臺灣博碩士論文加值系統

本文使用商用軟體ESI CFD來研究穿音速流通過機翼釋放MK-82彈體之高度與前彈射力變化的數值分析，在卡式座標系統下求解三維非穩態Euler方程式和6-DOF剛體運動方程式，使用Chimera網格系統，讓不同區塊網格流場資料各自計算，而重疊區的格點資訊互相傳遞。將機翼、MK-82彈體兩者流場耦合並分析6-DOF剛體運動方程式獲得計算結果，其彈體重心、翻滾角計算之結果與實驗值比對後趨勢接近，進而使用不同高度的條件進行機翼釋放彈體數值模擬。機翼分別在1200公尺、6000公尺、11600公尺處釋放MK-82彈體，探討機翼分離彈體的軌跡，另外加上前彈射力四倍、前彈射力八倍分析其物理變化。當前彈射力增大時，X軸向後移動量趨勢接近；Y軸向翼尖偏移量隨著前彈射力增加而稍微減少；Z軸向下掉落量則隨著前彈射力增加而明顯增加。

In this thesis, the commercial software ESI CFD FASTRAN is used to study the transonic flows over a MK-82 store released from a wing with altitude variation and forward ejector force variation. Three-dimensional unsteady Euler equations and six degree of freedom (6-DOF) rigid body motion equations are solved in the Cartesian coordinate. The Chimera grid system is used and the information of multiple blocks is calculated separately. Grid communication among multiple blocks is automatically implemented to obtain calculated results by coupling flow fields between a MK-82 store and a wing and 6-DOF rigid-body motion equation. To evaluate the accuracy of the present calculation, the calculated store instantaneous trajectory of center of gravity of store, angles of roll are compared with those of experimental data. The results are in good agreement with the experimental data. Store separation at 1200m, 6000m and 11600m is employed to investigate the trajectory of the MK-82 store. In addition, the forward ejector force is added including four and eight times to analyze the physical variation of the store. When the forward ejector force is increased, the backward movement of the store in longitudinal axis tends to be similar. The movement to wingtip in lateral axis is reduced slightly, and the downward movement in vertical axis is increased obviously.

摘要... i
Abstract... ii
誌謝... iii
目錄... iv
表目錄... vi
圖目錄... vii
符號說明... ix
第一章 前言... 1
1.1 研究動機... 1
1.2 研究目的... 1
1.3 參考文獻... 2
第二章 分析... 9
2.1 物理模式... 9
2.2 流場守恆方程式... 10
2.2.1 非運動架構的流場守恆方程式... 10
2.2.2 可移動/變形控制體積的流場守恆方程式... 11
2.3 運動方程式... 12
2.4 Chimera解法... 13
2.5 空間數值方法... 14
2.6 時間數值方法... 15
2.6.1 區集對角(Block Diagonal)隱式解法... 15
2.6.2 Jacobi疊代隱式解法... 15
第三章 數值方法及驗證... 16
3.1 研究方法... 16
3.2 網格系統配置... 16
3.3 機翼釋放單顆彈體結果驗證... 17
3.3.1機翼幾何形狀... 17
3.3.2派龍幾何形狀... 17
3.3.3彈體幾何形狀... 18
3.3.4機翼、派龍與彈體網格格點配置... 18
3.3.5程式測試與結果驗證... 19
3.4 機翼釋放MK-82彈體結果驗證... 20
第四章 三維流場MK-82彈體分離結果與參數探討... 22
4.1 概論... 22
4.2 MK-82彈體幾何形狀[53]... 22
4.3 機翼、派龍與彈體網格格點配置... 22
4.4 流場參數設置... 23
4.4.1穩態系統參數設置... 23
4.4.2暫態系統參數設置... 23
4.5 機翼釋放MK-82彈體改變高度流場探討... 24
4.6 機翼釋放MK-82彈體改變前彈射力流場探討... 29
第五章 結論... 35
參考文獻... 73
Extended Abstract... 77

[1]Taylor, R. T., and Alford, W.,“A Wind Tunnel Investigation of the Carry Loads and Mutual Interference Effects of 1/40 Scale Models of the X-15 and B-52 Airplanes in Combination,” NASA TM X-184, 1959.
[2]Lijewski, E. L., and Suhs, N. E.,“Time-Accurate Computational Fluid Dynamics Approach to Transonic Store Separation Trajectory Prediction,” Journal of Aircraft, Vol. 31, No. 4, pp. 886-891, July-Aug 1994.
