Directly multimoded two-flow long surface waves
Abstract
The purpose of this study is to reduce in a relatively direct fashion the general two-dimensional linear hydrodynamic equations, for long surface waves in a rotating lossy two-port basin, to a set of coupled ordinary differential equations governing the multimode amplitudes of two counter-flowing wave trains between the ports of the basin. A relatively direct and novel reduction is made of the long wave hydrodynamic partial differential equations into sets of coupled ordinary differential equations governing the two-flow components of wave elevation in natural water basins. These basins have two ports, arbitrary coastlines, are rotating as parts of the rotating earth, and exhibit bottom friction.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- May 1975
- Bibcode:
- 1975STIN...7622507P
- Keywords:
-
- Rivers;
- Structural Basins;
- Surface Waves;
- Boundary Value Problems;
- Coasts;
- Friction;
- Partial Differential Equations;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer