Finite element method for incompressible viscous flow with immersed pressure jumps with applications to actuator disks and microfluidics

Autor(es)

Ausas, Roberto ^[1] ; Buscaglia, Gustavo ^[1] ; Ruas, Vitoriano ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP - Brazil

^[2] Sorbonne Univ, CNRS, UMR 7190, Inst Jean Le Rond dAlembert, F-75005 Paris - France

^[3] Pontificia Univ Catolica Rio de Janeiro, Dept Mech Engn, CNPq, Rio de Janeiro - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 41, n. 11 NOV 2019.
• Citações Web of Science: 0

Resumo

We propose a finite element method for the solution of viscous incompressible flow problems with singular forces at immersed interfaces. The method combines the algebraic subgrid scale method with a pressure jump stabilization. It consists of the addition, to the continuity equation, of a term weighting the residual of the pressure jump. This term enhances the stability irrespective of possible badly shaped intersections of the interface with the finite elements. We assess the new method by comparing with the unstabilized case showing improved accuracy and robustness. The examples consider immersed actuator disk problems and one application to thermocapillary convection. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 14/19249-1 - Fluidodinâmica computacional de interfaces complexas: aplicações ao estudo das emulsões e da micromecânica de membranas biológicas
• Beneficiário: Roberto Federico Ausas
• Modalidade de apoio: Auxílio à Pesquisa - Regular