clusterinquest

自己写了一个二维Euler方程的间断有限元程序 上次发了一个三角形单元的程序 因为不是曲边单元 所以在圆柱后面容易形成涡 现在把程序改为曲边四边形单元了 没有涡出现 单元是8节点四边形单元 节点编号顺序是 1 5 2 6 3 7 4 8 也就是四个角点依次 是1 2 3 4 然后是边的中点编号 5 6 7 8. 时间推进采用 Runge-Kutta 方法 数值通量采用全局Lax-Friedrichs通量 仍然不能捕捉激波 因为没有做重构或者加人工粘性 等这个做出来了 再发一次。 程序没有进行优化 比如说内存的消耗没有优化 比如直边单元的边界积分仍然采 用了曲边的积分方法 增加了计算量 比如面积分、线积分都是采用的是Gauss- Legendre-Lobatto积分 积分精度会比一般的Gauss-Legendre积分精度低一阶 等 等问题。 二维的 纯属交流性质 就没有考虑这些问题 ^_^ 如果物面全部是直边 那么只要改变一个参数N 就可以获得不同的计算精度 且具 有谱精度 因为单元的节点是Gauss-Legendre-Lobatto积分点。 其实就是谱元法 （物面是曲边的情况我不清楚是不是也可以通过提高基函数的阶数 也就是增加N 来提高计算精度）(Wrote a two-dimensional Euler equations with discontinuous finite element program Last made ​ ​ a triangular element of the program, not curved edge unit is so easy to form a vortex in the cylinder behind the Program to curved edge quadrilateral element vortices appear Unit is the order of 8-node quadrilateral element node number is 15,263,748 which is the four corners of the points in turn Is 1234 and then the side of the midpoint of the number 5678. Time promote the use of Runge-Kutta method Numerical flux of the overall situation of Lax-Friedrichs, flux Still can not capture the shock wave did not do the reconstruction or artificial viscosity do it Zaifayici. The program is not optimized for example, memory consumption is not optimized such as straight-edge boundary integral of the unit is still mining Integral method to increase the amount of computation such as surface integral with a curved edge, the line integral using the Gauss- The Legendr)

QR分解法是目前求一般矩阵全部特征值的最有效并广泛应用的方法，一般矩阵先经过正交相似变化成为Hessenberg矩阵，然后再应用QR方法求特征值和特征向量。它是将矩阵分解成一个正规正交矩阵Q与上三角形矩阵R，所以称为QR分解法,(QR decomposition )

读入红细胞图片，通过中值滤波，开运算算，闭运算，和贴标签等方法获得细胞个数 (Read into the red blood cell picture, opening operation count median filtering, and closing operation, and the labeling methods such as cell number)

可以实现十几位整数的四则运算，效率也较好(Four operations can be more than a dozen integer,and the efficiency is better)

多目标遗传算法，求得pareto最优解集，可以用于各种工程的数学计算(Multi-objective genetic algorithm, pareto optimal solution set is obtained, can be used for a variety of engineering mathematics)

vc++实现编译原理中的LL(1)文法的编译过程,非常好用.(vc realization of the principle of compiler LL (1) grammar compiler course, very handy.)

说明：  几种模幂算法，有传统模幂，SMM模幂，基于2的K次方的模幂和最一般的模幂算法，还有为这些模幂算法建立的WINDOWS对话框。可以方便的运行。(algorithm, the traditional mode power, SMM Modular Power, Based on two of the K-th power module and the most common mode power algorithm, These modules also for the establishment of the algorithm Power Windows dialog box. To facilitate the operation.)

交错网格声波方程交错网格有限差分地震波场计算波场正演模拟。 (The CalCulation of the SeismiC Wave一 fieldwith Staggered-grid Finite difference Sheme )

潮流计算，IEEE30节点的潮流计算，和牛顿法的程序报告 (power flow)

合肥工业大学数值分析（计算方法A）中高斯—塞德尔算法的实现(Gauss- Seidel Algorithm)