Abstract
For certain initial conditions, the exact solution to the Riemann problem for the shallow water equations is not unique. We test the performance of several numerical methods on such initial data and establish that the numerical solution can pick out different exact solutions. Moreover, the numerical solution does not necessarily converge towards the picked-out exact solution.
| Original language | English |
|---|---|
| Pages (from-to) | 825-831 |
| Number of pages | 7 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 47 |
| Issue number | 8-9 |
| DOIs | |
| Publication status | Published - 20 Mar 2005 |
| Externally published | Yes |
| Event | 8th ICFD Conference on Numerical Methods for Fluid Dynamics - Oxford, United Kingdom Duration: 29 Mar 2004 → 1 Apr 2004 Conference number: 8 |
Keywords
- Non-strictly hyperbolic non-conservative system
- Riemann problem
- Shallow water equations
- Test cases
Programme Area
- Programme Area 2: Water Resources