Abstract
New computation algorithms for a fluid-dynamic mathematical model of flows on networks are proposed, described and tested. First we improve the classical Godunov scheme (G) for a special flux function, thus obtaining a more efficient method, the Fast Godunov scheme (FG) which reduces the number of evaluations for the numerical flux. Then a new method, namely the Fast Shock Fitting method (FSF), based on good theorical properties of the solution of the problem is introduced. Numerical results and efficiency tests are presented in order to show the behaviour of FSF in comparison with G, FG and a conservative scheme of second order.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 427-448 |
| Number of pages | 22 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 6 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 2006 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Finite difference schemes
- Fluid-dynamic models
- Scalar conservation laws
- Traffic flow