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三次元渦度方程式の一次元モデルDeGregorio方程式の数値的研究
| Title: | 三次元渦度方程式の一次元モデルDeGregorio方程式の数値的研究 |
| Other Titles: | Numerical study of De Gregorio's model for the 3-D vorticity equation |
| Authors: | 佐藤, 英樹1 Browse this author | | 坂上, 貴之2 Browse this author |
| Authors(alt): | SATO, Hideki1 | | SAKAJO, Takashi2 |
| Issue Date: | 25-Sep-2006 |
| Publisher: | 日本応用数理学会 |
| Journal Title: | 日本応用数理学会論文誌 |
| Volume: | 16 |
| Issue: | 3 |
| Start Page: | 221 |
| End Page: | 235 |
| Abstract: | It is quite difficult to show the existence and uniqueness of solution for the 3-D Navier-Stokes equations. The difficulty arises from the quadratic two nonlilnear terms, the vortex stretching term and the convection term. In order to see how these two terms affect the existence of the solution, De Gregorio proposed a 1-D model equation for the 3-D vorticity equation. However, in spite of its simple formulation, mathematical analysis of the model is not so easy. Thus, in this article, we investigate the model equation by numerical means, and discuss the property of the solution. It is quite difficult to show the existence and uniqueness of solution for the 3-D Navier-Stokes equations. The difficulty arises from the quadratic two nonlilnear terms, the vortex stretching term and the convection term. In order to see how these two terms affect the existence of the solution, De Gregorio proposed a 1-D model equation for the 3-D vorticity equation. However, in spite of its simple formulation, mathematical analysis of the model is not so easy. Thus, in this article, we investigate the model equation by numerical means, and discuss the property of the solution. |
| Rights: | 日本応用数理学会. 本文データは日本応用数理学会の許諾に基づきCiNiiから複製したものである. |
| (Relation)isversionof: | https://ci.nii.ac.jp/naid/110004833372 |
| Type: | article |
| URI: | http://hdl.handle.net/2115/30260 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂上 貴之
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