TY - JOUR
T1 - Shallow Water Moment Models for Bedload Transport Problems
AU - Garres-Díaz , José
AU - J. Castro Díaz , Manuel
AU - Koellermeier , Julian
AU - Morales de Luna , Tomás
JO - Communications in Computational Physics
VL - 3
SP - 903
EP - 941
PY - 2021
DA - 2021/07
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2020-0152
UR - https://global-sci.org/intro/article_detail/cicp/19316.html
KW - Shallow Water Exner model, moment approach, hyperbolic system, finite volume
method, sediment transport.
AB - <p style="text-align: justify;">In this work a simple but accurate shallow model for bedload sediment
transport is proposed. The model is based on applying the moment approach to the
Shallow Water Exner model, making it possible to recover the vertical structure of the
flow. This approach allows us to obtain a better approximation of the fluid velocity
close to the bottom, which is the relevant velocity for the sediment transport. A general Shallow Water Exner moment model allowing for polynomial velocity profiles of
arbitrary order is obtained. A regularization ensures hyperbolicity and easy computation of the eigenvalues. The system is solved by means of an adapted IFCP scheme
proposed here. The improvement of this IFCP type scheme is based on the approximation of the eigenvalue associated to the sediment transport. Numerical tests are
presented which deal with large and short time scales. The proposed model allows to
obtain the vertical structure of the fluid, which results in a better description on the
bedload transport of the sediment layer.</p>