FLUENT-Y_Plus

用于学习LBM对流体的研究，可以加深对LBM的理解(LBM fluid)

有效集法利用数学规划的对偶理论,将所求双层规划转化为一个下层只有一个无约束凸二次子规划的双层规划问题.然后根据两个双层规划的最优解和最优目标值之间的关系,提出一种简单有效的算法来解决非增值型凸二次双层规划问题.(Quadratic Bilevel Programming 　)

c/C++跟fortran语言之间的一些转换(c/C fortran language with the conversion between)

管型燃烧固体火箭发动机压强建立过程计算程序 输入为比热比，燃气气体常数，点火温度，推进剂密度，装药直径（内径和外径），喷管喉部直径，装药体积，燃速相关常数 输出为压强和工作时间(tube type of solid rocket motor combustion pressure build process calculation programs for heat input than, gas gas constant, the ignition temperature, propellant density, charging diameter (inside and outside), nozzle throat diameter, charging volume, burning rate pressure and related constant output to work time )

本程序提供大量实用多项式计算函数：求一维实(复)多项式值、求一维多项式组值、求二维实(复)多项式值、两一维多项式相乘、两一维多项式除法、计算连分式函数值。(look it yourself.)

用于有限元软件Abaqus分析材料断裂的粘结区模型（CZM）子程序，由著名学者高彦飞编程，具有很高的参考价值。(ABAQUS allows the addition of a variety of user subroutines. We define a user element by UEL. Information of element and nodal displacements can be obtained from ABAQUS, and we update the stiffness matrix and the residual vector following the cohesive zone law. More coding details can be found in ABAQUS manual.)

将字符串合并的时候要注意中间的空格，否则可能在合并时出错。我调试了好久才发现(combine the string,essential to focus the length of string)

四阶龙格库塔算法，用来求解二阶偏微分方程，在转子系统的动力学方程数值求解中普遍应用(Runge Kutta algorithm)

打靶法求微分方程边值问题，这是数学上的求取方程问题的边值的方法 (Shooting method for boundary value problems for differential equations, which is to strike a mathematical equation of the boundary value problem approach)

对流扩散方程一维的有限差分法，有限元法，特征有限差分法，特征有限元法代码(Convection diffusion equation of one dimensional finite difference method, finite element method, characteristic finite difference method, characteristic finite element method (fem) code)