六方程對多相流含相變化的數值模擬

Investigating a six-equation model for compressible multiphase reactive flows with phase transition effects

黃子建(Tzu-Chien Huang)

指導教授 ： 牛仰堯

淡江大學/工學院/航空太空工程學系碩士班/碩士(2021年)

https://doi.org/10.6846/TKU.2021.00164

摘要

本文目的在於探討六方程模型加上不同的熱或質量交換，以及使用不同介面重建法，針對問題找出較佳的數值模擬結果。本研究所使用的六方程模型可針對計算條件來決定是否開啟熱或質量交換，而使用的介面重建法有MUSCL, THINC, 以及可藉由權重因子調整兩個方法比例的AMT，而本研究中使用的AMT方法中的權重因子參數有三種，包含原本的壓力梯度、新的體積分配梯度和另一種形式的權重因子，藉由以上數值方法，針對一維及二維問題做測試。從一維結果可以得知此模型可用於空蝕現象，二維主要著重在側向噴流的模擬，在震波的捕捉有很好的解析度。

關鍵字

六方程 ； 多相流 ； 相變化 ； 噴流 ； 震波 ； 汽化 ； 空蝕現象

並列摘要

The purpose of this article is to explore the six-equation model with heat or mass transition and use different cell-interface reconstruction methods to find better numerical simulation results for the problems. The six-equation model used in this article can determine whether to turn on heat or mass transition according to the conditions of the problems. The cell-interface reconstruction schemes used in this article include MUSCL, THINC, and AMT method which can adjust the ratio of the two methods by weighting factor. There are three weighting factor parameters in the AMT method used in this study, including the original pressure gradient, the new volume distribution gradient, and another form of weighting factor. With the above numerical methods, we test one-dimension and two-dimension problems. From the one-dimension problem, it can be known that the six-equation model can be used for cavitation phenomenon. The two-dimension results mainly focus on the simulation of side-jet problem and has a good resolution in capturing shock waves.

並列關鍵字

six-equation ； multi-phase flows ； phase transition ； side jet ； shock waves ； evaporation ； cavitation

參考文獻

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