Abstract
The evolution of free surface gravity-capillary flows past a submerged obstacle in a shallow water channel is studied. For weakly nonlinear waves, the problem is formulated as a forced fifth-order Korteweg-de Vries (KdV) equation for the free-surface profile. Solutions to the initial value problem for this equation are computed numerically. It is found that there is a wealth of steady and unsteady behaviors, and several regimes are identified by varying the Froude and Bond numbers. This generalizes previous calculations in the absence of surface tension.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 63-79 |
| Number of pages | 17 |
| Journal | Wave Motion |
| Volume | 29 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1999 |
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- General Physics and Astronomy
- Computational Mathematics
- Applied Mathematics
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