<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present research, simulations have been conducted to determine numerically the dynamic behaviour of the flow of underground water fed by a river. The basic equations governing the problem studied are those of Navier–Stokes equations of conservation of momentum (flows between pores), coupled by the Darcy–Forchheimer equations (flows within these pores). To understand the phenomena involved, we first study the impact of flow rate on the pressure and the filtration velocity in the underground medium, the second part is devoted to the calculation of the elevation effect of the river water on the flow behaviour in the saturated and unsaturated zone of the aquifer.</p></abstract>

In the present research, simulations have been conducted to determine numerically the dynamic behaviour of the flow of underground water fed by a river. The basic equations governing the problem studied are those of Navier–Stokes equations of conservation of momentum (flows between pores), coupled by the Darcy–Forchheimer equations (flows within these pores). To understand the phenomena involved, we first study the impact of flow rate on the pressure and the filtration velocity in the underground medium, the second part is devoted to the calculation of the elevation effect of the river water on the flow behaviour in the saturated and unsaturated zone of the aquifer.

Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations

Laboratory of Energetic in the Arid Areas ENERGARID

Latvian Journal of Physics and Technical Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In the present research, simulations have been conducted to determine numerically the dynamic behaviour of the flow of underground water fed by a river. The...

Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations

Published Online: Jan 24, 2018

Page range: 54 - 64

DOI: https://doi.org/10.1515/lpts-2017-0041

Keywords
Darcy–Forchheimer equations, groundwater flow, hydrodynamic modelling, porous medium

© 2017 K. Hami et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations

Published Online: Jan 24, 2018

Page range: 54 - 64

DOI: https://doi.org/10.1515/lpts-2017-0041

KeywordsDarcy–Forchheimer equations, groundwater flow, hydrodynamic modelling, porous medium

© 2017 K. Hami et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Darcy–Forchheimer equations, groundwater flow, hydrodynamic modelling, porous medium