諸分野のための数学研究会
過去の記録 ~10/14|次回の予定|今後の予定 10/15~
開催情報 | 火曜日 10:30~11:30 数理科学研究科棟(駒場) 056号室 |
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担当者 | 儀我美一、石村直之(中央大学)、齊藤宣一、山本昌宏 |
セミナーURL | http://coe.math.sci.hokudai.ac.jp/sympo/various/ |
目的 | 北海道大学のHPには、第1回(2005年6月22日)~第22回(2009年2月18日)の情報が掲載されております。 |
2022年04月26日(火)
10:30-11:30 数理科学研究科棟(駒場) Zoomによるオンライン開催 号室
Pritpal Matharu 氏 (McMaster University)
PDE Optimization for Problems in Theoretical and Computational Turbulence (English)
Pritpal Matharu 氏 (McMaster University)
PDE Optimization for Problems in Theoretical and Computational Turbulence (English)
[ 講演概要 ]
Turbulent flows occur in various fields and are a central, yet extremely complex topic in fluid dynamics. Understanding the behaviour of fluids is vital for multiple research areas including, but not limited to: biological models, weather prediction, and engineering design models for automobiles and aircrafts. In this talk, we will introduce PDE optimization techniques to obtain solutions to problems utilizing adjoint-based analysis with an "optimize-then-discretize" approach, Sobolev gradients, and computationally flexible gradient-based techniques. Then, we will discuss how these techniques and their modifications, to deal with optimization problems with nonstandard structure, have been employed for problems in both theoretical and computational turbulence problems, concerning the "zeroth law of turbulence" and the turbulence closure problem.
Turbulent flows occur in various fields and are a central, yet extremely complex topic in fluid dynamics. Understanding the behaviour of fluids is vital for multiple research areas including, but not limited to: biological models, weather prediction, and engineering design models for automobiles and aircrafts. In this talk, we will introduce PDE optimization techniques to obtain solutions to problems utilizing adjoint-based analysis with an "optimize-then-discretize" approach, Sobolev gradients, and computationally flexible gradient-based techniques. Then, we will discuss how these techniques and their modifications, to deal with optimization problems with nonstandard structure, have been employed for problems in both theoretical and computational turbulence problems, concerning the "zeroth law of turbulence" and the turbulence closure problem.