A Fourier approximation method for steady waves over two layers of fluid of different densities
Abstract
Rienecker and Fenton's (1981) numerical method for steady water waves is extended to investigate the effects of varying densities on surface gravity waves for a two layer model. There are no analytical approximations made and a finite Fourier series is used to give a set of non-linear equations which can be solved by Newton's method. The necessary derivatives needed in the Jacobian matrix are evaluated numerically, making the coding rather simpler. The results obtained for the homogeneous fluid agree closely when compared with known results for wave speed from Cokelet (1977).
- Publication:
-
Abstract Only New South Wales Univ
- Pub Date:
- March 1985
- Bibcode:
- 1985nswu.rept.....G
- Keywords:
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- Approximation;
- Density Measurement;
- Gravity Waves;
- Internal Waves;
- Nonlinear Equations;
- Water Waves;
- Amplitudes;
- Jacobi Matrix Method;
- Mathematical Models;
- Newton Methods;
- Velocity Measurement;
- Fluid Mechanics and Heat Transfer