| Title:
|
Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision (English) |
| Author:
|
Burda, Pavel |
| Author:
|
Novotný, Jaroslav |
| Author:
|
Šístek, Jakub |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
43-54 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution. (English) |
| Keyword:
|
Navier-Stokes equations |
| Keyword:
|
corner singularities |
| Keyword:
|
finite element method |
| Keyword:
|
numerical results |
| MSC:
|
35Q30 |
| MSC:
|
76D05 |
| MSC:
|
76D06 |
| MSC:
|
76M10 |
| idZBL:
|
Zbl 1313.76035 |
| idMR:
|
MR3204399 |
| . |
| Date available:
|
2017-02-14T08:57:59Z |
| Last updated:
|
2017-04-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702891 |
| . |
