NUMERICAL TESTS OF VANISHING DIFFUSION STABILIZATION IN OLDROYD-B FLUID FLOW SIMULATIONS

This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluids flows, using different types of numerical stabilization. In this study the diffusive term (Laplacian of extra stress) is added to the tensorial constitutive relation where it is multiplied by a coef...

ver descrição completa

Detalhes bibliográficos
Autor principal: Pires, Marília (author)
Outros Autores: Bodnar, Tomas (author)
Formato: article
Idioma:eng
Publicado em: 2021
Assuntos:
Texto completo:http://hdl.handle.net/10174/30420
País:Portugal
Oai:oai:dspace.uevora.pt:10174/30420
Descrição
Resumo:This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluids flows, using different types of numerical stabilization. In this study the diffusive term (Laplacian of extra stress) is added to the tensorial constitutive relation where it is multiplied by a coefficient, that is variable in time. The goal is to make this diffusion coefficient vanish in time, so that the final solution remains unaffected by the added diffusion term. A series of numerical tests was performed for the steady two-dimensional Oldroyd-B fluid flow in corrugated channel (tube) to compare different versions of the vanishing stabilization terms and assess their efficiency in enforcing the solution convergence, without affecting the final steady state.