Weakly-reflective boundary conditions for two-dimensional shallow water flow problems
Abstract
Weakly-reflective boundary conditions are derived for the two-dimensional shallow water equations, including bottom friction and Coriolis force. Zero and first order approximations are applied to the test problem of an initially Gaussian-shaped free surface elevation. Numerical implementation of a finite element program used for the solution is discussed. For small scale practical problems a one parameter formulation might be sufficient. The influence of this parameter on the weakly-reflectiveness of the boundary condition is discussed.
- Publication:
-
Presented at 5th Intern. Conf. on Finite Elements in Water Resources
- Pub Date:
- July 1984
- Bibcode:
- 1984fewr.conf.....V
- Keywords:
-
- Boundary Conditions;
- Boundary Value Problems;
- Shallow Water;
- Two Dimensional Flow;
- Water Flow;
- Coriolis Effect;
- Finite Element Method;
- Hydrology Models;
- Viscous Drag;
- Fluid Mechanics and Heat Transfer