[3]Paresh Parikh., Shahyar Pirzadeh., and Neal Frink, T., “Unstructured Grid Solutions to a Wing/Pylon/Store Configuration,” Journal of Aircraft, Vol. 31, No. 6, pp. 1291-1296, November-December 1994.
[4]NathanC. P., Davy M. B., and Raymond, C. M.,“Multiple-Body Trajectory Calculation Using the Beggar Code,” Journal of Aircraft, Vol. 36, No. 5, pp. 802-808, September-October 1999.
[5]Ching, K. T.,“Grid Survey Approach to Store Separation Trajectory Prediction,” Journal of Aircraft, Vol. 37, No. 4, pp. 736-738, 2000.
[6]Wang, Z. J., and Parthasarathy, V., “A Fully Automated Chimera Methodology for Multiple Moving Body Problems,” Int . J . Numer . Meth . Fluids, pp. 919-938, 2000.
[7]Nathan, C., Prewitt, D., Belk, M., and Wei, S.,“Parallel Computing of Overset Grids for Aerodynamic Problems with Moving Objects,”J. Progress in Aerospace Sciences, 36, pp. 117–172, 2000.
[8]Anandhanarayanan, K.“Development of Three-Dimensional Grid-free Solver and Its Applicationns to Multi-Body Aerospace Vehicles,” Defence Science Journal, Vol. 60, No. 6, pp. 653-662, November 2010.
[9]Anandhanarayanan, K. “Grid-Free Kinetic Upwind Solver on Chimera Cloud of Points,” West-East High Speed Flow Field Conference, 19-22, November 2007.
[10]Bandu, N. P., Tartabini , Brett, R. S.“Ascent , Stage Separation and Glideback Performance of a Partially Reusable Small Launch Vehicle,” AIAA-2004-0876, pp. 1-16, October 2004.
[11]Dimitri, E., Bigarella, V., Luiz, J., Azevedo, F., and Scalabrin, L. C., “Centered and Upwind Multigrid Turbulent Flow Simulations of Launch Vehicle Configurations,” Journal of Spacecraft and Rockets, Vol. 44, No. 1, pp. 52-65, January-February 2007.
[12]ESI group CFD portal , Unsteady Simulation of a Tank Dropping from a Wing , 2007. http://www.esi-cfd.com/component/option,com_rapidrecipe/page, viewrecipe/recipe_id , 61/ Itemid ,2006.
[13]Liu, J. L.,“Trajectory Analyses of External Store Separation by Using the Euler Equations,” Journal of Aircraft, Vol. 40, No. 1, pp. 206-208, 2003.
[14]Dimitri, E., Bigarella, V., Luiz, J., and Azevedo, F., “Numerical Study of Turbulent Flows over Launch Vehicle Configuration,” Journal of Spacecraft and Rockets, Vol. 42, No. 2, pp. 266-277, March-April 2005.
[15]Liu, X., and Fu, S.,“Numerical Simulation of Compressible Separated Turbulent Flow Over Inclined Slender Body,” Journal of Spacecraft and Rockets, Vol. 42, No. 3, pp. 572-575, May-June 2005.
[16]Eugene, K., Jang, H. K., and Hyuk, P., “Prediction of Ballistic Separation Effect by Direct Calculation of Incremental Coefficients,” Journal of Aircraft, Vol. 47, No. 2, pp. 630-637, March-April 2010.
[17]Young, M. J. , Young, S. K., Jae, W. L., and Jun, S. P.,“Effect of C.G. and Control Surface Area on Supersonic Separation of an Air-launching Rocket from the Mother Plane,”Aerospace Science and Technology, pp. 19-25, 2010.
[18]Murman, S. M., Aftosmis, M. J., Berger M. J., “Simulations of Store Separation from an F/A-18 with a Cartesian Method,” Journal of Aircraft, Vol. 41, No. 4, July-August 2004.
[19]Malmuth, N. D.,“Theoretical Aerodynamics in Today's Real World : Opportunities and Challenges,” AIAA Journal, Vol. 44, No. 7, pp. 1377-1392, July 2006.
[20]Elias, E. P., and Spyridon D. K.,“CFD Transonic Store Separation Trajectory Predictions with Comparison to Wind Tunnel Investigations,” International Journal of Engineering, Vol. 3, Issue. 6, pp. 538 - 553, January, 2010.
