Automatic Generation Of Finite Element Network for Bidimensional and Quasi-Three-Dimensional Equations Governing the Groundwater Flow
The FE network generation method is based on the use of digitalized thematic maps and is particularly adapted for groundwater modelling. The generated network follows properly both the area contour and the internal lines such as rivers, faults and geological boundaries, even in very complex configurations.The mesh areas can vary within a large range, in different zones of the grid. The meshes are always sufficiently regularly-shaped to avoid numerical criticity during the solution of the finite element equations. Transition zones between areas of different density, with connection elements of a gradually varying area, are automatically generated. The attribution of the different physical parameters to the elements and nodes of the grid is done automatically by means of digitalized thematic maps. A practical application of this methodology is shown by Pizzi G. and Sartori L. (1982) with the model of the western Libya regional aquifer system.
Unable to display preview. Download preview PDF.
- Akin J.F., Pardue R.M. (1976). Elemental resequencing for frontal solutions.Google Scholar
- The mathematics of finite elements and applications II MAFELAP 1975. Proceedings of the Brunel University Conference of the Institute of Mathematics and its applications held in April 1975. Academic Press.Google Scholar
- Bresenham J.E. (1965) Algorithm for computer control of a digital plotter. IBM System Journal Vol. 4 no 1.Google Scholar
- Merrill R.D. (1973) Representation of contour and regions for efficient computer search. Com. Of A.C.M. Vol. 16, February.Google Scholar
- Pizzi G., Sartori L. (1982) Interconnected GROundwater System Simulations (IGROSS). Description of the system and its applications to the Western Libya regional aquifer. 4th Int. Conf. on Finite Elements in Water Resources. Hannover.Google Scholar
- Sartori L., Peverieri G. (1982) A frontal method based solution of the quasi-three-dimensional finite element model for interconnected aquifer systems and fluid mass balance evaluation. Steady and unsteady equations. 4th Int. Conf. on Finite Elements in Water Resources. Hannover.Google Scholar