請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/69984
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 黃美嬌(Mei-Jiau Huang) | |
dc.contributor.author | Po-Han Chen | en |
dc.contributor.author | 陳柏翰 | zh_TW |
dc.date.accessioned | 2021-06-17T03:37:20Z | - |
dc.date.available | 2018-03-02 | |
dc.date.copyright | 2018-03-02 | |
dc.date.issued | 2018 | |
dc.date.submitted | 2018-02-09 | |
dc.identifier.citation | [1] H. Kruggel-Emden, E. Simsek, S. Rickelt, S. Wirtz, V. Scherer, 'Review and extension of normal force models for the Discrete Element Method', Powder Technology, vol. 171, pp. 157–173, 2007.
[2] R. Glowinski, T. W. Pana, T.I. Hesla b, D.D. Joseph, 'A distributed Lagrange multiplier/fictitious domain method for particulate flows', International Journal of Multiphase Flow, vol. 25, pp. 755-794, 1999. [3] Zhang, Z., and Andrea Prosperetti, 'A method for particle simulation', Journal of Applied Mechanics, vol. 70, no.1, pp. 64-74, 2003. [4] Feng, Zhi-Gang, and Efstathios E. Michaelides, 'The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems', Journal of Computational Physics, vol. 195, no.2, pp. 602-628, 2004. [5] Uhlmann, Markus, 'An immersed boundary method with direct forcing for the simulation of particulate flows', Journal of Computational Physics, vol. 209, no.2, pp. 448-476, 2005. [6] Hashemi, M. R., R. Fatehi, and M. T. Manzari, 'A modified SPH method for simulating motion of rigid bodies in Newtonian fluid flows', International Journal of Non-Linear Mechanics, vol. 47, no.6, pp. 626-638, 2012. [7] Singh, P., T. I. Hesla, and D. D. Joseph, 'Distributed Lagrange multiplier method for particulate flows with collisions', International Journal of Multiphase Flow, vol. 29, no.3, pp. 495-509, 2003. [8] Wan, Decheng, and Stefan Turek, 'Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method', International Journal for Numerical Methods in Fluids, vol. 51, no.5, pp. 531-566, 2006. [9] Wang, Zeli, Jianren Fan, and Kun Luo, 'Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles', International Journal of Multiphase Flow, vol. 34, no.3, pp. 283-302, 2008. [10] Wang, L., Z. L. Guo, and J. C. Mi., 'Drafting, kissing and tumbling process of two particles with different sizes', Computers & Fluids, vol. 96, pp. 20-34, 2014. [11] Niu X. D., Shu C., Chew Y. T., and Peng Y., 'A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows', Physics Letters A , vol. 354, no.3, pp. 173-182, 2006. [12] Jafari, Saeed, Ryoichi Yamamoto, and Mohamad Rahnama, 'Lattice-Boltzmann method combined with smoothed-profile method for particulate suspensions', Physical Review E, vol. 83, no.2: 026702, 2011. [13] Cundall P. A., and Strack O. D., 'A discrete numerical model for granular assemblies', Geotechnique, vol. 29, no.1, pp. 47-65, 1979. [14] Simeonov, Julian A., and Joseph Calantoni, 'Modeling mechanical contact and lubrication in direct numerical simulations of colliding particles', International Journal of Multiphase Flow, vol. 46, pp. 38-53, 2012. [15] Stevens, A. B., and C. M. Hrenya, 'Comparison of soft-sphere models to measurements of collision properties during normal impacts', Powder Technology, vol. 154, no.2, pp. 99-109, 2005. [16] Lin, San-Yih, and Yi-Cheng Chen, 'A pressure correction-volume of fluid method for simulations of fluid–particle interaction and impact problems', International Journal of Multiphase Flow, vol. 49, pp. 31-48, 2013. [17] Kempe, Tobias, and Jochen Fröhlich, 'Collision modelling for the interface-resolved simulation of spherical particles in viscous fluids', Journal of Fluid Mechanics, vol. 709, pp. 445-489, 2012. [18] Chen, Li-Chieh, and Mei-Jiau Huang, 'A DFFD simulation method combined with the spectral element method for solid–fluid-interaction problems', Journal of Computational Physics, vol. 330, pp. 749-769, 2017. [19] K. L. Johnson, 'Contact Mechanics', 1st ed., Cambridge University Press, pp.131, 1985. [20] Flamant, A. 'Sur la répartition des pressions dans un solide rectangulaire chargé transversalement.' CR Acad. Sci. Paris, vol. 114, pp.1465-1468, 1892. [21] D. A. Hills and D. Nowell and A. Sackfield, 'Mechanics of Elastic Contacts', 1st ed.,Butterworth-Heinemann, pp.54, 1985. [22] Davis, R. H., Serayssol, J. M., & Hinch, E. J., 'The elastohydrodynamic collision of two spheres', Journal of Fluid Mechanics, vol. 163, pp.479-497, 1986. [23] Yu, Zhaosheng, and Xueming Shao, 'A direct-forcing fictitious domain method for particulate flows', Journal of computational physics, vol. 227, no.1, pp. 292-314, 2007. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/69984 | - |
dc.description.abstract | 流固耦合常見於自然界與工程應用中,是個複雜的難題,也是數值模擬的一大課題。固體在流體中運動,並不侷限於只有單顆固體,而當同時有多顆固體在流體中相對運動時,固體間便有可能發生碰撞。本研究旨在開發更合乎物理意義的碰撞模型,並將其應用於流固耦合的模擬。
回顧前人的碰撞力模型,並列舉出各類方法的優缺點作為參考。處理固體變形作用力方面,以彈性力學推導任意形狀的二維柱體正向碰撞力之的彈性項,並參考彈性水力碰撞理論(elastohydrodynamic collision),設計適切的碰撞力模型。延續本實驗室所開發的「整合沉浸邊界法與寬頻元素法之流固耦合數值模擬工具」,擴增處理多顆固體的功能,並納入碰撞力模型。 本研究模擬常見的兩圓柱自由落下之「牽引—接觸—滾落」現象,並有良好的準確度。確定方法的準確度後,以等加速度的概念設計模擬工具,分析自由落下的兩圓柱各階段的流場變化。並比較單一圓柱與兩圓柱自由落下的速度差異。儘管本研究有良好的模擬結果,若能再多考慮切線方向的碰撞力,則能使模擬更加貼近真實。 | zh_TW |
dc.description.abstract | Problem of fluid-structure interaction is common for nature and industrial applications, and it is a difficult problem. It is also an important challenge for numerical simulation. It does not limit on one solid body for cases that solid move relatively in fluid. It would be possible to collide for multi-bodies moving in fluid. This research aims at developing a collision model with physical meaning, and applying it in simulation of fluid-structure interaction.
