Simulation of Wave-Current Interaction Using Novel, Coupled Non-Phase and Phase Resolving Wave and Current Models

Authors: Andrew Kennedy; NOTRE DAME UNIV IN DEPT OF CIVIL ENGINEERING AND GEOLOGICAL SCIENCES

Abstract:

The specific objectives of this project, which began less than six months ago, are to (1) Develop and test novel, fundamentally rotational phase-resolving wave-current systems which may have arbitrary order; (2) Code these theoretical systems and develop them into phase-resolving nearshore surf zone models; and (3) Couple with large scale wave/circulation models. For goal (1), more detailed objectives include combining aspects of Boussinesq and Green-Naghdi water wave theory to arrive at systems that retain the scaling and enhancement of properties through asymptotic rearrangement found in Boussinesq systems; and the fundamentally rotational behavior of Green-Naghdi systems. This will include linear and nonlinear properties such as dispersion, shoaling, and second harmonics. A second goal is to extend Boussinesq scaling to include dual irrotational-rotational scaling for arbitrary order. The system should have the general form of a Boussinesq-type system with mixed space-time derivatives. For goal (2) detailed objectives are to achieve at a high combination of accuracy and efficiency; to develop a code that may be used with complex geometries; and one that will eventually be easy to parallelize. Our objective is also to make as few approximations as possible. We will produce both 2D and 3D codes. For goal (3), our objective is to develop protocols to pass information back and forth with the large scale wave-circulation models, which will be SWAN/ADCIRC for the first development phase.

Limitations:

APPROVED FOR PUBLIC RELEASE