Diffusion Wave Approximation of Depth-Averaged Flow Interaction with Porous Media
Publication: Journal of Hydrologic Engineering
Volume 26, Issue 2
Abstract
A two-dimensional diffusive wave framework is proposed for modeling interaction between flow through and outside porous media. The depth-integrated parabolic model was developed with an assumption of zero temporal/convective accelerations, making it appropriate for field-scale simulations. The effects of bed shear arising from the bathymetry, roughness, and properties of granular media are consolidated into a single hydraulic diffusivity coefficient. The equation is resolved in a structured finite-volume grid with implicit time stepping. The proposed framework was validated with a standard analytical solution and small-scale experimental results. A synthetic test case containing irregular ground surface demonstrated the capability of the proposed model for real-time simulation.
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Data Availability Statement
The numerical data presented in this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is supported by Department of Science and Technology, Government of India with Grant No. DST/INSPIRE/04/2017/001936.
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Published In
Journal of Hydrologic Engineering
Volume 26 • Issue 2 • February 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Feb 3, 2020
Accepted: Aug 20, 2020
Published online: Dec 2, 2020
Published in print: Feb 1, 2021
Discussion open until: May 2, 2021
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