Year: 2011
Type: article
Abstract: This thesis tests accelerating convergence to steady state and statistical equilibrium forthe Navier-Stokes Voight (NSV) Model motivated by the Spin-Up phase of Ocean ClimateModels. First, by adding a new parameter to Navier-Stokes equations, the NSV model isdetermined. Test conditions are identi�ed for spin up, attaining equilibrium, and statisticalequilibrium. Convergence is then analyzed and the Finite Element Method with BackwardEuler discretization is programmed using Free FEM++ to simulate the NSV model. Twoproblems with a known exact solution are used for a square domain. One problem withunknown solution and one problem with known exact solution in circle domain are alsotested for convergence of the method. We �nd that the adding parameter may not accelerateconvergence to equilibrium or statistical equilibrium.
Author: Ali Koseoglu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W41260474