Galerkin finite difference Laplacian operators on isolated unstructured triangular meshes by linear combinations
Abstract
The Galerkin weighted residual technique using linear triangular weight functions is employed to develop finite difference formulae in Cartesian coordinates for the Laplacian operator on isolated unstructured triangular grids. The weighted residual coefficients associated with the weak formulation of the Laplacian operator along with linear combinations of the residual equations are used to develop the algorithm. The algorithm was tested for a wide variety of unstructured meshes and found to give satisfactory results.
- Publication:
-
Proposed for presentation at the 1990 Winter Annual Meeting of the ASME
- Pub Date:
- 1990
- Bibcode:
- 1990asme.meetQ..25B
- Keywords:
-
- Cartesian Coordinates;
- Computational Grids;
- Finite Difference Theory;
- Galerkin Method;
- Laplace Transformation;
- Operators (Mathematics);
- Algorithms;
- Coefficients;
- Fluid Mechanics and Heat Transfer