We review several existing collision models and summarize advantages and disadvantages of each ones. For the force come from deformation, we derive the elastic term of normal collision force for two-dimensional cylinders of arbitrary shape. We refer to elastohydrodynamic collision to design a proper collision model. With the collision model, the numerical tool, “a spectral element-immersed boundary method for fluid-structure interaction problems”, developed from our lab, is extended to be able to solve multi-body problems. For the well-known drafting, kissing and tumbling phenomena between two freely falling circular cylinders, we observed equally well in this study. After confirming the accuracy, we adopt the concept of constant acceleration motion in the simulator and explore the flow details of two freely falling circular cylinders. We also compare the velocity difference between one freely falling circular cylinder and two freely falling circular cylinders. In spite of excellent results, a complete model by also taking the tangential component of collision force into consideration will make the proposed collision model more realistic. | en |
dc.description.provenance | Made available in DSpace on 2021-06-17T03:37:20Z (GMT). No. of bitstreams: 1 ntu-107-R05522305-1.pdf: 5058123 bytes, checksum: a42618a1893690965fff7b56945baeae (MD5) Previous issue date: 2018 | en |
dc.description.tableofcontents | 誌謝___I
中文摘要___II Abstract___III 目錄___IV 表目錄___VI 圖目錄___VII 第一章 諸論___1 1-1 研究背景與文獻回顧___1 1-1-1排斥勢能模型___1 1-1-2軟球模型___3 1-1-3可調碰撞時間模型___3 1-2 研究動機___4 1-3 論文架構___5 第二章 碰撞模型___6 2-1柱體正向碰撞力之彈性項關係式推導___6 2-1-1 彈性力學___6 2-1-2 應力函數___9 2-1-3 正向集中力___11 2-1-4 正向分布力___13 2-1-5 赫茲接觸理論___15 2-2 碰撞數值模型___19 第三章 統御方程式與數値方法___21 3-1 統御方程式___21 3-2 DFFD (Direct Forcing Fictitious Domain) 法___22 3-3 固體數值方程式___25 3-4 碰撞模型之流程___25 3-5 模擬流程___30 第四章 數値模擬與討論___31 4-1 自由下落之兩圓柱___31 4-1-1 與其他學者之比較___34 4-1-2 以不同方式更新固體質心位置與角度之比較___38 4-1-3 不同安全範圍之測試___42 4-1-4 單一圓柱與兩圓柱之終端速度比較___46 4-2 自由下落過程之整體分析___47 4-2-1 追逐___49 4-2-2 碰撞___56 4-2-3 偏離中軸___76 4-2-4 分離___79 4-3 不同材料參數的固體之比較___84 4-3-1 碰撞力之比較___84 4-3-2 模擬結果之比較___87 第五章 結論與未來展望___92 5-1 結論___92 5-2 未來展望___94 參考文獻___95 附錄___98 | |
dc.language.iso | zh-TW | |
dc.title | 不可壓縮黏性流體中兩固體圓柱之碰撞模擬 | zh_TW |
dc.title | Collision of Two Circular Cylinders in a Viscous Incompressible Flow | en |
dc.type | Thesis | |
dc.date.schoolyear | 106-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 楊馥菱(Fu-Ling Yang),蔡協澄(Hsieh-Chen Tsai) | |
dc.subject.keyword | 彈性力學,碰撞模型,流固耦合,沉浸邊界法,寬頻元素法, | zh_TW |
dc.subject.keyword | Elasticity,Collision Model,Fluid-Structure Interaction,Immersed Boundary Method,Spectral Element Method, | en |
dc.relation.page | 108 | |
dc.identifier.doi | 10.6342/NTU201800494 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2018-02-12 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-107-1.pdf 目前未授權公開取用 | 4.94 MB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。