Review of numerical solution of Richardson–Richards equation for variably saturated flow in soils

Y Zha, J Yang, J Zeng, CHM Tso… - Wiley Interdisciplinary …, 2019 - Wiley Online Library
Modeling variably saturated flow in the vadose zone is of vital importance to many scientific
fields and engineering applications. Richardson–Richards equation (RRE, which is …

Mathematical framework for unsaturated flow in the finite deformation range

X Song, RI Borja - International Journal for Numerical Methods …, 2014 - Wiley Online Library
The presence of fluid in the pores of a solid imposes a volume constraint on the deformation
of the solid. Finite changes in the pore volume alter the degree of saturation of a porous …

[PDF][PDF] 时间分数阶的非饱和渗流数值分析及其应用

朱帅润, 李绍红, 钟彩尹, 吴礼舟 - 应用数学和力学, 2022 - applmathmech.cn
非饱和渗流过程的数值模拟对土质边坡稳定性分析, 地下污染物迁移模拟等众多领域有着重要的
意义. Richards 方程由于其普遍适用性被广泛地应用, 然而Richards 方程所描述的渗流过程并未 …

Application of an improved P(m)-SOR iteration method for flow in partially saturated soils

SR Zhu, LZ Wu, J Huang - Computational Geosciences, 2022 - Springer
This paper studies the potential of using the successive over-relaxation iteration method with
polynomial preconditioner (P (m)-SOR) to solve variably saturated flow problems described …

A modified Picard iteration scheme for overcoming numerical difficulties of simulating infiltration into dry soil

Y Zha, J Yang, L Yin, Y Zhang, W Zeng, L Shi - Journal of hydrology, 2017 - Elsevier
Numerical models based on Richards' equation are often employed to simulate the soil
water dynamics. Among them, those Picard iteration models which use the head as primary …

[HTML][HTML] Numerical solution of the Kirchhoff-transformed Richards equation for simulating variably saturated flow in heterogeneous layered porous media

H Suk, E Park - Journal of Hydrology, 2019 - Elsevier
A new numerical method was developed to accurately and efficiently compute a solution of
the nonlinear Richards equation with a layered soil. In the proposed method, the Kirchhoff …

[HTML][HTML] A mixed MoL–TMoL for the numerical solution of the 2D Richards' equation in layered soils

M Berardi, F Difonzo, L Lopez - Computers & Mathematics with Applications, 2020 - Elsevier
Water infiltration into layered soils is studied, considering a two dimensional spatial domain.
The focus is on the treatment of discontinuity at the intersection of non-overlapping soils. The …

Finite deformation and fluid flow in unsaturated soils with random heterogeneity

X Song, RI Borja - Vadose Zone Journal, 2014 - Wiley Online Library
The first law of thermodynamics suggests an energy‐conjugate relationship among degree
of saturation, suction stress, and density of an unsaturated porous material. Experimental …

A modified SWAT model for mechanistic simulation of soil water‐salt transport and the interactions with shallow groundwater

D Mu, Y Xun, Y Gao, D Ren, C Sun, X Ma… - Hydrological …, 2023 - Wiley Online Library
Current hydrological models still face difficulties in accurately simulating vadose zone (VZ)
hydrological processes in arid watersheds with shallow groundwater environments …

The 1D Richards' equation in two layered soils: a Filippov approach to treat discontinuities

M Berardi, F Difonzo, M Vurro, L Lopez - Advances in water resources, 2018 - Elsevier
The infiltration process into the soil is generally modeled by the Richards' partial differential
equation (PDE). In this paper a new approach for modeling the infiltration process through …