On the Numerical Analysis of Richards' Equationfor Modeling Flow in Unsaturated Soils
The flux of water in unsaturated soils plays an important role in analysis of hydraulic structures. In addition, water infiltration from the soil surface and flux through the soil column are important processes in hydrologic cycles, which they were predicted using the Richards’ equation. The objecti...
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| Format: | Article |
| Language: | fas |
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Shahid Chamran University of Ahvaz
2014-01-01
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| Series: | علوم و مهندسی آبیاری |
| Subjects: | |
| Online Access: | http://jise.scu.ac.ir/article_10817_e10db7aab6e94f4e07cbf56bfdd1d904.pdf |
| _version_ | 1819264308822933504 |
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| author | Alireza Ghalambor SeyedMohammadreza Hashemi Shahrokh Zandparsa |
| author_facet | Alireza Ghalambor SeyedMohammadreza Hashemi Shahrokh Zandparsa |
| author_sort | Alireza Ghalambor |
| collection | DOAJ |
| description | The flux of water in unsaturated soils plays an important role in analysis of hydraulic structures. In addition, water infiltration from the soil surface and flux through the soil column are important processes in hydrologic cycles, which they were predicted using the Richards’ equation. The objective of the present research was to apply a novel numerical technique called Localized Differential Quadrature Method (LDQM) for modeling water flow in unsaturated soils. Up to now, LDQM has been used in many investigations and has been claimed as highly accurate, stable and efficient method. The 1-D Richards’ equation was used as a simple mathematical model. At first, the governing equation and associated initial and boundary conditions were described. Then the implementation of the method for discretization of governing equations was discussed. An analytical solution data and experimental measurements were employed for evaluation of the results. It was concluded that, LDQM has high accuracy and efficiency. The application of the method for 2D and 3D cases is recommended for future researches. <br /> <br /> <br /> |
| first_indexed | 2024-12-23T20:27:26Z |
| format | Article |
| id | doaj.art-645e75f7e082411e8540495a24fbb9fd |
| institution | Directory Open Access Journal |
| issn | 2588-5952 2588-5960 |
| language | fas |
| last_indexed | 2024-12-23T20:27:26Z |
| publishDate | 2014-01-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | علوم و مهندسی آبیاری |
| spelling | doaj.art-645e75f7e082411e8540495a24fbb9fd2022-12-21T17:32:21ZfasShahid Chamran University of Ahvazعلوم و مهندسی آبیاری2588-59522588-59602014-01-01362718110817On the Numerical Analysis of Richards' Equationfor Modeling Flow in Unsaturated SoilsAlireza Ghalambor0SeyedMohammadreza Hashemi1Shahrokh Zandparsa2Former Graduate Student of Water Engineering Department, Agriculture College, Shiraz University.Assistant Professor of Water Engineering Department, Agriculture College, Shiraz University.Associate Professor of Water Engineering Department, Agriculture College, Shiraz University.The flux of water in unsaturated soils plays an important role in analysis of hydraulic structures. In addition, water infiltration from the soil surface and flux through the soil column are important processes in hydrologic cycles, which they were predicted using the Richards’ equation. The objective of the present research was to apply a novel numerical technique called Localized Differential Quadrature Method (LDQM) for modeling water flow in unsaturated soils. Up to now, LDQM has been used in many investigations and has been claimed as highly accurate, stable and efficient method. The 1-D Richards’ equation was used as a simple mathematical model. At first, the governing equation and associated initial and boundary conditions were described. Then the implementation of the method for discretization of governing equations was discussed. An analytical solution data and experimental measurements were employed for evaluation of the results. It was concluded that, LDQM has high accuracy and efficiency. The application of the method for 2D and 3D cases is recommended for future researches. <br /> <br /> <br />http://jise.scu.ac.ir/article_10817_e10db7aab6e94f4e07cbf56bfdd1d904.pdfflow in unsaturated soilrichards’ equationlocalized differential quadrature method |
| spellingShingle | Alireza Ghalambor SeyedMohammadreza Hashemi Shahrokh Zandparsa On the Numerical Analysis of Richards' Equationfor Modeling Flow in Unsaturated Soils علوم و مهندسی آبیاری flow in unsaturated soil richards’ equation localized differential quadrature method |
| title | On the Numerical Analysis of Richards' Equationfor Modeling Flow in
Unsaturated Soils |
| title_full | On the Numerical Analysis of Richards' Equationfor Modeling Flow in
Unsaturated Soils |
| title_fullStr | On the Numerical Analysis of Richards' Equationfor Modeling Flow in
Unsaturated Soils |
| title_full_unstemmed | On the Numerical Analysis of Richards' Equationfor Modeling Flow in
Unsaturated Soils |
| title_short | On the Numerical Analysis of Richards' Equationfor Modeling Flow in
Unsaturated Soils |
| title_sort | on the numerical analysis of richards equationfor modeling flow in unsaturated soils |
| topic | flow in unsaturated soil richards’ equation localized differential quadrature method |
| url | http://jise.scu.ac.ir/article_10817_e10db7aab6e94f4e07cbf56bfdd1d904.pdf |
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