Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)

<p>The objective of this research is to evaluate Method of Line (MOL) used for solution of  water flow equations through porous media using MATLAB package functions for solution of ordinary differential equations ODE,s  , instead of writing long programs codes.  sink &amp; source term to M...

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Main Author: ISAM M. Mahammed
Format: Article
Language:English
Published: Tikrit University 2012-03-01
Series:Tikrit Journal of Engineering Sciences
Subjects:
Online Access:http://www.tj-es.com/ojs/index.php/tjes/article/view/18
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author ISAM M. Mahammed
author_facet ISAM M. Mahammed
author_sort ISAM M. Mahammed
collection DOAJ
description <p>The objective of this research is to evaluate Method of Line (MOL) used for solution of  water flow equations through porous media using MATLAB package functions for solution of ordinary differential equations ODE,s  , instead of writing long programs codes.  sink &amp; source term to MOL model were included. Then Comparing MOL model with another model that uses finite element method in solving water flow equations (FEM) in one dimensional flow using computer program code in FORTRAN.  Two cases were examined for evaluation and comparison of these two models. Firstly, infiltration phenomena using sandy soil was studied with the same parameter for both models.  Results show that there is a divergence between the two models along time of 60 minutes of infiltration. Changes of moisture content with soil depth were sharp with FEM model. Second case, data of  the volume  of water content for wheat field where used taking irrigation and evaporation into account, along the growth period of wheat crop and different depths up to  100 cm. Results show that output of  FEM model has  high degree of agreement with  the measured data for all depths and along all period of growth. Data given by MOL model were less in values than measured data for all depths and along all period of wheat growth time.</p>
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spelling doaj.art-9b0920f708944fd6835c2e7beddddafe2023-09-03T02:05:35ZengTikrit UniversityTikrit Journal of Engineering Sciences1813-162X2312-75892012-03-0119113Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)ISAM M. Mahammed0Technical Institute, Mosul<p>The objective of this research is to evaluate Method of Line (MOL) used for solution of  water flow equations through porous media using MATLAB package functions for solution of ordinary differential equations ODE,s  , instead of writing long programs codes.  sink &amp; source term to MOL model were included. Then Comparing MOL model with another model that uses finite element method in solving water flow equations (FEM) in one dimensional flow using computer program code in FORTRAN.  Two cases were examined for evaluation and comparison of these two models. Firstly, infiltration phenomena using sandy soil was studied with the same parameter for both models.  Results show that there is a divergence between the two models along time of 60 minutes of infiltration. Changes of moisture content with soil depth were sharp with FEM model. Second case, data of  the volume  of water content for wheat field where used taking irrigation and evaporation into account, along the growth period of wheat crop and different depths up to  100 cm. Results show that output of  FEM model has  high degree of agreement with  the measured data for all depths and along all period of growth. Data given by MOL model were less in values than measured data for all depths and along all period of wheat growth time.</p>http://www.tj-es.com/ojs/index.php/tjes/article/view/18MOL, FEM, water flow models, moisture distribution, PDE, ODE
spellingShingle ISAM M. Mahammed
Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)
Tikrit Journal of Engineering Sciences
MOL, FEM, water flow models, moisture distribution, PDE, ODE
title Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)
title_full Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)
title_fullStr Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)
title_full_unstemmed Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)
title_short Evaluation Of Method Of Line (MOL) For Solution Of Soil Water Flow Equations And Comparison With Finite Element Method (FEM)
title_sort evaluation of method of line mol for solution of soil water flow equations and comparison with finite element method fem
topic MOL, FEM, water flow models, moisture distribution, PDE, ODE
url http://www.tj-es.com/ojs/index.php/tjes/article/view/18
work_keys_str_mv AT isammmahammed evaluationofmethodoflinemolforsolutionofsoilwaterflowequationsandcomparisonwithfiniteelementmethodfem