Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method
Poster
Paper/Presentation Title | Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method |
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Presentation Type | Poster |
Authors | Ngo-Cong, Duc (Author), An-Vo, Duc-Anh (Author) and Nguyen-Ky, Tai (Author) |
Year | 2014 |
Conference/Event | 2nd Digital Rural Futures Conference 2014 |
Event Details | 2nd Digital Rural Futures Conference 2014 Event Date 25 to end of 27 Jun 2014 Event Location Toowoomba, Australia |
Abstract | In the present paper, we develop an efficient and accurate numerical approach based on one-dimensional-moving integrated radial basis function (1D-MIRBF) and fully implicit modified Picard method for simulating fluid movement in heterogeneous soils governed by the highly non-linear Richards equation. The major advantages of the proposed 1D-MIRBF method include (i) a banded sparse system matrix that helps reduce the computational cost; (ii) the Kronecker Delta property of the constructed shape functions, which helps impose the essential boundary conditions in an exact manner; and (iii) high accuracy and fast convergence rate owing to the use of the IRBF approximation. The performance of the present method is demonstrated through several 1--D and 2--D soil infiltration problems. Numerical results obtained are in agreement with other published results in the literature. This solver for moisture motion in soils will be incorporated into a surface-water-flow solver to handle the surface irrigation problem. |
ANZSRC Field of Research 2020 | 490399. Numerical and computational mathematics not elsewhere classified |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q48xw/numerical-modelling-of-moisture-motion-in-heterogeneous-soils-using-1d-mirbf-method
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