Finite element analysis of a coupled thermally dependent viscosity flow problem

AUTOR(ES)

Zhu, Jiang, Loula, Abimael F.D., Karam F., José, Guerreiro, João N.C.

FONTE

Computational & Applied Mathematics

DATA DE PUBLICAÇÃO

2007

RESUMO

In this work, a stationary Stokes flow with thermal effects is studied both mathematically and numerically. First, existence, uniqueness and regularity of the weak solution of the problem are established. Next, finite element approximation to the problem, based on a fixed point algorithm, is proposed. Then, an error estimate between continuous solution and discrete one is obtained. Finally, some numerical tests are presented to confirm the theoretical results.

Documentos Relacionados

• Effects of temperature-dependent viscosity on fluid flow and heat transfer in a helical rectangular duct with a finite pitch
• Finite Element Analysis of Hepatic Radiofrequency Ablation Probes using Temperature-Dependent Electrical Conductivity
• Aspects of finite element and finite volume equivalence and a posteriori error estimation in polymer melt flow
• Preconditioners for higher order finite element discretizations of H(div)-elliptic problem
• Analysis of automotive liftgate seals using finite element analysis