课程围绕着计算流体力学的方法，重点介绍流动、传热问题所涉及微分方程的有限差分法和有限体积法，及针对各种流体条件的求解方法。内容将包括单相流、两相流、湍流、自由表面、可压缩和不可压缩流等问题的数值求解方法。求解方法包括流函数法、SIMPLE法、MAC法、IPSA法、k-模型、界面跟踪法、网格生成法等主要方法。

Finite Difference Approximation in 1-D and 2-D. Solution of steady and un steady heat conduction equations. Modern Iterative Techniques Conjugate Gradient Method, Krylov Subspace Method, Preconditioning. Finite Element Method, Energy Theorem and integral equations, Weighted Residual Ap-proximations, Point and sub domain collocations, Galerkin Method, Varia-tional Principles, Lagranges multipliers. Interpolation Function, Lagranges interpolation, B-spline, Bezier curves. Response Surface Method 2K+1, facto-rial design, 3k factorial design. Monte Carlo Method. Artificial Intelligence and Genetic Algorithm. Artificial Neural Network. Gram-Schmidtt Orthogo-nalization. Transformation of matrix. Probability Distribution: continuous and discrete random variables, commonly used probability distributions, Extreme value distributions.