A DRBEM with a predictor–corrector scheme for steady infiltration from periodic channels with root-water uptake |
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| Affiliation: | 1. Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;2. Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;3. Department of Civil Engineering, National Cheng-Kung University, Tainan 70101, Taiwan;4. Bachelor Degree Program in Ocean Engineering and Technology, National Taiwan Ocean University, Keelung 20224, Taiwan;5. Center of Excellence for Ocean Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;1. U.S. Geological Survey, 3215 Marine Street, Ste E127, Boulder, CO 80303, USA;2. University of Colorado, Department of Civil, Environmental, and Architectural Engineering, 428 UCB, Boulder, CO 80309-0428, USA |
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| Abstract: | Water flow in unsaturated soils that is induced by infiltration and root-water uptake processes is governed by Richard's equation. To study the governing equation more conveniently, it is transformed into a modified Helmholtz equation using the Kirchhoff transformation with dimensionless variables. In this study, we employ a dual reciprocity boundary element method (DRBEM) and the predictor–corrector method to numerically solve problems governed by the equation. The proposed method is tested on problems involving infiltration from periodic channels with root water uptake. |
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