[21]Yang, S. Y., Line, C. C., and Liao, W. T., “Numerical Study of Parametric Effects for Transonic Flows around a Store with Fins Released from a Wing,” Journal of Aeronautics, Astronautics and Aviation, Series B, Vol. 44, No. 2, 2012, pp. 99-108.
[22]楊世英 , 廖偉廷 , 連振傑 “紊流通過機翼釋放具鰭片彈體之數值探討,” 中國機械工程學會第二十九屆全國學術研討會,” 論文編號:A02-1246, Dec 2012.
[23]Mohagna J. Pandya., Neal T. Frink., and Ralph W. Noack., “Progress Toward Overset-Grid Moving Body Capability for USM3D Unstructured Flow Solver,” 17th AIAA Computational Fluid Dynamics Conference, AIAA 2005-5118, 6 – 9 June 2005.
[24]Zhang, L., Chang, X., Duan, X., Zhao, Z., and He, X., “Applications of Dynamic Hybrid Grid Method for Three-Dimensional Moving/Deforming Boundary Problems,” Computers & Fluids, Volume 62, pp. 45-63, 15 June 2012.
[25]Mahmood, T., Aizud, M. N., Zahir, S., “Aerodynamic Effects of the Store Release on the Roll Attitude of a Wing Configuration in Transonic Flight,” Proceedings of International Bhurban Conference on Applied Sciences & Technology, pp. 12-15, 10 - 13 January 2011.
[26]Tahir Mahmood, Nadeem Aizud, and Salimuddin Zahir, “CFD Simulations of the Store Separation and its Effect on the Attitude of the Parent Vehicle,” Proceedings of 2012 9th International Bhurban Conference on Applied Sciences & Technology (IBCAST), pp. 198-202, 9 - 12 January 2012.
[27]Roy Koomullil, Gary Cheng, Bharat Soni, Ralph Noack, Nathan Prewitt, “Moving-Body Simulations using Overset Framework with Rigid Body Dynamics,” Mathematics and Computers in Simulation, Volume 78, Issues 5–6, pp.618-626, September 2008.
[28]Anandhanarayanan, K., Arora Konark, Shah Vaibhav, Krishnamurthy, R., and Chakraborty Debasis, “Separation Dynamics of Air-to-Air Missile Using a Grid-Free Euler Solver,” Journal of Aircraft, Vol. 50, No. 3, pp. 725-731, May-June 2013.
[29]Di, Y. C., Gao, Ge., Xu, Jing Lei., Shao, Xing Chen., Yang, Qing “Time-Accurate Simulation of the Aircraft External Store Separation,” Applied Mechanics and Materials, Vol. 444-445, pp. 854-859, 2014.
[30]Rubin, T., “Development of a Store Trajectory Simulation Code CTSAERO Using the MGAERO Flow Solver,” 53rd Israel Annual Conference on Aerospace Sciences, Vol. 1, pp. 184-194, 6 - 7 March, 2013.
[31]Jafari M, Toloei A., Ghasemlu S., and Parhizkar H, “Simulation of Store Separation Using Low-cost CFD with Dynamic Meshing,” International Journal of Engineering, Transactions, B: Applications, Vol. 27, No. 5, pp. 775-784, 2014.
[32]Xi, K., and Yan, C., “CFD Trajectory Predictions of Three-Store Ripple Release Using Chimera Method,” Applied Mechanics and Materials, Vol. 513-517 , pp. 4490-4493, 2014.
[33]Konark Arora, Vaibhav Shah , K. Anandhanarayanan, R. Krishnamurthy, and Debasis Chakraborty, “Defence Science Journal,” Vol. 63, No. 3, May 2013, pp. 242-248,2013.
[34]劉邦毅，2016，“機翼釋放飛彈流場參數探討”，虎尾科技大學，碩士論文。
[35]Directory of U.S. Military Rockets and Missiles，民國105年12月，取自：http://www.designation-systems.net/dusrm/index.html
[36]Alaa A. Osman , Amgad M. Bayoumy , Osama E. Abdellatif , Essam E. Khallil, “Numerical Analysis of an External Store Separation from an Airplane,” AIAA Modeling and Simulation Technologies Conference, January 2016-2143
doi:10.2514/6.2016-2143.
