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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 工程科學及海洋工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46259
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor許文翰
dc.contributor.authorChen-Peng Chiaoen
dc.contributor.author喬貞朋zh_TW
dc.date.accessioned2021-06-15T05:00:26Z-
dc.date.available2010-07-30
dc.date.copyright2010-07-30
dc.date.issued2010
dc.date.submitted2010-07-28
dc.identifier.citation[1] Yoon, H.Y., Koshizuka, S., Oka, Y., A Particle-Gridless Hybrid Method for Incompressible
Flows. Int. J. Numer. Meth. Fluids, 30, 407-424, 1999
[2] L.B. Lucy, A Numerical Approach to the testing of the ‾ssion hypothesis. The Astron. J.,
8(12), 1013-1024, 1977
[3] J.J. Monaghan, An introduction th SPH. Comput. Phys.Comm., 48, 89-96, 1988
[4] J.W. Swegle, D.L. Hicks, S.W. Attaway, Smoothed particle hydrodynamics stability analysis.
J. Comput. Phys., 116, 123-134, 1995
[5] C.T. Dyka, Addressing tension instability in SPH mehtods. Technical Report
NRL/MR/6384, NRL, 1944
[6] G.R. Johnson, R.A. Stryk, S.R. Beissel, SPH for high velocity impact computations. Com-
put. Meth. Appl. Mech. Engrg., 139, 347-373, 1996
[7] J.E. Welch, F.H. Harlow, J.P. Sharmon, B.J. Daly, The MAC Mehtods. LA, -3425, 1966
[8] Koshizuka, S., Oka, Y., Moving-Particle Semi-implicit Method for Fragmentation or Incom-
pressible Fluid. Nucl. Sci. Eng., 123, 421-434, 1996
[9] T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl, Meshless Methods: An Overview
and Recent Developments. Comput. Methods Appl. Mech. Engrg., 139, 3-47, 1996
[10] Zienkiewicz, O.C., Codina, R., A general algorithm for compressible and incompressible °ow,
Part I: the split, characteristic-based scheme. Int. J. Numer. Method Fluids, 20, 869-
885, 1995
[11] R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, John Wiley &
Sons, New York, 1960
[12] Koshizuka, S., Nobe, A., Oka, Y., Numerical Analysis of breaking waves using the moving
particle semi-implicit method Int. J. Numer. Meth. Fluids, 26, 751-769, 1998
[13] KHAYYER, A., GOTOH, H., DEVELOPMENT OF CMPS METHOD FOR ACCURATE
WATER-SURFACE TRACKING IN BREAKING WAVES Coastal Engineering Jour-
nal, 50, No. 2, 179-207, 2008
[14] Ikeda, H., Koshizuka, S., Oka, Y., Park, H., Sugimoto, J., Numerical Analysis of Jet Injection
Behavior for Fuel-Coolant Interaction using Particle Method, J. Nucl. Sci. Tech, 44,
297-312, 2004
[15] B. Ramaswamy, Numerical Simulation of Unsteady Viscous Free Surface, J. Comput.
Phy., 90, 396-430, 1990
[16] T. W. H. Sheu, S.-M. Lee, Large-Amplitue Sloshing in an Oil Tanker with Ba2e-Plate/Drill
Holes, IJCFD, 10, 45-60, 1998
[17] Tony W.H. Sheu, C.H. Yu, P.H. Chiu, Development of a dispersively accurate conservative
level set scheme for capturing interface in two-phase °ows, J. Comput. Phy., 228, 661-686,
2009
[18] A. Khayyer, H. Gotoh, Modi‾ed Moving Particle Semi-implicit methods for the prediction of
2D wave impact pressure, Coastal Engineering, 56, 419-440, 2009
[19] M. Tanaka, T. Masunaga, Stabilization and smoothing of pressure in MPS method by Quasi-
Compressibility, J. Comput. Phy., 229, 4279-4290, 2010
[20] M. J. Quinn, Parrel Programming in C with MPI and OpenMP, McGraw Hill
[21] M. J. Quinn, Parrel Programming in C with MPI and OpenMP, McGraw Hill
[22] 越塚誠一, 粒子法, 丸善株式會社
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46259-
dc.description.abstract本論文將新推導出的核函數,並將其應用於半隱式移動粒子法(Moving Particle Semi-implicit( MPS) method),以模擬具自由液面(free surface)的不可壓縮(incompressible )的Navier-Stokes方程。最後,利用孤立波問題與潰壩問題以驗證程式的正確性。zh_TW
