Abstract
We present a discontinuous spectral element model for simulating 1D nonlinear dispersive water waves, described by a set of enhanced Boussinesq-type equations. The advective fluxes are calculated using an approximate Riemann solver while the dispersive fluxes are obtained by centred numerical fluxes. Numerical computation of solitary wave propagation is used to prove the exponential convergence.
| Original language | English |
|---|---|
| Journal | Journal of Scientific Computing |
| Volume | 17 |
| Issue number | 1-4 |
| Pages (from-to) | 143-152 |
| Number of pages | 10 |
| ISSN | 0885-7474 |
| Publication status | Published - Dec 2002 |
| Externally published | Yes |
Keywords
- Boussinesq-type equations
- Discontinuous spectral element method