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
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