Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

 

Zapisane w:
Opis bibliograficzny
Autorzy: Anaya Domínguez, Verónica, Gómez Vargas, Bryan Andrés, Mora Herrera, David, Ruiz Baier, Ricardo
Format: artículo original
Data wydania:2019
Opis:In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity, and pressure with non-constant viscosity. The analysis is performed by the classical Babuška–Brezzi theory, and we state that any inf–sup stable finite element pair for Stokes approximating velocity and pressure can be coupled with a generic discrete space of arbitrary order for the vorticity. We establish optimal a priori error estimates, which are further confirmed through computational examples.
Kraj:Kérwá
Instytucja:Universidad de Costa Rica
Repositorio:Kérwá
Język:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/86463
Dostęp online:https://hdl.handle.net/10669/86463
Słowo kluczowe:Brinkman Equations