Abstract
In this paper, we try to obtain a numerical solution for finite element which is formulated for steady-state groundwater flow discretized by using triangular element grid. Then, a MATLAB program is deveoped for this purpose to get primarily the unknown potential function at the triangular elements nodes. The Simulation of Finite element Field problems MATLAB Program was developed and implemented, as a check and test of nodal potential value. The program SFFP was applied for solution of a two-dimensional porous medium problem, fluid flow problem, and body exposure to a heat source problem. In the meantime, results obtained when compared with published data, found very close with maximum percentage difference of 0.22%. Thus, SFFP was applied to groundwater flow beneath a coffer dam problem of known results as a case study; for verification, a comparison of the results was obtained with a maximum percentage difference of 1.32%. This verifies the accuracy of SFFP results.
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Omer, M.S., Mohamed, A.E. (2023). 2D Finite Element Simulation of Steady-State Groundwater Flow Using MATLAB. In: Salih, G.H.A., Saeed, R.A. (eds) Sustainability Challenges and Delivering Practical Engineering Solutions. Advances in Science, Technology & Innovation. Springer, Cham. https://doi.org/10.1007/978-3-031-26580-8_19
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DOI: https://doi.org/10.1007/978-3-031-26580-8_19
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