| Title:
|
Discontinuous Galerkin method for a 2D nonlocal flocking model (English) |
| Author:
|
Kučera, Václav |
| Author:
|
Zivčáková, Andrea |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016 |
| Issue:
|
2016 |
| Year:
|
|
| Pages:
|
63-72 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present our work on the numerical solution of a continuum model of flocking dynamics in two spatial dimensions. The model consists of the compressible Euler equations with a nonlinear nonlocal term which requires special treatment. We use a semi-implicit discontinuous Galerkin scheme, which proves to be efficient enough to produce results in 2D in reasonable time. This work is a direct extension of the authors' previous work in 1D. (English) |
| Keyword:
|
discontinuous Galerkin method |
| Keyword:
|
semi-implicit time discretization |
| Keyword:
|
nonlocal problems |
| Keyword:
|
flocking dynamics |
| MSC:
|
35Q35 |
| MSC:
|
35Q92 |
| MSC:
|
65M60 |
| DOI:
|
10.21136/panm.2016.08 |
| . |
| Date available:
|
2017-06-20T13:01:56Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702999 |
| . |
