Abstract : In this article we consider a system of equations related to the delta–Primitive Equations of the ocean and the atmosphere, linearized around a stratified flow, and we supplement the equations with transparent boundary conditions. We study the stability of different numerical schemes and we show that for each case, letting the vertical viscosity delta go to 0, the stability conditions are the same as the classical CFL conditions for the transport equation.
https://hal.inria.fr/inria-00172506
Contributor : Antoine Rousseau
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Submitted on : Monday, September 17, 2007 - 2:02:04 PM
Last modification on : Tuesday, July 3, 2018 - 1:50:04 PM
Long-term archiving on : Friday, April 9, 2010 - 2:17:45 AM
Madalina Petcu, Antoine Rousseau. Numerical Time Schemes for an Ocean Related System of PDEs. Numerical Methods for Partial Differential Equations, Wiley, 2006, 22 (1), pp.32--47. ⟨inria-00172506⟩
