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系統識別號 U0002-1208201300393400
中文論文名稱 可調式算則在空蝕現象的模擬應用
英文論文名稱 Application of Preconditioned Method on the Simulation of Cavitating Flows
校院名稱 淡江大學
系所名稱(中) 航空太空工程學系碩士班
系所名稱(英) Department of Aerospace Engineering
學年度 101
學期 2
出版年 102
研究生中文姓名 王瀚鋐
研究生英文姓名 Han-Hung Wang
學號 600430408
學位類別 碩士
語文別 中文
口試日期 2013-07-18
論文頁數 56頁
口試委員 指導教授-牛仰堯
委員-楊馥菱
委員-曾建洲
中文關鍵字 兩相流  空蝕現象  預調法 
英文關鍵字 Two-Phase  Cavitation  Preconditioning 
學科別分類 學科別應用科學航空太空
中文摘要 本文目的為發展一個非穩態可壓縮多相流含空蝕現象的數值模式。如我們所知,在多相流的計算分析中,不同流體的界面捕捉以及模擬相變化的過程仍然是極大的挑戰。本文將以混合守恆之多相可壓縮Navier-Stokes方程式做為統御方程式,並模擬不可壓縮及可壓縮全流域。我們加入預調法模擬相變化的過程,數值方法則採取Weiss and smith等人[18]所發展出來Precodtion方法,並結合Roe的數值通量分離法處理空間通量的離散,以4階Runge-Kutta method處理時間離散,使程式能在數值穩定與計算時間上求得較佳之平衡。本文驗證之例子為準一維水噴嘴流道以及二維鈍頭體空蝕現象的分析,分析結果與相關實驗的數據比對均能獲得令人滿意的驗證。
英文摘要 The purpose is to develop an unsteady compressible multiphase flow cavitation numerical model. As we know, capturing different fluid interface and simulating phase change process are still a great challenge in the calculation analysis of multiphase flow. This paper use mixing conservation equations of multiphase compressible Navier-Stokes as governing equations. we adopt preconditioned method to simulate phase change process. Numerical methods are taken Precondition method by Weiss and smith et al [18] developed. And we adopt Roe’s flux splitting method to deal with flux discretization in space. A dual-time implicit formulation with 4-order Runge-Kutta method is employed to accommodate the inherently unsteady physics. The program will enable the numerical stability and computation time obtained a better balance. In this thesis, examples of verifications are 1-d nozzle of the flow path and 2-d blunt body cavitation analysis and the results compared with the experimental data can obtain satisfactory for verification.
論文目次 致謝 i
中文摘要 ii
英文摘要 iii
目錄 iv
表目錄 vi
圖目錄 vi
符號說明 vii
第一章 緒論 1
1.1 前言 1
1.2 空蝕係數物理意義 1
1.3 文獻回顧 4
1.4 研究目的 6
第二章 數值計算方法 8
2.1 統御方程式(Governing Equations) 8
守恆方程式 8
預調法(Preconditioning) 9
2.2 狀態方程式 10
I. 液體狀態 11
II. 氣體狀態 11
3.3 數值方法 12
i. Preconditioning Roe 算則 12
ii. Modified Preconditioning Roe算則 15
3.4 紊流模式 17
i. Spalart-Allmaras紊流模型 17
ii. 標準 k-ε 紊流模型 17
3.5 空蝕模式 18
i. Zwart-Gerber-Belamri 模型 19
ii. Schner-Suaer模型 21
第三章 結果與討論 23
3.1 準一維水噴嘴之數值分析 23
3.2 二維鈍頭體空蝕模擬 28
3.2.1 不同的紊流模式的結果之比較 32
3.2.2 不同的空蝕模式的結果之比較 34
3.3 二維突縮管空蝕模擬 36
第四章 結論 41
參考文獻 43

表目錄
表 1準一維噴嘴入口與邊界條件 24
表 2二維鈍頭體流體條件 29
表 3 S-A Model預設參數值 32
表 4 Standard k-ε Model預設參數值 32

圖目錄
圖 1準一維噴嘴的空蝕現象 27
圖 2準一維噴嘴空蝕現象的收斂過程 28
圖 3二維鈍頭體流場網格圖 29
圖 4二維鈍頭體空蝕現象的密度分布與速度粒子軌跡圖 31
圖 5不同紊流模型的鈍頭體表面壓力係數分佈 33
圖 6不同空蝕模型的鈍頭體表面壓力分佈 36
圖 7二維突縮管網格圖 37
圖 8不同紊流模式的突縮管下壁面速度分布圖 39
圖 9二維突縮管空蝕現象之蒸汽體積佔有率 39

