Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides

DOI10.1016/j.apm.2019.11.043zbMath1481.76229OpenAlexW2990591915WikidataQ126668434 ScholiaQ126668434MaRDI QIDQ1988961

Yanyan Li

Publication date: 24 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.11.043

zbMATH Keywords

accuracyChebyshev spectral methodslope stabilityRichards equationgrid size

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

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Cites Work

• A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
• A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A study on iterative methods for solving Richards' equation
• On solving free surface problems in layered soil using the method of fundamental solutions
• Numerical solutions for groundwater flow in unsaturated layered soil with extreme physical property contrasts
• Innovative modelling of 3D unsaturated flow in porous media by coupling independent models for vertical and lateral flows
• Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows
• Saturated-unsaturated groundwater modeling using 3D Richards equation with a coordinate transform of nonorthogonal grids
• Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils
• Acceleration techniques for the iterative resolution of the Richards equation by the finite volume method
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• Computational modelling of variably saturated flow in porous media with complex three‐dimensional geometries
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