scholarly journals Suction Potential and Water Absorption from Periodic Channels in Different Types of Homogeneous Soils

2012 ◽  
Vol 10 (2) ◽  
Author(s):  
I. Solekhudin ◽  
K. C. Ang
Keyword(s):  
Helmholtz Equation ◽  
Water Absorption ◽  
Water Uptake ◽  
Numerical Solutions ◽  
Root Water Uptake ◽  
Font Size ◽  
Modified Helmholtz Equation ◽  
Different Types ◽  
Dimensionless Variables ◽  
Predictor Corrector

<p><span style="font-size: 10.000000pt; font-family: 'CMR10';">In this paper, problems involving infiltration from periodic identical trapezoidal channels into homogeneous soils with root water uptake are considered. The governing equation of infiltration through soil is transformed to a modified Helmholtz equation using Kirchoff transformation with dimensionless variables. A DRBEM with a predictor-corrector scheme is employed to obtain numerical solutions to the modified Helmholtz equation. The proposed method is used to solve infiltration problems in three different types of soil. Results are shown to be physically meaningful. </span></p>

scholarly journals DUAL RECIPROCITY BOUNDARY ELEMENT METHOD (DRBEM) DENGAN PREDIKTOR-KOREKTOR UNTUK MASALAH INFILTRASI STASIONER PADA SALURAN DENGAN LAPISAN IMPERMEABEL DENGAN ROOT WATER UPTAKE

2019 ◽  
Vol 4 (1) ◽  
pp. 19
Author(s):  
Irma Novalinda Nasution
Keyword(s):  
Boundary Element Method ◽  
Helmholtz Equation ◽  
Numerical Solution ◽  
Boundary Element ◽  
Water Uptake ◽  
Root Water Uptake ◽  
Dimensionless Parameters ◽  
Modified Helmholtz Equation ◽  
Predictor Corrector ◽  
Element Method

This study  aims to discussed  about Dual Reciprocity Boundary Element Method (DRBEM) with a predictor-corrector for steady infiltration problems with impermeabel layer with root water uptake in homogeneous soils. Steady infiltration in homogeneous soils is governed by Richard equation. This equation is transformed using a set of transformation including Khirchoff, dimensionless variabels and dimensionless parameters into a type of modified Helmholtz equation. Furthermore with DRBEM, numerical solution of modified Helmholtz equation obtained. The proposed method is tested on problem involved infiltration from rectangular and trapezoidal channels with impermeabel layer with root water uptake. Keyword : infiltration, root water uptake, modified Helmholtz equation, Richard equation, DRBEM

scholarly journals A DRBEM For Time-Dependent Infiltration from Periodic Irrigation Channels in a Homogeneous Soil

2013 ◽  
Vol 11 (1) ◽  
Author(s):  
I. Solekhudin ◽  
K. C. Ang
Keyword(s):  
Boundary Element Method ◽  
Helmholtz Equation ◽  
Water Infiltration ◽  
Time Dependent ◽  
Font Size ◽  
Kirchhoff Transformation ◽  
Richard's Equation ◽  
Irrigation Channels ◽  
Homogeneous Soil ◽  
Dimensionless Variables

<p><span style="font-size: 10.000000pt; font-family: 'CMR10';">In this paper, a problem involving time-dependent water flow in a homogeneous soil is considered. The problem involves water infiltration from periodic identical trapezoidal channels. A governing equation of the problem is the Richard’s equation, which can be studied more conveniently by transforming the equation to a Helmholtz equation using the Kirchhoff transformation with dimensionless variables and a Laplace’s transform. A dual reciprocity boundary element method (DRBEM) is employed to solve the Helmholtz equation numerically. Results obtained are found to be physically reasonable. </span></p>

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