matlab-fluent-and-heat-transfer

Abaqus定义材料本构用户子程序-VUMAT(Abaqus defined material constitutive user the subroutine-VUMAT )

二阶微分方程组，采用龙格库塔法求解，将二阶降为一阶之后在求解。(Second-order differential equations, using the Runge-Kutta method to solve the second-order reduced to an order after solving.)

基于信任域算法求解rosenberg函数的极小值问题(Trust region algorithm for solving the rosenberg function minimum value)

说明：  基于python的多项式曲线拟合，本程序以1 3 5 9次为例子。(Based on the polynomial curve fitting of python, this program takes 1 3 5 9 times as an example.)

共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一(Conjugate gradient method (Conjugate Gradient) is between the steepest descent method and Newton' s method between a method that takes only a first derivative information, but to overcome the slow convergence of the steepest descent method shortcomings, but also avoid the need to store Newton and computing the inverse Hesse matrix and disadvantages, conjugate gradient method is not only to solve large linear equations of the most useful methods, large-scale nonlinear optimization solution is the most efficient algorithms)

The Fast Hartley Transform (FHT) implementation.

自己编写的一个正弦函数频谱的估计，利用FFT函数实现，有详细注释，方便理解，附带仿真图一张(A sine function spectrum estimate their preparation, the use of FFT function implementation, detailed notes, easy to understand, with a simulation map)

说明：  应用龙格库塔算法求解动力学微分方程，求解时域数据(Solving dynamic differential equation with Runge Kutta algorithm)

说明：  对常微分方程进行数值解的matlab函数(Matlab function for numerical solution of ordinary differential equation)

用Roe格式的一阶迎风差分方法解决欧拉方程的黎曼问题(Solves the Riemann problem for the Euler equations using Roe s first-order upwind method )