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 |
---|---|
Pages (from-to) | 63-79 |
Number of pages | 17 |
Journal | Wave Motion |
Volume | 29 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 1999 |
ASJC Scopus subject areas
- General Physics and Astronomy