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【工學院英文書報討論】Mathematical Modeling of Vorticity-Dominated Flows - 張敬教授/國立清華大學動力機械工程學系

11020E500100 College of Engineering Seminar
工學院英文書報討論

主題 TOPIC
▸ Mathematical Modeling of Vorticity-Dominated Flows

摘要 abstract
❝ While computational fluid dynamic (CFD) is expensive and time consuming, vortex dynamics provide another physical based and mathematically sound approach to analyze fluid flows. Classic vortex dynamic concerns inviscid flows with unit density and no body forces. We will discuss two extensions of classic models in vortex filaments and contour dynamics, with the addition of density jump, surface tension and gravity. These reduced models could provide low-computation-cost approximations, make it feasible in applications such as (real-time) control for fluid flows. Beside the modeling, a linear stability theory is applied to a Rankine vorticity core with parametric resonance. The curvature and Moore-Saffman-Tsai-Widnall instabilities are examined while density and surface tension are introduced. Understanding the nature of vortex stability provides us guidance for optimization problems in a multi-dimensional parameter space, before we start any time-consuming CFD simulations.
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講者 SPEAKER
▸ 張敬教授 Prof. Ching CHANG
▸ 國立清華大學動力機械工程學系 Department of Power Mechanical Engineering, National Tsing Hua University

時間 TIME
▸ 2022/05/17 (TUE) 13:20 – 15:20

地點 VENUE
▸ Google Meet

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