本文主要研究計算流體動力學（Computational Fluid Dynamic, CFD）數值計算分析方法之有限體積法（Finite Volume Method, FVM）中三維交錯網格的SIMPLE（Semi-Implicit Method for Pressure Linked Equations）與PISO（Pressure-Implicit Split Operator）方法，以及計算有限體積法中離散方程的各種差分方法。本研究之特點在於SIMPLE與PISO以及差分方法有詳細的一維至三維推導過程。爲了驗證非交錯網格有限體積法的正確性，分析了一維與二維熱傳數值分析算例，以及一維與二維穩態對流擴散問題分析算例，由分析結果可得知數值解與解析解結果接近，證明了本研究所撰寫程式之精確性。;In this study, the three-dimensional computational fluid dynamic(CFD) using finite volume method(FVM) is investigative. The FVM for Semi-Implicit Method for Pressure Linked Equations(SIMPLE) and Pressure-Implicit Split Operator(PISO) are considered. And various difference methods for calculating discrete equations in the finite volume method. The characteristic of this study is that the SIMPLE method and the PISO method and the difference method have a detailed one-dimensional to three-dimensional derivation process. In order to verify the correctness of the non-staggered grid finite volume method, one-dimensional and two-dimensional heat transfer numerical analysis examples and one-dimensional and two-dimensional steady-state convection diffusion analysis examples are analyzed. From the analysis results, we can know that the numerical solution and the analytical solution are close, which prove the accuracy of the program written in this research.
