A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils

DOI10.1016/J.CAMWA.2019.07.026zbMath1459.76115OpenAlexW2964594818WikidataQ127391853 ScholiaQ127391853MaRDI QIDQ2212311

Fabio V. Difonzo, Marco Berardi, Luciano Lopez

Publication date: 20 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.07.026

zbMATH Keywords

Kirchhoff transformdiscontinuous intefaceexplicit method of linesFilippov dynamical system theoryimplicit method of lines

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Basic methods in fluid mechanics (76M99)

Related Items (12)

Application of an improved \(\mathrm{P}(m)\)-SOR iteration method for flow in partially saturated soils ⋮ A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards' equation ⋮ Numerical simulations for initial value inversion problem in a two-dimensional degenerate parabolic equation ⋮ Exponential finite difference scheme for transport equations with discontinuous coefficients in porous media ⋮ A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models ⋮ A numerical method for a nonlocal form of Richards' equation based on peridynamic theory ⋮ Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation ⋮ A preliminary model for optimal control of moisture content in unsaturated soils ⋮ A filtered Chebyshev spectral method for conservation laws on network ⋮ On the implementation of a finite volumes scheme with monotone transmission conditions for scalar conservation laws on a star-shaped network ⋮ A virtual element method for the miscible displacement of incompressible fluids in porous media ⋮ A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models

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