DEFIN - COMPUTATIONAL APPLICATION OF FINITE DIFFERENCE METHOD IN HYDRAULICS ENGINEERING

Resumo

The extraction of water from a groundwater aquifer through a well causes the lowering of hydraulic head around the point of extraction. One of the tasks in the project of use of this water resource is to estimate the lowering the water table and the extent of influence on the aquifer caused by extraction. Based on this activity a computer program for applying the Finite Difference Method (FDM) was formulated. With this program results using different algorithms for comparison and verification of the efficiency of each algorithm were obtained. The computer program DIFIN in VBA language - Visual Basic for Applications - is a tool for visualization of results and comparison of methods for solving differential equations applied. In this program is used the MDF with numerical solution by the iterative algorithms Jacobi, Gauss and SOR. Through graphical results is possible to compare the methods, verify the numerical solutions, analytical solutions, the numerical convergence and conclude about the feasibility of the MDF and algorithms in solving differential equations using numerical methods. Using the graphical interface is provided an analysis of these results and is possible to conclude on the efficiency of the methods, as well as on the ability to aid in the understanding the application providing a didactic tool for learning in numerical methods applied in engineering.