Journal
JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN
Volume 29, Issue 5, Pages 698-713Publisher
NATL TAIWAN OCEAN UNIV
DOI: 10.51400/2709-6998.2470
Keywords
Unsaturated flow; Richards equation; Radial basis function; Meshless method; Heterogeneous porous media
Categories
Funding
- Ministry of Science and Technology, Taiwan
- Republic of China [MOST 108-2621-M-019-008]
- Ministry of Science and Technology
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This study presents a meshless method using radial basis function to solve unsaturated flow in heterogeneous porous media, successfully simulating hydrological processes in layered heterogeneous soils. The results demonstrate that this method can enhance the applicability for solving unsaturated flow problems.
This paper presents a study for solving unsaturated flow in heterogeneous porous media using the meshless method with the radial basis function (RBF). For modeling the nonlinear hydrological process in unsaturated zone, an exponential model is introduced in the Richards equation such that we may obtain the linearized Richards equation. We adopt the multiquadric function as the RBF in the meshless method for solving the linearized Richards equation. For simulating the unsaturated flow problems in layered heterogeneous soils, the flux and the head must satisfy the continuity condition at the interface. Several examples are carried out for modeling the hydrological process in multielayered unsaturated soils. The results demonstrate that we only discretize by a set of points without tedious mesh generation and significantly enhance the applicability for solving unsaturated flow problems, especially in heterogeneous multielayered soils with extreme physical property contrasts.
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