TY - JOUR
T1 - Finite Volume Approximation of  the Linearized Shallow Water Equations in Hyperbolic Mode
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 816
EP - 840
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/553.html
KW - shallow water equations, finite volume method, stability and convergence.
AB - <p style="text-align: justify;">In this article, we consider the linearized inviscid shallow water equations in space dimension two in a rectangular domain. We implement a finite volume discretization and prove the
numerical stability and convergence of the scheme for three cases that depend on the background
flow $\tilde{u}_0$, $\tilde{v}_0$, and $\tilde{\phi}_0$ (sub- or super-critical flow at each part of the boundary). The three cases
that we consider are fully hyperbolic modes.</p>