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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳宜良(I-Liang Chern) | |
| dc.contributor.author | Yin-Hung Liu | en |
| dc.contributor.author | 劉音宏 | zh_TW |
| dc.date.accessioned | 2021-06-13T01:34:47Z | - |
| dc.date.available | 2007-07-20 | |
| dc.date.copyright | 2007-07-20 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-07-12 | |
| dc.identifier.citation | Kun Xu. (1998) Gas-Kinetic Schemes for Unsteady Compressible Flow Simulations.
P. L. Lions; B.Perthame; E. Tadmor. (1994) A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations. Journal of the American Mathematical Society, Vol. 7, pp. 169-191. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30079 | - |
| dc.description.abstract | 在這篇論文中, 我們用氣體動力學的方法, 探討守恆律方程的問題。
其中針對非凸性流量的情形, 設計在氣體平衡時拋物線型的速率分布函數。 | zh_TW |
| dc.description.abstract | In this paper, we use the concept
of gas-kinetic schemes to solve the equations of conservation laws. For non-convex fluxes, we can construct the parabolic distribution function for the equilibrium state. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T01:34:47Z (GMT). No. of bitstreams: 1 ntu-96-R94221040-1.pdf: 568186 bytes, checksum: 7fc2e570aac00b310675e0c535587363 (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | Contents
中文摘要 ii Abstract iii 1 Probability Density Distribution Function 1 1.1 Maxwell-Boltzmann Distribution . . . . . . . . . . . . . . . . 1 1.2 Parabolic Distribution . . . . . . . . . . . . . . . . . . . . . . 2 2 Kinetic Flux Vector Splitting Scheme 4 2.1 First Order KFVS . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Second Order KFVS . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Stability Analysis For The KFVS For The Linear Advection Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 The Modified Equation For Linear Advection Equation . . . . 6 3 KFVS For Scalar Conservation LawsWith Non-Convex Fluxes 9 3.1 Non-Convex Flux Equation . . . . . . . . . . . . . . . . . . . 9 3.2 Less Dissipative Scheme . . . . . . . . . . . . . . . . . . . . . 10 3.3 The Modified Equation For Non-Convex Flux Equation . . . . 12 3.4 2 × 2 System of The Elastic-Plastic Model . . . . . . . . . . . 15 3.5 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.6 Conclution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 A Moments of distribution function 18 A.1 Maxwellian Distribution Function . . . . . . . . . . . . . . . . 18 A.2 Parabolic Distribution Function . . . . . . . . . . . . . . . . . 19 B Examples 20 | |
| dc.language.iso | en | |
| dc.subject | 非凸性 | zh_TW |
| dc.subject | 氣體動力學 | zh_TW |
| dc.subject | 守恆律方程 | zh_TW |
| dc.subject | non-convex | en |
| dc.subject | gas-kinetic | en |
| dc.subject | conservation law | en |
| dc.title | 氣體動力算則解非凸性守恆律方程 | zh_TW |
| dc.title | Gas-Kinetic Schemes For Conservation Laws With Non-Convex Fluxes | 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 | 氣體動力學,守恆律方程,非凸性, | zh_TW |
| dc.subject.keyword | gas-kinetic,conservation law,non-convex, | en |
| dc.relation.page | 22 | |
| 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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