Finite-element simulation of the shallow-water equations model on a limited-area domain

@inproceedings{Navon2006FiniteelementSO,
title={Finite-element simulation of the shallow-water equations model on a limited-area domain},
author={Ionel Michael Navon},
year={2006}
}

A Galerkin finite-element model of the shallow-water equations on a limited domain is presented. The evolutionary equations of continuity and momentum are coupled at each time step using an extrapolated Crank-Nicolson method to quasilinearize the nonlinear advective terms. The coupling allows time steps to be used larger than those possible with an uncoupled model. A linear one-dimensional stability analysis of the finite-element model is presented. Three mass matrix schemes, the consistent… CONTINUE READING