MS-Tu-D-47
Flow patterns in high-Reynolds numbers - Part I of II
For Part II, see MS-Tu-E-47

Date: August 11
Time: 13:30--15:30
Room: 108

(Note: Click title to show the abstract.)

Organizer:
Okamoto, Hisashi (Kyoto Univ.)

Abstract: Recent increase of computer power enables us to have good understanding and prediction of fluid flows if the Reynolds number is not very large. However, flows display singular phenomena if the Reynolds number is very large. Here we need, in addition to computer power, a good combination of mathematical analysis and accurate numerical methods. In this mini-symposium we present singular or strange characters of fluid flows at high Reynolds numbers. For instance, we report on our recent discovery of large scale structures which appear only in 2D high Reynolds number flows and called unimodal patterns. Streamlines of the unimodal solutions are topologically simple, but under its apparent simplicity there lie internal layers, which results from the singular perturbation nature of the Navier-Stokes equations. We propose an asymptotic analysis which agrees with the numerical data. Also some of us review applications to geophysics. In particular solutions of the 2D Navier-Stokes equations or Euler equations are computed on a sphere or a spheroid. They are compared with atmospheric data. We show that what is called a zonal flow, which is observed in fluid motion in planetary scale, can be reproduced in our computations.


MS-Tu-D-47-1
13:30--14:00
Unimodal patterns appearing in the 2D Navier-Stokes equations at large Reynolds numbers
Okamoto, Hisashi (Kyoto Univ.)


MS-Tu-D-47-2
14:00--14:30
Unimodal patterns appearing in the 2D Navier-Stokes equations at large Reynolds numbers II
Kim, Sun-Chul (Chung-Ang Univ.)
Okamoto, Hisashi (Kyoto Univ.)


MS-Tu-D-47-3
14:30--15:00
On the numerical detection for blow-up
Cho, ChienHong (Chung Cheng Univ.)


MS-Tu-D-47-4
15:00--15:30
Stability of one-directional flow on a rotating sphere
Yamada, Michio (Kyoto Univ.)

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Footnote:
Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA