An iterative finite difference model is developed to describe two-dimensional periodic gravity waves on the surface of a fluid containing vorticity in the form of a vertical shear current. A coordinate transformation due to Dubreil-Jacotin has been used to map the fluid domain into a rectangle. The full nonlinear constant pressure free surface boundary condition is used iteratively until convergence is achieved. A comparison is made to an analytical model for a linear shear current and results are also shown for a mean flow with a ( 1 7) power law velocity distribution.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Computer Science Applications