[37]G. J. M. Loupy , G. N. Barakos and N. J. Taylor, “Store Release Trajectory Variability from Weapon Bays Using Scale-adaptive Simulations.,” AIAA Journal, Vol. 56 , No. 2 , pp.752-764 , February 2018.
doi:10.2514/1.J056485
[38]H. Özgür DEMİR , B. Tuğcan SELİMHOCAOĞLU., “CFD Applications in Store Separation,”North Atlantic Treaty Organization Science and Technolocy Organization. , ” May 2018.
doi: 10.14339 / STO-EN-SCI-277-2018
[39]V. Raghavender and R. Kannan ., “Computational Aerodynamic Analysis on Store Separation from Aircraft using Pylon,” International Journal of Engineering Science Invention., Vol. 1 , pp. 27-31 , 2014. Issn:2319-6734
[40]Görkem Demir , Nafiz Alemdaroğlu., “ Computational Fluid Dynamics Modelling of Store Separation for Transonic Generic Store,” 48th AIAA AVIATION Fluid Dynamics Conference, 25-29 June 2018.
doi:10.2514/6.2018-3860
[41]M. Sheharyar , E. Uddin , Z. Ali1, Q. Zaheer and A. Mubashar, “Simulation of a Standard Store Separated from Generic Wing, ” Journal of Applied Fluid Mechanics, Vol. 11, No. 6, pp. 1579-1589, 2018.
[42]A. Shikhar Jaiswal ,C. K. Niranjanan , Keshav Malagi , V. Ramesh and S. M. Deshpande , “Grid Method Based Store Separation Suite Using Paranam Mesh Free Solver,” Journal of Aerospace Sciences and Technologies, Vol. 71, No. 2, pp. 214-218, May 2019.
doi:10.5281/zenodo.3355155
[43]Gong, J., Wang, F., “Simulation of the Store Separation from Internal Weapons Bay Using M_SST DES Mode, ” Journal of Physics: Conf. Series, Vol. 1215 , pp. 1-9 , May 2019.
doi:10.1088/1742-6596/1215/1/012001
[44]Hak Mizrahi , Daniella E. Raveh , “Wing Elasticity Effects on Store Separation,” Journal of Aircraft, Vol. 56 , No. 3 , pp. 1231-1249 , May 2019.
doi:10.2514/1.C035204
[45]詹元合，“超音速流通過機翼釋放飛彈流場高度效應數值分析” 國立虎尾科技大學，碩士論文，民國110年。
[46]Aleksander Olejnik, Adam Dziubiński and Łukasz Kiszkowiak, “Separation Safety Analysis Using CFD Simulation and Remeshing,” Journal of Aerospace Science and Technology, Volume 106, Article 106190, November 2020.
doi: 10.1016/j.ast.2020.106190
[47]R. R. Heim., “CFD Wing/Pylon/Finned Store Mutual Interference Wind Tunnel Experiment,” AEDC-TSR-91-P4, 1991
[48]Z. Toor, T.I. Khan, O. Khan, Bilal Mufti and J. Masud, “Comparative Analysis of Store Release Trajectory Using Numerical and Experimental Techniques,” AIAA Scitech 2019 Forum, 7-11 January 2019.
doi: 10.2514/6.2019-0846
[49]William D. Gothard and Kenneth O. Granlund, “Store Separation Trajectory Clusters from Machine Learning,” Journal of Aircraft, Vol. 59, No. 1, January–February 2022.
doi:/10.2514/1.C036261
[50]Josh B. Doyle, Justin Paul and James DeSpirito, “Results of the Missile and Projectile Aeroprediction Discussion Group Case Study,” AIAA Scitech 2020 Forum, 6-10 January 2020.
doi:10.2514/6.2020-1992
[51]Berkay Y. YILDIRIM, Gorkem DEMIR and Onurhan AYHAN, “Computational Fluid Dynamics Modeling of a Mortar Bomb Separation from a FixedWing Aircraft,” AIAA Scitech 2020 Forum, 6-10 January 2020.
doi: 10.2514/6.2020-1995
[52]Vinod Singh Rao, Valerio Viti and Juan Abanto, “CFD Simulations of Super Hypersonic Missiles Validation Sensitivity Analysis and Improved Design,” AIAA Scitech 2020 Forum, 6-10 January 2020.
doi: 10.2514/6.2020-2123
[53]M. A. SHILO, “Six Degree of Freedom Flight Dynamic Model of a MK-82 Store,” Australia Defence Science and Technology Organization Aeronautical Research Laboratory, January 1994.
[54]J. P. Christopher and W. E. Carleton, “Captive-Trajectory Store-Separation System of The AEDC-PWT 4-FOOT Transonic Tunnel,” ARO, Inc. ,September 1968