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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Ausas, Roberto [1] ; Buscaglia, Gustavo [1] ; Ruas, Vitoriano [2, 3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 41, n. 11 NOV 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:José Alberto Cuminato
Support type: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 14/19249-1 - Computational fluid dynamics of Complex Interfaces: applications to the study of emulsions and the Micromechanics of biological membranes
Grantee:Roberto Federico Ausas
Support type: Regular Research Grants