Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method

Ngo-Cong, Duc and An-Vo, Duc-Anh ORCID: and Nguyen-Ky, Tai (2014) Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method. In: 2nd Digital Rural Futures Conference 2014, 25-27 June 2014, University of Southern Queensland Toowoomba, QLD Australia.

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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.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Poster)
Refereed: No
Item Status: Live Archive
Faculty/School / Institute/Centre: No Faculty
Faculty/School / Institute/Centre: No Faculty
Date Deposited: 20 Mar 2018 04:26
Last Modified: 04 Sep 2018 01:23
Fields of Research (2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490399 Numerical and computational mathematics not elsewhere classified
Socio-Economic Objectives (2008): B Economic Development > 88 Transport > 8802 Water Transport > 880299 Water Transport not elsewhere classified

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