The solution of unconfined seepage problem using Natural Element Method (NEM) coupled with Genetic Algorithm (GA)

20Citations
Citations of this article
14Readers
Mendeley users who have this article in their library.

Abstract

Phreatic line detection is a major challenge in seepage problems which should be solved by iterative solving procedures. In conventional methods such as finite element method (FEM), an updating mesh is needed in each iteration where the qualities of the mesh and the nodal connectivity have significant impact on the results. The main aim of this study is to use a method not to be sensitive to mesh generation.In this study, to obtain the optimal phreatic line by the 4th degree polynomial, Natural Element Method (NEM) and Genetic Algorithm (GA) are implemented. Based on the energy principle, an objective function is defined to control the phreatic line position. In the optimization procedure, NEM is utilized to analyze the problem. NEM is a domain type mesh-free method, adapted to geometry of the problem in each iteration. Results display more convergence and flexibility of the present method in comparison with previous studies. © 2012 Elsevier Inc.

Cite

CITATION STYLE

APA

Shahrokhabadi, S., & Toufigh, M. M. (2013). The solution of unconfined seepage problem using Natural Element Method (NEM) coupled with Genetic Algorithm (GA). Applied Mathematical Modelling, 37(5), 2775–2786. https://doi.org/10.1016/j.apm.2012.06.030

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free