A Saint-Venant Model for Overland Flows with Precipitation and Recharge
Artikel i vetenskaplig tidskrift, 2021

We 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.

rainfall

shallow water

simulation

water

Saint-Venant

precipitation

friction

recharge

Författare

Mehmet Ersoy

Université de Toulon

Omar Lakkis

University of Sussex

Philip Townsend

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Mathematical and Computational Applications

1300-686X (ISSN) 2297-8747 (eISSN)

Vol. 26 1 1

Ämneskategorier

Beräkningsmatematik

Vattenteknik

Sannolikhetsteori och statistik

DOI

10.3390/mca26010001

Mer information

Senast uppdaterat

2021-05-11