dc.description.abstractThis study is aimed to combine the newly developed kernel function with the Moving Particle Semi-implicit (MPS) method for simulating the incompressible viscous flow with free surface. The proposed method will be validated by solving the solitary wave and broken dam problems.en
dc.description.provenanceMade available in DSpace on 2021-06-15T05:00:26Z (GMT). No. of bitstreams: 1
ntu-99-R97525072-1.pdf: 19318239 bytes, checksum: 4ad17ae4a69b21c54b482ab8785e794d (MD5)
Previous issue date: 2010
en
dc.description.tableofcontents目錄
摘要...........................i
Abstract......................ii
第一章 導論..............................1
1.1 研究動機.....................1
1.2 文獻回顧.....................2
1.3 論文大綱.....................2
第二章 粒子法.............................3
2.1 粒子法簡介....................3
2.2 粒子法原理與種類...............3
2.3 粒子法核函數..................3
第三章 數學模型............................6
3.1 不可壓縮Navier-Stokes方程式....6
3.2 連續運動之數學描述法............6
3.2.1 Eulerian描述法 (Eulerian description)...6
3.2.2 Lagrangian描述法 (Lagrangian description)...7
第四章 半隱式移動粒子法....................8
4.1 核函數(Kernel function)................8
4.2 粒子數密度 (particle number density)....9
4.3 梯度算子 (Gradient operator)............10
4.4 Laplace算子 (Laplece operator).........11
4.5 分步法 (The Fractional step method).....12
4.6 壓力Poisson方程(PPE)計算模型..............13
4.7 邊界條件................................14
4.8 固體邊界................................14
4.9 人工壓縮性質之引入........................14
4.10 程式流程...............................15
第五章 離散方法之驗證.................................19
5.1 梯度算子(Gradient operator) 模型驗證.....19
5.1.1 測試題目與測試結果..............19
5.1.2 測試結果之討論.................20
5.2 散度算子(Divergence)模型驗證.............21
5.2.1 測試題目與測試結果..............21
5.2.2 測試結果之討論.................21
5.3 Laplace算子模型驗證......................22
5.3.1 測試題目與測試結果..............23
5.3.2 測試結果之討論.................24
第六章 程式驗證......................................40
6.1 二維自由液面孤立波(Solitary wave)之傳遞問題.....40
6.1.1 題目敘述與初始條件..................40
6.1.2 計算結果與討論.....................41
6.2 二維潰壩(Dam break)問題......................41
6.2.1 題目敘述與初始條件..................41
6.2.2 計算結果與討論......................41
第七章 MPS方法中PPE源項之改良..............................50
7.1 MPS-HS之PPE源項推導與結果.....................50
7.2 MPS-SS之PPE源項推導與結果.....................51
第八章 結論..............................................58
8.1 研究結果.....................................58
8.2 未來展望.....................................58
附錄A 平行計算(Parallel Computation)......................60
A.1 平行計算之介紹................................60
A.2 CUDA(Computate Unified Device Architecture)..60
A.3 CUDA加速MPS之PPE求解.........................61
A.4 加速效能之結果與討論...........................62
參考文獻..............................65
dc.language.isozh-TW
dc.subject潰壩zh_TW
dc.subject粒子法zh_TW
dc.subject半隱式移動粒子法zh_TW
dc.subject自由液面zh_TW
dc.subject不可壓縮流zh_TW
dc.subject孤立波zh_TW
dc.subjectMPSen
dc.subjectfree surfaceen
dc.subjectincompressible flowen
dc.subjectMoving Particle Semi-implicit methoden
dc.subjectdam breaken
dc.subjectsolitary waveen
dc.title在半隱式移動粒子法架構下發展一新的核心函數以捕捉自由液面zh_TW
dc.titleOn the development of a new kernel function for simulating free surface flow by moving particle semi-implicit (MPS) methoden
dc.typeThesis
dc.date.schoolyear98-2
dc.description.degree碩士
dc.contributor.oralexamcommittee李佳翰,蔣德普,張倉榮
dc.subject.keyword粒子法,半隱式移動粒子法,自由液面,不可壓縮流,孤立波,潰壩,zh_TW
dc.subject.keywordMoving Particle Semi-implicit method,MPS,incompressible flow,free surface,solitary wave,dam break,en
dc.relation.page66
dc.rights.note有償授權
dc.date.accepted2010-07-28
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept工程科學及海洋工程學研究所zh_TW
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