Abstract
We study the significance of the spatial reconstruction when solving the one dimensional shallow water equations using a finite volume method. For that aim, we implement the explicit forward Euler method for temporal integration while the spatial discretization is performed by finite volume method. We compare the results of constant spatial reconstruction with those of linear spatial reconstruction. The numerical tests include the steady state of a lake at rest, the steady state of moving water and an unsteady state of dam break problem. It is shown that the spatial reconstruction has a significant role in the accuracy of the finite volume method.
| Original language | English |
|---|---|
| Pages (from-to) | 1411-1420 |
| Number of pages | 10 |
| Journal | Applied Mathematical Sciences |
| Issue number | 29-32 |
| DOIs | |
| Publication status | Published - 2014 |
Keywords
- Finite volume
- Shallow water equations
- Spatial reconstruction