An implicit technique for solving 3D low Reynolds number moving free surface flows
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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| Data(s) |
20/10/2012
20/10/2012
2008
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| Resumo |
This paper describes the development of an implicit finite difference method for solving transient three-dimensional incompressible free surface flows. To reduce the CPU time of explicit low-Reynolds number calculations, we have combined a projection method with an implicit technique for treating the pressure on the free surface. The projection method is employed to uncouple the velocity and the pressure fields, allowing each variable to be solved separately. We employ the normal stress condition on the free surface to derive an implicit technique for calculating the pressure at the free surface. Numerical results demonstrate that this modification is essential for the construction of methods that are more stable than those provided by discretizing the free surface explicitly. In addition, we show that the proposed method can be applied to viscoelastic fluids. Numerical results include the simulation of jet buckling and extrudate swell for Reynolds numbers in the range [0.01, 0.5]. (C) 2008 Elsevier Inc. All rights reserved. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP (Fundaqdo de Amparo a pesquisa do Estado de Sao Paulo)[03/12612 - 9] FAPESP (Fundaqdo de Amparo a pesquisa do Estado de Sao Paulo)[04/16064 - 9] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq (Conselho Nacional de Desen-volvimento Cientifico e Tecnologico)[300106/2005-0] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq (Conselho Nacional de Desen-volvimento Cientifico e Tecnologico)[474040/2003 - 8] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq (Conselho Nacional de Desen-volvimento Cientifico e Tecnologico)[523141/94] Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) CAPES (Coordenacao de Aperfeicoa-mento de Pessoal de Nivel Superior)[136/05-CAPES/GRICES] CAPES (Coordenacao de Aperfeicoa-mento de Pessoal de Nivel Superior)[0121/07 - 0] Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) |
| Identificador |
JOURNAL OF COMPUTATIONAL PHYSICS, v.227, n.16, p.7446-7468, 2008 0021-9991 http://producao.usp.br/handle/BDPI/28969 10.1016/j.jcp.2008.04.017 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Journal of Computational Physics |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #implicit techniques #three-dimensional free surface flows #viscoelastic fluids #finite differences #jet buckling #extrudate swell #NAVIER-STOKES EQUATIONS #FINITE-DIFFERENCE SIMULATION #TRANSIENT CREEP FLOWS #INCOMPRESSIBLE FLOWS #PROJECTION METHODS #NUMERICAL-METHOD #CAPTURING METHOD #FLUID #JETS #SCHEMES #Computer Science, Interdisciplinary Applications #Physics, Mathematical |
| Tipo |
article original article publishedVersion |
