本課程介紹流體、流動與熱傳的基礎現象與原理。闡述數值方法的基本構成要素、性質以及其限制，並列舉不同的數值離散方法。說明有限差分法與有限體積法的基本原理以及線性聯立方程組求解方法。討論求解暫態問題的時間步進方法，並示範聶維爾史托克方程組的求解方法。介紹紊流以及可壓縮流問題的處理方法，敘述處理複雜幾何外形的網格方法與策略，並提出可增加計算效率與精度的方法。同時藉由偏微分方程組求解器與計算流體力學軟體的實作，建立學生使用有限體積法分析流體力學與熱傳學問題的能力。
This lecture starts with the basic concepts of fluids, flows and heat transfer. The components and properties as well as the limitations of numerical methods are then addressed, where different discretization approaches are examined. The fundamental principles of finite difference methods and finite volume methods are subsequently introduced followed by the investigation of various approaches for solving the linear equation systems. The time-marching methods for unsteady flow and heat transfer problems are surveyed, whereas the solution methods for the Navier-Stoke equations are demonstrated. The turbulent and compressible flow problems are also discussed together with the grid issues arising from complex geometries. The strategies for improving the computational efficiency and accuracy are reviewed. Hand-on hours of PDE solver platform and commercial CFD software are employed to the application of the principles of finite volume methods to the fluid dynamics and heat transfer problems.