A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean

We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to a weak solution. We also perform some numerical test for relevant flows.

Detalhes bibliográficos
Autores: Chacón Rebollo, Tomás, Gómez Mármol, María Macarena, Sánchez Muñoz, Isabel María
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2013
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42069
Acesso em linha:http://hdl.handle.net/11441/42069
https://doi.org/10.1016/j.aml.2012.10.015
Access Level:Acceso aberto
Palavra-chave:primitive equations
finite elements
stabilized methods
inf-sup condition
Descrição
Resumo:We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to a weak solution. We also perform some numerical test for relevant flows.