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Volume-of-fluid numerical methods for PDE's with irregular boundaries
Optimization| Speaker: | Phil Colella, Lawrence Berkeley Laboratory |
| Location: | 693 Kerr |
| Start time: | Thu, Dec 5 2002, 4:10PM |
Description
We give an overview of a set of numerical methods being
developed for solving classical PDE's in irregular geometries, or in the
presence of free boundaries. In this approach, the irregular boundary is
represented on a rectangular grid by specifying the intersection of each
grid cell with the region on either side of the boundary. Such a
description leads to natural extensions of conservative finite difference
methods to the case of irregular boundaries. Some of the issues that arise
include consistency and stability of such methods, methods for
representing the surface geometry, and the interaction of the
discretization method with the boundary conditions, particularly in the
case of free boundaries. We will also present results using this
approach in solving several applied PDE problems.