A DRM for steady water absorption from different types of periodic channels

The Indonesian Operations Research Association (IORA) - International Conference on Operations Research 2016

Solekhudin, I.^1

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah, Mada, Indonesia^1

关键词: Different geometry;    Dimensionless variables;    Dual reciprocity methods;    Governing equations;    Kirchhoff transformations;    Modified helmholtz equations;    Periodic channels;    Predictor-corrector schemes;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/166/1/012027/pdf
DOI  :  10.1088/1757-899X/166/1/012027

来源: IOP

【 摘 要 】

In this paper, problems involving steady infiltration from a homogeneous soil with water absorption by plant roots are studied. Different geometries of periodic channels are considered. The governing equation of the problems is a Richards equation. This equation may not be solved analytically. Hence, a numerical method is needed. To do so, the equation is transformed into a modified Helmholtz equation using a set of transformations involving Kirchhoff transformation, dimensionless variables and an exponential transformation. The modified Helmholtz equation is then solved numerically using a Dual Reciprocity Method (DRM) with a predictor-corrector scheme. Results obtained from channels with different geometries are presented.