[muchong.com]MATLAB在计算物理中的应用

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说明：  基本图论函数库，应用matlab程序，实现路径规划问题(The MatlabBGL library fills a hole in Matlab s suite of algorithms. Namely, it provides a rich set of algorithms to work with graphs, as in graph theory graphs. The MatlabBGL package uses Matlab s native sparse matrix type as a graph and provides algorithms that work)

根据 Cijkl 计算各向异性介质不同方向的速度(According to Cijkl, the velocities of anisotropic media in different directions are calculated)

下面我们将给出一些基于Galerkin有限元法的微型泵模拟结果，模拟过程在商业软件COMSOL Multiphysics 3.2中实现。数值求解采用压力修正算法——SIMPLE，它首先假设一个压力场，然后通过求解不可压缩流动的Navier-Stokes方程得到速度场。这些速度不需要满足Possion型连续方程，所以对压力场的修正也带来速度场的修正，最终满足质量守恒。求解速度场的同时计算电势场方程。这会得到Lorentz力，然后将其反馈回N-S方程并作为体积力处理。连续耦合Lorentz力和速度场直到Newton迭代收敛。 (Below we will give some micro-pump simulation results based on the Galerkin finite element method, the simulation process in the commercial software COMSOL Multiphysics 3.2. The numerical solution of pressure correction algorithm- the SIMPLE, it begins by assuming a pressure field, and then by solving the incompressible Navier-Stokes equations, the velocity field. These velocities do not need to satisfy the continuity equation of Possion type pressure field correction to bring the amendment of the velocity field, and ultimately to meet the conservation of mass. Solving the velocity field at the same time to calculate the potential field equations. This will be the Lorentz force, and then fed back to the NS equations and processing as a volume force. Continuous coupling of the Lorentz force and the velocity field until the Newton iteration convergence.)

市场最优配置，通过拉格朗日算子进行计算，并派出最优方案 (Market, the optimal configuration, through the Lagrangian operator is calculated, and to send the optimal program)

一个短时傅里叶变换的C语言实现，对3万个数据进行加窗、FFT处理(A short time Fourier transform of C language, for 30,000 data windowing, FFT processing)

该程序是正定矩阵的Cholesky分解实例，Cholesky是矩阵分解常用的方法(The procedure is the Cholesky decomposition of positive definite matrix example, Cholesky matrix decomposition is a commonly used method)

工程领域，PR方程代码.用于计算混合工质性质。(PR equation code)

说明：  finite element theory

有限元法边界元法求解二维散射问题，非常有用(Finite element method for solving two-dimensional boundary element method scattering problem, very useful)