| Popis: |
The finite element method for free surface flows is described. The topics presented include: the use of elements to discretize the solution domain, shape functions to interpolate values within these elements (with emphasis on linear and quadratic shape functions for one-and two-dimensional problems), application of Galerkin’s method to a simple differential equation, as well as to the Navier-Stokes and continuity equations, integration by parts, coordinate transformations, numerical integration, boundary conditions, solution of non-linear equations, and integrating the unsteady term. These methods are applied to the evaluation of the Galerkin integral for the continuity equation. |
