Review of numerical solution of Richardson–Richards equation for variably saturated flow in soils
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 …
fields and engineering applications. Richardson–Richards equation (RRE, which is …
Mathematical framework for unsaturated flow in the finite deformation range
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 …
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 …
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 …
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
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 …
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 …
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
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 …
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
The first law of thermodynamics suggests an energy‐conjugate relationship among degree
of saturation, suction stress, and density of an unsaturated porous material. Experimental …
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 …
hydrological processes in arid watersheds with shallow groundwater environments …
The 1D Richards' equation in two layered soils: a Filippov approach to treat discontinuities
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 …
equation (PDE). In this paper a new approach for modeling the infiltration process through …