| Title:
|
Riemann solution for hyperbolic equations with discontinuous coefficients (English) |
| Author:
|
Remaki, L. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2013 |
| Volume:
|
Proceedings. Prague, May 15-17, 2013 |
| Issue:
|
2013 |
| Year:
|
|
| Pages:
|
188-196 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with a Riemann solution for scalar hyperbolic equations with discontinuous coefficients. In many numerical schemes of Godunov type in fluid dynamics, electromagnetic and so on, usually hyperbolic problems are solved to estimate fluxes. The exact solution is generally difficult to obtain, but good approximations are provided in many situations like Roe and HLLC Riemann solvers in fluid. However all these solvers assumes that the acoustic waves speeds are continuous which is not true as we will show in this paper. A new Riemann solver is then proposed based on previous work of the author and an application to a gas-particle model for a 90 degree curved bend is performed. (English) |
| Keyword:
|
hyperbolic equations |
| Keyword:
|
Riemann solution |
| Keyword:
|
discontinuous coefficients |
| MSC:
|
35L40 |
| MSC:
|
35L45 |
| MSC:
|
35L50 |
| MSC:
|
35R05 |
| MSC:
|
65M08 |
| MSC:
|
76P05 |
| idZBL:
|
Zbl 1340.35195 |
| idMR:
|
MR3204443 |
| . |
| Date available:
|
2017-02-14T09:18:38Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702946 |
| . |
