气体高斯扩散模型模拟_代码

说明：  Atef《MATLAB模拟的计算电磁学时域有限差分发》书后完整的MATLAB程序集合(Complete set of MATLAB programs of "Computational Electromagnetics Simulated by MATLAB Finite-Difference Time-Domain Distribution" by Atef)

高斯扩散模式适用于均一的大气条件，以及地面开阔平坦的地区，点源的扩散模式。排放大量污染物的烟囱、放散管、通风口等，虽然其大小不一，但是只要不是讨论烟囱底部很近距离的污染问题，均可视其为点源。(The Gauss diffusion model is applied to homogeneous atmospheric conditions, as well as to ground open flat regions, and to point source diffusion patterns. Chimneys, pipes, vents, etc. that emit large quantities of pollutants, although they vary in size, can be regarded as point sources as long as they do not discuss the pollution problems near the bottom of the chimney.)

说明：  顶盖驱动流是不可压缩黏性的典型流动，可以用来检验各种数值算法计算精度和可靠性，目前尚不能求得它的解析解。基于Fortran 编程，采用 SIMPLE 算法求解二维方腔流动，得到流动达到稳定状态时各物理量的分布。(Lid-driven cavity flow is an incompressible viscous flow, which can be used to test the accuracy and reliability of various numerical algorithms. In this paper, based on the Fortran programming, SIMPLE algorithm was used to solve the lid-driven cavity flow. The distribution of physical quantities in the stable state was obtained.)

实现快速分数阶傅里叶变换功能。分数阶傅里叶变换是整数傅里叶变换的普遍形式，可用于光的菲涅尔衍射模拟。(The function of fast fractional Fourier transform is realized. Fractional Fourier transform is a general form of integer Fourier transform, which can be used to simulate Fresnel diffraction of light.)

matlab模拟几何光线追迹，计算双胶合透镜的像差(simulate the geometric ray tracing and calculate the aberration of double with matlab)

目前三维的混凝土建模很少见，随机球形骨料在受限空间（球体）随机分布模型,本人自己编写，具有原创性。动画显示建模过程。三种粒径不同的骨料随机分布。模拟混凝土材料的过程。有助于后续有限元计算。(Random spherical aggregate in the restricted space (sphere) random distribution model, I write it myself, with originality. Animation shows the modeling process. Three kinds of aggregates with different particle sizes are randomly distributed. The process of simulating the concrete material. It is helpful to the subsequent finite element calculation.)

分层的一维热传导方程的有限差分法MATLAB程序，是简单的显式差分格式，尽量使用了矩阵运算，没有符号运算。 文件chafen1.m以路面为例，假设有多层建筑材料，热传导系数已经在代码中给出。用户使用时请按自己需要修改chafen1.m文件，增减层数，修改热传导系数等即可。(One-dimensional heat conduction equation finite difference method MATLAB program, is a simple explicit difference format, as far as possible use of matrix operations, no symbolic operations The file Chafen 1.m takes the road surface as an example, assuming that there are multiple layers of building materials, the thermal conductivity is given in the code. Users should modify the Chafen 1.m file according to their own needs, increase or decrease the number of layers, modify the thermal conductivity and so on.)

功能为求解系数矩阵为三对角矩阵或者循环三对角矩阵的线性方程。 输入的四个参数均为行向量，分别对应系数矩阵的上副对角线，主对角线，下副对角线，以及方程等号另一侧的常数矩阵(The four parameters of the input are line vectors, which correspond to the upper diagonal lines of the coefficient matrix, the main diagonal line, the lower diagonal line, and the constant matrix on the other side of the equation.)

平面波从石英玻璃入射到空气中的P、S分量的反射波相位和透射波相位随入射角度的变化(The phase of the reflected wave and the phase of the transmitted wave of the plane wave from the quartz glass to the air in P and S vary with the angle of incidence.)

一维和二维Airy光场的输出，以及不同距离的传输模拟。自加速过程模拟(Simulation of Airy Beam)