|
|||||
|
|
How to save a bad element with weak boundary conditions |
|
| Authors: | Emmanuel Hanert Vincent Legat |
| Affiliation: | a Department of Meteorology, The University of Reading, Earley Gate, P.O. Box 243, Reading RG6 6BB, UK b Centre for Systems Engineering and Applied Mechanics, Université Catholique de Louvain, 4 Avenue Georges Lemaître, B-1348 Louvain-la-Neuve, Belgium |
| Abstract: | The P1-P1 finite element pair is known to allow the existence of spurious pressure (surface elevation) modes for the shallow water equations and to be unstable for mixed formulations. We show that this behavior is strongly influenced by the strong or the weak enforcement of the impermeability boundary conditions. A numerical analysis of the Stommel model is performed for both P1-P1 and  -P1 mixed formulations. Steady and transient test cases are considered. We observe that the P1-P1 element exhibits stable discrete solutions with weak boundary conditions or with fully unstructured meshes. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |