Applicability of Dynamic, Local, and Diffusive Wave Models for Unified Depth-Averaged Fluid Flow Interaction with Porous Media
Publication: Journal of Hydrologic Engineering
Volume 28, Issue 10
Abstract
A comparative study concerning dynamic, local, and zero inertia variants of volume-averaged depth-integrated porous shallow water equations has been presented. The first two hyperbolic models are resolved through an explicit augmented approximate Riemann solver, and the diffusive parabolic model employs an implicit formulation. Three benchmark tests are simulated and compared through all three counterparts. The diffusive wave model offers a wide range of time-step choices and, subsequently, lesser computational cost when the temporal variation of flow depth/velocity is relatively small. However, explicit hyperbolic models outperform in the case of rapidly varied flow interaction with granular media.
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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 the Department of Science and Technology, Government of India with Grant No. DST/INSPIRE/04/2017/001936. The authors also like to thank Naveed Ul Hassan Bhat for the insightful discussion during the inception of this work.
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Journal of Hydrologic Engineering
Volume 28 • Issue 10 • October 2023
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© 2023 American Society of Civil Engineers.
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Received: Aug 1, 2022
Accepted: Apr 18, 2023
Published online: Jul 18, 2023
Published in print: Oct 1, 2023
Discussion open until: Dec 18, 2023
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