B. M. Pasquim¹, V. C. Mariani²

CMES-Computer Modeling in Engineering & Sciences, Vol.35, No.2, pp. 113-132, 2008, DOI:10.3970/cmes.2008.035.113

Abstract This study presents a Cartesian grid method and its application to solve a steady flow in a lid-driven triangular two-dimensional cavity. The evolution of stream function and vorticity inside a triangular lid-driven cavity, when the Reynolds number changes from 1 to 6000, is presented. For space discretization on the interior of triangular cavity orthogonal Cartesian grid is used. Then, using this grid, trapezoidal volumes appear in the interface between solid and fluid. For a suitable treatment of these volumes the Eulerian-Lagrangian methodology is used. The Navier-Stokes equations are solved numerically using finite-volume method. On the basis of the numerical studies… More >

Bruno Manoel Pasquim¹, Viviana Cocco Mariani¹

CMES-Computer Modeling in Engineering & Sciences, Vol.79, No.1, pp. 63-82, 2011, DOI:10.3970/cmes.2011.079.063

Abstract The main aim of this study was to evaluate the capacity of a Eulerian-Lagrangian methodology (ELAFINT) to accurately deal with incompressible viscous steady flow in a domain with corners and curved boundaries. Thus, a two-dimensional lid-driven cavity with an irregular bottom was selected. The equations that govern the flow are discretized using the finite-volume method with a Cartesian grid. The evolution of the velocity fields, stream function and vorticity in the irregular cavity when the Reynolds number increases from 500 to 6000 is captured by the method under investigation. The results show that with an increase in the Reynolds number… More >