2003
DOI: 10.1590/s1678-58782003000200005
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Vortex method with turbulence sub-grid scale modelling

Abstract: In this paper a method for the simulation of convection and diffusion of the vorticity, generated on a body surface is presented. A purely Lagrangian scheme is used for the vorticity convection, and thereby avoiding mesh associated problems. The body surface is simulated by straight-line panels, with constant-strength vortex distribution. The strength of the discrete vortices is obtained directly without going through any additional calculation. Using a primary diffusion process this vorticity is replaced by L… Show more

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Cited by 10 publications
(22 citation statements)
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“…Therefore, Lagrangian vortex method proceeds by discretizing spatially the vorticity field using Lamb-Oseen vortex elements [25,27], which are characterized by a distribution of vorticity 0 (commonly called the cutoff function), a circulation strength Γ, a core size 0 , and a spatial position x. The method amounts to tracking these vortex elements and their circulations, which in incompressible viscous flows is governed by the vorticity transport equation [3].…”
Section: Methodsmentioning
confidence: 99%
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“…Therefore, Lagrangian vortex method proceeds by discretizing spatially the vorticity field using Lamb-Oseen vortex elements [25,27], which are characterized by a distribution of vorticity 0 (commonly called the cutoff function), a circulation strength Γ, a core size 0 , and a spatial position x. The method amounts to tracking these vortex elements and their circulations, which in incompressible viscous flows is governed by the vorticity transport equation [3].…”
Section: Methodsmentioning
confidence: 99%
“…The vorticity transport equation is split into two steps: one without viscosity and one with diffusion solution. Alcântara Pereira et al [3] adapted the solution of these two steps to include LES modeling such as, respectively: where is defined as the eddy viscosity coefficient and ̄ = ∇ ×ū represents the vorticity filtered field, which in two dimensions is scalar and becomes the principal variable for computations.…”
Section: Methodsmentioning
confidence: 99%
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