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The water circulation in the Soil-Plant-Atmosphere continuum and particularly the soil erosion induced by water are problems of main concern in the new era of climate change. The present paper aims to provide a mathematical tool to…

Fluid Dynamics · Physics 2024-08-23 Stelian Ion , Dorin Marinescu , Stefan-Gicu Cruceanu

The hillslope hydrological processes are very important in watershed hydrology research. In this paper we focus on the water flow over the soil surface with vegetation in a hydrographic basin. We introduce a PDE model based on general…

Fluid Dynamics · Physics 2019-08-02 Stelian Ion , Dorin Marinescu , Stefan-Gicu Cruceanu

The hillslope hydrological processes are very important in watershed hydrology research. In this paper we focus on the water flow over the soil surface with vegetation in a hydrographic basin. We introduce a PDE model based on general…

Analysis of PDEs · Mathematics 2020-09-03 Stelian Ion , Dorin Marinescu , Stefan-Gicu Cruceanu

In this paper we consider the multiscale modelling of water transport in vegetated soil. In the microscopic model we distinguish between subdomains of soil and plant tissue, and use the Richards equation to model the water transport through…

Analysis of PDEs · Mathematics 2024-11-05 Andrew Mair , Mariya Ptashnyk

In this paper, we propose to use the HLL finite volume scheme combined with implicit techniques for modelling the coupled surface and subsurface water flows. In our approach, we used the shallow water equations modelling surface water flow…

Numerical Analysis · Mathematics 2021-06-03 Hasan Karjoun , Abdelaziz Beljadid

Understanding how submerged vegetation modifies the water surface is crucial for modeling momentum exchange between shallow waters and the atmosphere. In particular, quantifying its impact on the equivalent aerodynamic roughness of the…

Fluid Dynamics · Physics 2026-01-26 Giulio Foggi Rota , Alessandro Chiarini , Marco Edoardo Rosti

Fluid flow through layered materials with different wetting behavior is observed in a wide range of applications in biological, environmental and technical systems. Therefore, it is necessary to understand the occuring transport mechanisms…

Fluid Dynamics · Physics 2022-02-01 Cynthia Michalkowski , Kilian Weishaupt , Veronika Schleper , Rainer Helmig

Surface runoff shapes planetary landscapes, but global hydrological models often lack the resolution and flexibility to simulate dynamic surface water bodies beyond Earth. Recent studies of Mars have revealed abundant geological and…

Earth and Planetary Astrophysics · Physics 2026-03-05 Alexandre Gauvain , François Forget , Martin Turbet , Jean-Baptiste Clément , Lucas Lange , Romain Vandemeulebrouck

Surface heterogeneity, particularly complex patterns of surface heating, significantly influences mesoscale atmospheric flows, yet observational constraints and modeling limitations have hindered comprehensive understanding and model…

Atmospheric and Oceanic Physics · Physics 2025-11-10 Tyler Waterman , Peter Germ , Marc Calaf , Eric Pardyjak , Nathaniel Chaney

Nonlinear plant-scale interactions controlling the soil-water balance are generally not valid at larger spatial scales due to spatial heterogeneity in rainfall and vegetation type. The relationships between spatially averaged variables are…

Homogenization method is used to analyse the equivalent behavior of transient flow of a passive solute through highly heterogeneous porous media. The flow is governed by a coupled system which includes an elliptic equation and a linear…

Mathematical Physics · Physics 2007-05-23 Brahim Amaziane , Alain Bourgeat , Mladen Jurak

In soft porous media, deformation drives solute transport via the intrinsic coupling between flow of the fluid and rearrangement of the pore structure. Solute transport driven by periodic loading, in particular, can be of great relevance in…

Fluid Dynamics · Physics 2025-04-16 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

Solid waste disposal in a landfill causes leachate production whose discharge to soil layers carries soil and leachate contaminants to the groundwater. A landfill with a capacity of 3000 ton/day and an area of 0.5 square kilometers is…

Numerical Analysis · Mathematics 2019-05-08 Farhikhteh Samadi , S. Missagh Shamshiri G

Subsurface sequestration of CO2 has received attention from the global scientific community in response to climate change concerns due to higher concentrations of CO2 in the atmosphere. Mathematical models have thus been developed to aid…

Computational Physics · Physics 2020-04-28 Feyi Olalotiti-Lawal , Shusei Tanaka , Akhil Datta-Gupta

Anthropogenic pollution of hydrological systems affects diverse communities and ecosystems around the world. Data analytics and modeling tools play a key role in fighting this challenge, as they can help identify key sources as well as…

Machine Learning · Computer Science 2023-09-26 David L. Cole , Gerardo J. Ruiz-Mercado , Victor M. Zavala

Biological processes like the sequestration of Superoxide Dismutase 1 (SOD1) into biomolecular condensates such as FUS and stress granules are essential to understanding disease mechanisms, including amyotrophic lateral sclerosis (ALS). Our…

Statistical Mechanics · Physics 2025-10-08 Luis Enrique Coronas , Stepan Timr , Fabio Sterpone , Giancarlo Franzese

While advances in computation are enabling finer grid resolutions in numerical weather prediction models, representing land-atmosphere exchange processes as a lower boundary condition remains a challenge. This partially results of the fact…

Atmospheric and Oceanic Physics · Physics 2019-01-03 Fabien Margairaz , Eric Pardyjak , Marc Calaf

We present a hydro-geomechanical model for subsurface methane hydrate systems. Our model considers kinetic hydrate phase change and non-isothermal, multi-phase, multi-component flow in elastically deforming soils. The model accounts for the…

Numerical Analysis · Mathematics 2015-08-07 Shubhangi Gupta , Rainer Helmig , Barbara Wohlmuth

The interaction of supercritical turbulent flows with granular sediment beds is challenging to study both experimentally and numerically; this challenging task has hampered the advances in understanding antidunes, the most characteristic…

Water flow in plant tissues takes place in two different physical domains separated by semipermeable membranes: cell insides and cell walls. The assembly of all cell insides and cell walls are termed symplast and apoplast, respectively.…

Analysis of PDEs · Mathematics 2013-05-28 Andrés Chavarría-Krauser , Mariya Ptashnyk
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