PISO理論推導與流體動力之分析

Theoretical Derivation and Analysis of Fluid Dynamic Using PISO

鍾昀洲(YUN-CHOU CHUNG)

指導教授 ： 林炳昌 ； 王仁佐

中原大學/工學院/土木工程研究所/碩士(2012年)

https://doi.org/10.6840/cycu201200638

摘要

本文主要研究計算流體動力學(Computational Fluid Dynamic ,CFD)數值分析方法之有限體積法(Finite Volume Method, FVM)中三維交錯網格的SIMPLE (Semi-Implcit Method for Pressure Linked Equations)與PISO (Pressure-Implicit Split Operator)方法。本研究之特點在於SIMPLE與PISO有詳細完整的推導過程，並且撰寫程式。差分格式計算方法主要採用一階中央差分。為了驗證非交錯網格有限體積法程式的正確性，分析一維與二維熱傳數值分析算例，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。

關鍵字

PISO ； SIMPLE ； 交錯網格 ； 有限體積法 ； 計算流體動力學

並列摘要

In this study, the three-dimensional computational fluid dynamic (CFD) using finite volume method (FVM) is investigative. The FVM for Semi-Implcit Method for Pressure Linked Equations (SIMPLE) and Pressure-Implicit Split Operator (PISO) are considered. In this case, the detailed and the complete derivation of the SIMPLE and PISO are represented. In addition, the numerical program for SIMPLE and PISO are developed. Differential formulation for two methods is first-order derivative (central difference method, CDM). In order to verify the accuracy of three-dimensional non-staggered grid FVM program, one -dimensional and two-dimensional numerical example for CFD are analyzed. According to the numerical results, it confirms the effective and accurate of this numerical program.

並列關鍵字

PISO ； CFD ； FVM ； Staggered grid ； SIMPLE

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