In this paper, an exact smooth solution for the equations modeling the bedload transport of sediment in Shallow Water is presented. This solution is valid for a large family of sedimentation laws which are widely used in erosion modeling such as the Grass model or those of Meyer-Peter & Muller. One of the main interest of this solution is the...
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2012 (v1)Journal articleUploaded on: December 3, 2022
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July 2012 (v1)Journal article
Because of their capability to preserve steady-states, well-balanced schemes for Shallow Water equations are becoming popular. Among them, the hydrostatic reconstruction proposed in [1], coupled with a positive numerical flux, allows to verify important mathematical and physical properties like the positivity of the water height and, thus, to...
Uploaded on: December 3, 2022 -
January 30, 2012 (v1)Publication
In the last decades, more or less complex physically-based hydrological models, have been developed that solve the shallow water equations or their approximations using various numerical methods. Model users may not necessarily know the different hypothesis lying behind these development and simplifications, and it might therefore be difficult...
Uploaded on: December 4, 2022 -
December 7, 2017 (v1)Journal article
International audience
Uploaded on: February 28, 2023 -
August 27, 2013 (v1)Conference paper
In the last decades, more or less complex physically-based hydrological models have been developed to solve the shallow water equations or their approximations using various numerical methods. Model users may not necessarily know the different hypothesis lying behind those developments and simplifications. Therefore it might be difficult to...
Uploaded on: December 3, 2022 -
January 16, 2014 (v1)Journal article
Lavaka represent a typical erosional landform in Madagascar. The chronology of their formation remains, however, under discussion. Our research focuses on the Ankarokaroka lavaka, a spectacular landform located in NW Madagascar (Ankarafantsika natural reserve), which is characterized by the presence of sandy units of regional extension at its...
Uploaded on: October 11, 2023 -
October 2015 (v1)Journal article
In the last decades, several physically based hydrological modeling approaches of various complexities have been developed that solve shallow water equations or their approximations using various numerical methods. Users of the model may not necessarily know the different hypotheses underlying these development and simplifications, and it might...
Uploaded on: March 26, 2023 -
January 16, 2014 (v1)Journal article
Lavaka represent a typical erosional landform in Madagascar. The chronology of their formation remains, however, under discussion. Our research focuses on the Ankarokaroka lavaka, a spectacular landform located in NW Madagascar (Ankarafantsika natural reserve), which is characterized by the presence of sandy units of regional extension at its...
Uploaded on: December 2, 2022 -
January 1, 2014 (v1)Book section
Numerous codes are being developed to solve Shallow Water equations. Because they are used in hydraulics and environmental studies, their capability to simulate properly flow dynamics is essential to guarantee infrastructure and human safety. Hence, validating these codes and the associated numerical methods is an important issue. Analytic...
Uploaded on: December 4, 2022 -
December 13, 2013 (v1)Journal article
In this paper, we perform a comparison of two approaches for the parallelization of an existing, free software, FullSWOF 2D (http://www. univ-orleans.fr/mapmo/soft/FullSWOF/ that solves shallow water equations for applications in hydrology) based on a domain decomposition strategy. The first approach is based on the classical MPI library while...
Uploaded on: December 2, 2022 -
January 1, 2014 (v1)Book section
Overland flow on agricultural fields may have some undesirable effects such as soil erosion, flood and pollutant transport. To better understand this phenomenon and limit its consequences, we developed a code using state-of-the-art numerical methods: FullSWOF (Full Shallow Water equations for Overland Flow), an object oriented code written in...
Uploaded on: December 3, 2022 -
September 12, 2012 (v1)Conference paper
Numerous codes are being developed to solve Shallow Water equations. Because they are used in hydraulic and environmental studies, their capability to simulate properly flow dynamics is essential to guarantee infrastructure and human safety. Hence, validating these codes and the associated numerical methods is an important issue. Analytic...
Uploaded on: December 4, 2022 -
September 12, 2010 (v1)Conference paper
Overland flow on agricultural fields may have some undesirable effects such as soil erosion, flood and pollutant transport. To better understand this phenomenon and limit its consequences, we developed a code using state-of-the-art numerical methods: FullSWOF (Full Shallow Water equations for Overland Flow), an object oriented code written in...
Uploaded on: December 4, 2022