In this paper, we introduce peridynamic theory and its application to Richards' equation with
a piecewise smooth initial condition. Peridynamic theory is a non-local continuum theory that …

Robust and reliable numerical models are vital to solve the Richards' equation, which
depicts the variably saturated flows in porous media. In this study, the Richards' equation is …

A hybrid interpolating meshless (HIM) method is established for dealing with three-
dimensional (3D) advection–diffusion equations. To improve computational efficiency, a 3D …

Root-zone soil moisture monitoring is essential for sensor-based smart irrigation and
agricultural drought prevention. Modeling the spatiotemporal water flow dynamics in porous …

Richards' partial differential equation normally governs water flows in soil. It can be utilized
to investigate water infiltration in the soil. A case study of the Haverkamp's water infiltration …

Water flow in soil is normally governed by Richards' partial differential equation. Similarly,
the equation can be used to investigate water infiltration in the soil. It is well understood that …

AbstractBackground and ObjectivesIn many fields of water sciences, the moisture movement
in the soil profile is very important. Due to the non-linearity of the governing equation in …

Gas flow behavior in the unsaturated subsurface (vadose zone) has implications on
environmental work and is investigated here in the context of waste sites at the US …

The uncertainty associated with traditional evapotranspiration (ET) based irrigation
scheduling contributes to over-or underwater application. The lack of reliability in ET-based …

Ce travail traite de la modélisation numérique des écoulements sur et à travers les digues
en terre. Un modèle d'écoulement effectuant un couplage entre ces deux types …