參考文獻 [1] 徐唯淵, “多維多相流及空蝕現象數值模擬技術的初步發展”, 中華大學機械與航太工程研究所碩士論文,2007.
[2] Stutz B; Reboud JL, “Experiments on Unsteady Cavitaion” , Experiments in Fluids 22,pp191-198,1997.
[3] Stutz B; Reboud JL, “Two-Phase Flow Structure of Sheet Cavitation” , Phys Fluids 9,pp3678-3686,1997.
[4] Jiangong Qin, “Numerical Simulation of Cavitating Flows by the Space-Time Conservation Element and Solution Element Method”, Phd Thesis, Wayne state University,Detroit,Michigan,2000.
[5] David P.Schmidt; Christopher J.Rutland and M.L.Corradini, “A Fully Compressible Two-Dimensional Model of Small High-Speed Cavitating Nozzle”, Atomization and Sprays,Vol.9,pp255-275,1999
[6] Delannoy Y and Kueny JL, “Two Phase Flow Approach in Unsteady Cavitation Modelling” ,Cavitation and Multiphase Flow Forum,ASME-FED,Vol.98, pp153-158,1990
[7] Kubota A; Kato H and Yamaguchi H, “A New Modelling of Cavitating Flows: A Numerical Study of Unsteady Cavitation on A Hydrofoil Section” ,Journal of Fluid Mechanics,Vol.240,pp59-96,1992
[8] Schnerr G.H and Sauer J, “Physical and Numerical Modelling of Unsteady Cavitation Dynamics” , 4th International Conference on Multyphase Flow, ICMF-2001,New Orleans, USA, 2001.
[9] Frobenius M; Schilling R; Bachert R and Stoffel B, “Three-Dimensional, Unsteady Cavitation Effects on a Single Hydrofoil and in a Radial Pump– Measurements and Numerical Simulations” ,Numerical simulation Part2, Proceedings of the Fifth International Symposium on Cavitation, Osaka, Japan, 2003.
[10] Zhang Y; Gopalan S and Katz J, “On the flow structure and turbulence in the closure region of attached cavitation” ,22nd ONR Symp,Naval Hydrodynamics, pp. 227–238, 1998.
[11] Singhal A.K; Li H; Atahavale M.M and Jiang Y, “Mathematical basis and validation of the full cavitation model” , J. Fluids Engrg. 124,617–624, 2002.
[12] Merkle C.L; Feng J and Buelow P.E.O, “Computational modeling of the dynamics of sheet cavitation” , 3rd Int. Symp. on Cavitation,Grenoble, France, 1998.
[13] Kunz R; Boger D; Chyczewski T; Stinebring D and Gibeling H, “Multi-phase CFD analysis of natural and ventilated cavitation aboutsubmerged bodies” , ASME FEDSM99-7364, SAN Francisco, 1999.
[14] Inanc Senocak and Wei Shyy, “A pressure-based method for turbulent cavitating flow simulations”, J. Comput. Phys. 176,pp363–383, 2002.
[15] Laberteaux K.R and Ceccio S.L, “Partial cavity flows. Part 1. Cavities forming on models without spanwise variation”, J. Fluid Mech. 431,pp 1–41, 2001.
[16] Laberteaux K.R and Ceccio S.L, “Partial cavity flows. Part 2. Cavities forming on test objects with spanwise variation”, J. Fluid Mech. 431,pp 43–63,2001.
[17] Matevž Dular; Rudolf Bachert; Bernd Stoffel and Brane Širok, “Experimental evaluation of numerical simulation of cavitating flow around hydrofoil”, European Journal of Mechanics B/Fluids 24,pp522–538, 2005.
[18] Weiss J.M and Smith W.A, “Preconditioning Applied to Variable and Constant Density Flows” , AIAA Journal Vol.33,No.11,pp2050-2057,1995
[19] Byeong Rog Shin; Satoru Yamamoto and Xin Yuan, “Application of Preconditioning Method to Gas-Liquid Two-Phase Flow Computations.” Journal of Fluids Engineering Vol. 126,pp605-612,2004.
[20] Jack R. Edwards and Meng-Sing Liou, “Low-Diffusion Flux Splitting Methods for Flows at All Speeds”, AIAA Journal,pp1610-1617,38,1998.
[21] Rouse H. and McNown J.S, “Cavitation and Pressure Distribution: Head Forms at Zero Angle of Yaw”, State Univ. of Iowa Engineering Bulletin 32,Ames, IA,1948.
[22] ANSYS FLUENT 14.0 User’s Guide
[23] 林於金, “雙方程雙相流模式之數值計算”, 中華大學機械與航太工程研究所碩士論文,2006
[24] 林益民, “相變化對兩相流體運動影響之數值解析”, 中華大學機械與航太工程研究所碩士論文,2004
[25] Philip J. Zwart; Andrew G. Gerber and Thabet Belamri, “A Two-Phase Flow Model for Predicting Cabitation Dynamics”, ICMF,No. 152,2004.
[26] C.E. Brennen,“Cavitation and Bubble Dynamics.”,Oxford University Press, 1995
[27] Singhal A.K, Li H.Y, Athavale M.M and Jiang Y.,“Mathematical Basis and Validation of the Full Cavitation Model.”, ASME FEDSM'01, New Orleans, Louisiana, 2001.
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