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...
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July 2012 (v1)Journal articleUploaded on: December 3, 2022
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January 16, 2014 (v1)Report
Numerical simulations of flows are required for numerous applications, and are usually carried out using shallow water equations. We describe the FullSWOF software which is based on up-to-date finite volume methods and well-balanced schemes to solve this kind of equations. It consists of a set of open source C++ codes, freely available to the...
Uploaded on: March 26, 2023 -
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 -
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 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 -
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 -
May 30, 2013 (v1)Journal article
Numerous codes are being developed to solve Shallow Water equations. Because there are used in hydraulic and environmental studies, their capability to simulate properly flow dynamics is critical to guarantee infrastructure and human safety. While validating these codes is an important issue, code validations are currently restricted because...
Uploaded on: February 28, 2023