Spreadsheet Solutions To Laplace's Equation: Seepage And Flow Net

1996 ◽  
pp. 53-67 ◽  
Author(s):  
Mahadzer Mahmud
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Relaxation Method ◽  
Laplace’S Equation ◽  
User Friendliness ◽  
Spreadsheet Program ◽  
Laplace's Equation ◽  
Complex Engineering ◽  
Spreadsheet Modelling

There has been an increasing interest in applying the electronic spreadsheets, traditionally used for the financial and accounting purposes, to solve complex engineering problems. This paper aims to describe the application of spreadsheets to solve the finite difference to Laplace's equation. The simple form of finite difference method also known as the relaxation method will be used for seepage analysis.The spreadsheet program used for this study was chosen based on the power, flexibility and the versatility of this package in various computing environments. Nevertheless any other spreadsheet programs can also perform the same task with varying levels of user friendliness. Keywords: Spreadsheet modelling, flow net, seepage, finite difference method

HEAT TRANSFER IN LARGE RUBBER ELEMENTS THROUGH OF MODELING BY FINITE DIFFERENCE METHOD

2019 ◽  
Author(s):  
Lucas Peixoto ◽  
Ane Lis Marocki ◽  
Celso Vieira Junior ◽  
Viviana Mariani
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method

Weighted Finite Difference and Boundary Element Methods Applied to Groundwater Pollution Problems

1991 ◽  
Vol 23 (1-3) ◽  
pp. 517-524
Author(s):  
M. Kanoh ◽  
T. Kuroki ◽  
K. Fujino ◽  
T. Ueda
Keyword(s):  
Boundary Element Method ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Element ◽  
Difference Method ◽  
Groundwater Pollution ◽  
Small Region ◽  
Boundary Element Methods ◽  
Computational Time ◽  
Element Method

The purpose of the paper is to apply two methods to groundwater pollution in porous media. The methods are the weighted finite difference method and the boundary element method, which were proposed or developed by Kanoh et al. (1986,1988) for advective diffusion problems. Numerical modeling of groundwater pollution is also investigated in this paper. By subdividing the domain into subdomains, the nonlinearity is localized to a small region. Computational time for groundwater pollution problems can be saved by the boundary element method; accurate numerical results can be obtained by the weighted finite difference method. The computational solutions to the problem of seawater intrusion into coastal aquifers are compared with experimental results.

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