SYMMETRIC SURFACE WAVES OVER A BUMP Choi, J.W.; An, Daniel; Lim, Chae-Ho; Park, Sang-Ro;
We study the surface waves of an incompressible fluid passing over a small bump. A forced KdV equation for surface wave is derived without assuming that flow is uniform at far upstream. New types of steady solutions are discovered numerically. Two new cut off values of Froude number are found, above the larger of which two symmetric solutions exist and under the smaller of which two different symmetric solutions exist.