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A DUAL-RECIPROCITY BOUNDARY ELEMENT METHOD FOR STEADY INFILTRATION PROBLEMS

Part of: Basic methods in fluid mechanics

Published online by Cambridge University Press:  18 July 2013

I. SOLEKHUDIN  and
K. C. ANG
I. SOLEKHUDIN*
Affiliation:
Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore email kengcheng.ang@nie.edu.sg Department of Mathematics, Faculty of Mathematics and Natural Sciences, Gadjah Mada University, Yogyakarta 55281, Indonesia email imam.solekhudin@stdmail.nie.edu.sg
K. C. ANG
Affiliation:
Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore email kengcheng.ang@nie.edu.sg
*
✉imams@ugm.ac.id
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Abstract

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Steady water infiltration in homogeneous soils is governed by the Richards equation. This equation can be studied more conveniently by transforming to a type of Helmholtz equation. In this study, a dual-reciprocity boundary element method (DRBEM) is employed to solve the Helmholtz equation numerically. Using the solutions obtained, numerical values of the suction potential are then computed. The proposed method is tested on problems involving infiltration from different types of periodic channels in a homogeneous soil. Moreover, the method is also examined using infiltration from periodic trapezoidal channels in three different types of homogeneous soil.

Keywords

Richards equationsuction potentialdual-reciprocity boundary element methodperiodic identical irrigation channels

MSC classification

Secondary: 76M15: Boundary element methods
Type
Research Article
Information
The ANZIAM Journal , Volume 54 , Issue 3 , January 2013 , pp. 171 - 180
Copyright
Copyright ©2013 Australian Mathematical Society 

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