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of 82
pro vyhledávání: '"Ion Stelian"'
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 investigate the wa
Externí odkaz:
http://arxiv.org/abs/2408.12465
The paper presents ASTERIX, an open source software for numerical integration of an extended Saint-Venant system of equations used as a mathematical tool to model the water flow from laboratory up to large-scale spatial domains applying physically-ba
Externí odkaz:
http://arxiv.org/abs/2406.14933
The most used form of the Shallow Water Equations doesn't take into account the variation of the curvature of the base flow surface. In this paper, we compare the theoretical and numerical solutions of the standard model and with the solutions of an
Externí odkaz:
http://arxiv.org/abs/2302.06438
In this paper, we present a deduction of swallow water equations in the presence of vegetation based on spatial averaging techniques starting from the general principles of conservation of mass and momentum. For this purpose, we worked in the hydrost
Externí odkaz:
http://arxiv.org/abs/2006.14367
Akademický článek
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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 principles of f
Externí odkaz:
http://arxiv.org/abs/1908.00339
Publikováno v:
An. St. Univ. Ovidius Constanta, 28 (2), 2020, 93-114
We investigate the Riemann Problem for a shallow water model with porosity and terrain data. Based on recent results on the local existence, we build the solution in the large settings (the magnitude of the jump in the initial data is not supposed to
Externí odkaz:
http://arxiv.org/abs/1907.01282
Numerical scheme for solving a porous Saint-Venant type model for water flow on vegetated hillslopes
Publikováno v:
In Applied Numerical Mathematics February 2022 172:67-98
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 principles of f
Externí odkaz:
http://arxiv.org/abs/1512.00706
Publikováno v:
Environmental Modelling & Software 62 (2014) 240-252
The presented work is part of a larger research program dealing with developing tools for coupling biogeochemical models in contaminated landscapes. The specific objective of this article is to provide the researchers a tool to build hexagonal raster
Externí odkaz:
http://arxiv.org/abs/1407.2925