Applications of boundary integral methods to the study of steep free surface waves
Abstract
Boundary Integral Methods are applied to the study of three problems on two dimensional steep surface waves. The first problem is on the propagation of steady waves moving on a shearing flow with constant vorticity. Steady solutions which are either spacially periodic or solitary waves are calculated up to the limiting wave with and angle of 120 deg at its crest. The second problem is on the unsteady development of bores. Bores are studied an an evolution problem starting from an initially smooth wave of elevation. For weaker bores, the growth of undulations is studied in detail; stronger bores are followed until they break. Calculated results are compared with experiments with a general good agreement. The third problem is on the interaction of a submerged cylinder and a free surface flow. The flow produced by an obstacle of finite dimensions fixed in an otherwise uniform stream is calculated for several sizes of the obstacle and different values of the Froude number. Also studied are the disturbances produced on an initially flat water surface by a moving submerged cylinder.
 Publication:

Ph.D. Thesis
 Pub Date:
 March 1989
 Bibcode:
 1989PhDT........24T
 Keywords:

 Boundary Integral Method;
 Flow Distribution;
 Solitary Waves;
 Surface Waves;
 Vorticity;
 Wave Propagation;
 Cavities;
 Computational Fluid Dynamics;
 Elevation;
 Flat Surfaces;
 Free Flow;
 Froude Number;
 Shearing;
 Water;
 Fluid Mechanics and Heat Transfer