利用氣體動力算則模擬旋轉淺水波流

Wen-Chi Chen; 陳文錡

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30087

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.subject	氣體動力算則	zh_TW
dc.subject	BGK	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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