کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423257 | 1342045 | 2012 | 18 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Numerical solution of the Primitive Equations of the ocean by the Orthogonal Sub-Scales VMS method Numerical solution of the Primitive Equations of the ocean by the Orthogonal Sub-Scales VMS method](/preview/png/6423257.png)
This paper deals with the development of efficient numerical solvers for the Primitive Equations of the ocean. We consider weak solutions of a reduced model that includes the horizontal velocity and the surface pressure. We derive the numerical approximation of this model by the Orthogonal Sub-Scales (OSS) method via finite elements discretization. We perform the numerical analysis of this discretization (stability, convergence, error estimates) for a linearized model, obtaining optimal error estimates for 2D flows. This analysis is based upon a specific inf-sup condition for the OSS discretization. We also perform some numerical tests for the non-linear Primitive Equations, that confirm the theoretical convergence order expectations, and show an improved convergence with respect to standard mixed methods.
Journal: Applied Numerical Mathematics - Volume 62, Issue 4, April 2012, Pages 342-359