High-order ALE schemes for incompressible capillary flows

Autor(es)

Montefuscolo, Felipe ^[1] ; Sousa, Fabricio S. ^[1] ; Buscaglia, Gustavo C. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, Dept Matemat Aplicada & Estat, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Computational Physics; v. 278, p. 133-147, DEC 1 2014.
• Citações Web of Science: 6

Resumo

The spatial discretization of problems with moving boundaries is considered, incorporating the temporal evolution of not just the mechanical variables, but also of the nodal positions of the moving mesh. The outcome is a system of Differential-Algebraic Equations (DAE) of index 2 or, in the case of inertialess flow, just 1. From the DAE formulation it its possible to define strategies to build schemes of arbitrary accuracy. We introduce here several schemes of order 2 and 3 that avoid the solution of a nonlinear system involving simultaneously the mechanical variables and the geometrical ones. This class of schemes has been the one adopted by the majority of practitioners of Computational Fluid Dynamics up to now. The proposed schemes indeed achieve the design accuracy, and further show stability restrictions that are not significantly more severe than those of popular first order schemes. The numerical experimentation is performed on capillary problems, discretized by both div-stable (P-2/P-1, P-1(+)/P-1) and equal-order (P-1/P-1, stabilized) finite elements, and incorporating surface tension and triple (contact) line effects. (C) 2014 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 11/00538-5 - Microfluídica computacional: uma abordagem lagrangeana-euleriana arbitrária
• Beneficiário: Fabrício Simeoni de Sousa
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 12/04560-8 - Análise numérica de escoamentos com fenômenos complexos de superfície
• Beneficiário: Felipe Montefuscolo
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 12/14481-8 - Aproximação numérica de interfaces microfluídicas com acoplamento mecânico-bioquímico
• Beneficiário: Gustavo Carlos Buscaglia
• Modalidade de apoio: Auxílio à Pesquisa - Regular