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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳宜良(I-Liang Chern) | |
dc.contributor.author | Wen-Chi Chen | en |
dc.contributor.author | 陳文錡 | zh_TW |
dc.date.accessioned | 2021-06-13T01:35:18Z | - |
dc.date.available | 2007-07-26 | |
dc.date.copyright | 2007-07-26 | |
dc.date.issued | 2007 | |
dc.date.submitted | 2007-07-16 | |
dc.identifier.citation | [1] Kevin K. Prendergast and Kun Xu, Numerical Hydrodynamics from Gas-
Kinetic Theory,J. Comput. Phys.109,53-66(1993) [2] Yeefeng Ruan and Antony Jameson,Gas-Kinetic BGK method for three- dimensional compressible ‡ows,Stanford University, CA 94303 [3] P. L. Bhatnagar, E. P. Gross, and M. Krook, A model for collision processes in gases. I: Small amplitude processes in charged and neutral one-component systems, Phys. Rev. 94, 511 (1954). [4] Kun Xu, A well-balanced gas-kinetic scheme for the shallow-water equa- tions with source terms,J. Comput. Phys.178,533-562(2002) [5] Kun Xu, Gas-Kinetic Schemes for Unsteady Compressible Flow Simula- tionsvon, Karman Institute for Fluid Dynamics Lecture Series 1998-03, 29th Computational Fluid Dynamics Feb. 23-27, 1998 [6] Huazhong Tang, Tao Tang and Kun Xu, A gas-kinetic scheme for shallow– water equations with source terms [7] Tao Tang, Kun Xu, Gas-Kinetic Schemes for the Compressible Euler Equations I: Positivity-Preserving [8] A.Slyz, K.H. Prendergast, Time-independent gravitational …elds in the BGK scheme for hydrodynamics,Astron. Astrophys. Suppl. Ser. 139,199- 217(1999) 43 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30087 | - |
dc.description.abstract | The shallow water equation is an usual model to describe the flows in river, ocean, and atmosphere etc. In this paper, a finite volume gas-kinetic BGK scheme is derived to simulate rotating shallow water flows. | en |
dc.description.provenance | Made available in DSpace on 2021-06-13T01:35:18Z (GMT). No. of bitstreams: 1 ntu-96-R93221036-1.pdf: 496691 bytes, checksum: 6fa2daa621c7a6243b2e7f6db0baee84 (MD5) Previous issue date: 2007 | en |
dc.description.tableofcontents | Abstract vii
1 Introduction 1 1.1 Shallow water equation . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Boltzmann and BGK model . . . . . . . . . . . . . . . . . . . 1 2 Gas-Kinetic BGK Scheme 5 2.1 KFVS scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1.1 1st-order KFVS . . . . . . . . . . . . . . . . . . . . . . 5 2.1.2 2nd-order KFVS . . . . . . . . . . . . . . . . . . . . . 6 2.2 KFVS Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 BGK scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3.1 1st-order BGK . . . . . . . . . . . . . . . . . . . . . . 10 2.3.2 2nd-order BGK . . . . . . . . . . . . . . . . . . . . . . 11 2.4 BGK Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3 A well-balanced condition 17 3.1 1D case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 2D case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 A second-order BGK Scheme for shallow water ‡ows 27 4.1 non-rotating shallow water ‡ows . . . . . . . . . . . . . . . . . 27 4.2 Rotating shallow water ‡ows . . . . . . . . . . . . . . . . . . . 31 4.2.1 On ‡at topography bottom . . . . . . . . . . . . . . . 31 4.2.2 On wary bottom . . . . . . . . . . . . . . . . . . . . . 35 5 Conclusion 37 | |
dc.language.iso | en | |
dc.title | 利用氣體動力算則模擬旋轉淺水波流 | zh_TW |
dc.title | Simulating Rotating Shallow Water Flows By BGK Scheme | en |
dc.type | Thesis | |
dc.date.schoolyear | 95-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 薛克民(Keh-Ming Shyue),楊照彥(Jaw-Yen Yang) | |
dc.subject.keyword | 氣體動力算則, | zh_TW |
dc.subject.keyword | BGK, | en |
dc.relation.page | 43 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2007-07-16 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 數學研究所 | zh_TW |
顯示於系所單位: | 數學系 |
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