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| 日時： | 2021年8月11日（水） 16:30-17:30 |
| 場所： | オンライン開催 |
| 講演： | Mathematical analysis of Chorin’s projection method |
| Prof. Kohei Soga (Department of Mathematics, Faculty of Science and Technology, Keio University, Japan) 曽我 幸平 准教授 （慶應義塾大学 理工学研究科 基礎理工学専攻） |
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| 要旨： | Chorin’s projection method, originally introduced by Alexandre Joel Chorin in 1969, is a numerical technique of computational fluid dynamics. The method can be seen as the most elementary and direct approach to solve the incompressible Navier-Stokes equations in a general setting. Nowadays, many versions of the original method are known. In this talk, we revisit Chorin’s original projection method and discuss its potential to be a mathematical tool beyond a computational technique for smooth solutions. We first observe that the method yields a Leray-Hopf weak solution. Then, we apply the method to investigate time-periodic solutions, which is an attempt to capture qualitative features of flows through discrete approximation. Finally, we investigate the accuracy of the method. |