Approximation of rigid obstacle by highly viscous fluid

Prelegent(ci)

Sadokat Malikova

Afiliacja

SDNŚiP

Termin

9 czerwca 2022 12:30

Informacje na temat wydarzenia

Zoom

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

---

This talk is devoted to the problem concerning the approximation of a rigid obstacle for flows governed by the stationary Navier-Stokes equations in the two-dimensional case. The idea is to consider a highly viscous fluid in the place of the obstacle. Formally, as the fluid viscosity goes to infinity inside the region occupied by the obstacle, we obtain the original problem in the limit. 
The main goal is to establish a better regularity of approximate solutions. 
In particular, the pointwise estimate for the gradient of the velocity is proved. We give numerical evidence that the penalized solution can reasonably approximate the problem, even for relatively small values of the penalty parameter.

Zoom link: https://us02web.zoom.us/j/82881783943?pwd=TUp3OGNvZ3R5akpXclZESmx2aGVkUT09
[1]

Meeting ID: 828 8178 3943
Passcode: 435791

---