mca-26-00001-v2.pdf (1.51 MB)
A Saint-Venant model for overland flows with precipitation and recharge
Version 2 2023-06-12, 09:39
Version 1 2023-06-09, 22:36
journal contribution
posted on 2023-06-12, 09:39 authored by Mehmet Ersoy, Omar LakkisOmar Lakkis, Philip TownsendWe propose a one-dimensional Saint-Venant (open-channel) model for overland flows, including a water input–output source term modeling recharge via rainfall and infiltration (or exfiltration). We derive the model via asymptotic reduction from the two-dimensional Navier–Stokes equations under the shallow water assumption, with boundary conditions including recharge via ground infiltration and runoff. This new model recovers existing models as special cases, and adds more scope by adding water-mixing friction terms that depend on the rate of water recharge. We propose a novel entropy function and its flux, which are useful in validating the model’s conservation or dissipation properties. Based on this entropy function, we propose a finite volume scheme extending a class of kinetic schemes and provide numerical comparisons with respect to the newly introduced mixing friction coefficient. We also provide a comparison with experimental data.
Funding
ModCompShock - Modelling and Computation for Shocks and Interfaces; G1718; EUROPEAN UNION; 642768
History
Publication status
- Published
File Version
- Published version
Journal
Mathematical and Computational ApplicationsISSN
1300-686XPublisher
MDPIExternal DOI
Issue
1Volume
26Page range
1-27Pages
27.0Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2021-01-04First Open Access (FOA) Date
2021-01-04First Compliant Deposit (FCD) Date
2020-12-29Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC