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BIBTEX RIS

A numerical model based on the curvilinear coordinate system for the MAC method simplified

2018; UNIVERSIDADE ESTADUAL DE LONDRINA; Volume: 39; Issue: 2 Linguagem: Inglês

10.5433/1679-0375.2018v39n2p87

ISSN

1679-0375

Autores

Eliandro Rodrigues Cirilo, Alessandra Negrini Dalla Barba, Paulo Laerte Natti, Neyva Maria Lopes Romeiro,

Tópico(s)

Computational Fluid Dynamics and Aerodynamics

Resumo

In this paper we developed a numerical methodology to study some incompressible fluid flows without free surface, using the curvilinear coordinate system and whose edge geometry is constructed via parametrized spline. First, we discussed the representation of the Navier-Stokes and continuity equations on the curvilinear coordinate system, along with the auxiliary conditions. Then, we presented the numerical method – a simplified version of MAC (Marker and Cell) method – along with the discretization of the governing equations, which is carried out using the finite differences method and the implementation of the FOU (First Order Upwind) scheme. Finally, we applied the numerical methodology to the parallel plates problem, lid-driven cavity problem and atherosclerosis problem, and then we compare the results obtained with those presented in the literature.

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