NCTS(South)/ NCKU Math Colloquium | |
| DATE | 2010-12-23¡@15:10-16:00 |
| PLACE | R204, 2F, NCTS, NCKU |
| SPEAKER | MING-CHENG SHIUE Á§¦W¦¨ ³Õ¤h ¡]Indiana University Bloomington¡^ |
| TITLE | ANALYSIS AND COMPUTATION OF THE 3D INVISCID PRIMITIVE EQUATIONS IN A LIMITED DOMAIN |
| ABSTRACT |
In this talk, the 3D inviscid Primitive Equations related to weather prediction and oceanography are considered.Considering an expansion of the inviscid Primitive Equations in the vertical direction, we derive an in nite set of equations which have been studied in di erent contexts by Qingshan Chen, A. Rousseau, R. Temam and J. Tribbia. In this work, a new set of nonlocal boundary conditions have been implemented.Our goals are twofold; on the one hand, we want to numerically con rm that the proposed boundary conditions, proven suitable for the linearized equations, are also suitable for the nonlinear equations. On the other hand, we want to numerically verify the transparency property of the proposed boundary conditions. After introducing the necessary concepts, we will discuss the well-posedness of the equations for the zero mode (barotropic mode) which is not classic. Then, we will describe the applied numerical schemes and show results of numerical simulations performed in a nested environment. |