求勒让德递推公式

一维 问题，即激波管问题，是一个典型的一维可压缩无黏气体动力学问题，并有 解析解。对它采用二阶精度 两步差分格式进行数值求解。(Use MacCormack difference scheme for solving a two-dimensional shock tube problem)

Study on Laminar Two-Dimensional Lid-Driven Cavity Flow with Inclined Side Wall

ABAQUS UMAT code 适用于平面应变，轴对称的黏弹塑性线性应变硬化材料，适用于大变形。(The ABAQUS UMAT code applies to plane strain, axisymmetric viscoelastic plasticity linear strain hardening material, suitable for large deformation.)

相场法基础书籍的配套计算代码，对于学习相场法的基础同学来说极其有用(The supporting calculation code of the phase field basic book is extremely useful for the students who are studying the basic method of the phase field method.)

Solver for linear ecuations system (SOR-successive over relaxation), very usefull!!.

the IEEE Bus systems built in pscad software , the included model is 118 ieee buses test system. IEEE bus systems are used by researchers to implement new ideas and concepts. This technical note describes the details of the IEEE 118-bus system. The system consists of loads, transmission lines, and generators.

混凝土收缩徐变， 多用于结构分析和混凝土结构施工阶段计算(Concrete shrinkage and creep are mostly used for structural analysis and concrete structure construction stage calculation.)

说明：  涡流计算的流场程序，适合于流场初级者的研究(Vortex flow calculation procedure is suitable for those who study the primary flow field)

建立水声信道的射线模型在工程应用上有重要的意义。射线声学是把声波的 传播看作是一束无数条垂直于等相位面的射线的传播，每一条射线与等相位面相 垂直，称为声线。声线途经的距离代表波传播的路程，声线经历的时问为波传播 的时间。声线束所携带的能量即为波传播的声能量。与几何光学相似，射线声学 的描述方法给人直观的感觉，在一定的条件下，射线声学的数学运算也比较简捷， 由射线理论给出的声线图可以给声场以直观、形象的理解。 本模型可以准确的衡量声波在海洋中传播路径(Establishing ray model of underwater acoustic channel is of great significance in engineering application. X-ray acoustics refers to sound waves. Propagation is regarded as the propagation of a bunch of innumerable rays perpendicular to the isophase plane, each ray being in phase with the isophase plane. Vertical, called sound line. The distance through which the sound line Travels represents the distance of the wave propagation, and the time that the sound line experiences is the wave propagation. The time. The energy carried by the sound beam is the sound energy of wave propagation. Like geometric optics, ray acoustics The descriptive method gives people an intuitive feeling. Under certain conditions, the mathematical operation of ray acoustics is relatively simple. The sonogram given by ray theory can give an intuitive and visual understanding of the sound field.Accurate measurement of sound wave propagation in the ocean)

利用此程序可以模拟二维Ising模型，并且利用了统计平均得思想，可以找到系统能量，磁化强度，磁化率以及热容的相变点(Ising model)