′′（t）＋a2x^′′（t）＋a3x^′（t）＋a4x（t）＋g（t,x（t—τ））=p（t）的周期解问题．首先将该方程转变为四维的拟线性微分方程（组）,得到该方程存在唯一周期解的充分条件;然后通过选取适当的李雅普诺夫函数,推导方程任一解的全局吸引性,并进一步得到方程周期解的全局吸引性．最后,通过实例证实了本文结果的正确性．     

Appell方程Mei对称性的新型守恒量

研究完整系统Appell方程的Mei对称性导致的新型守恒量。首先,研究一般无限小变换的Mei对称性;其次,得到系统 Mei 对称性直接导致的守恒量的条件和形式;最后,举例说明结果的应用。