A numerical technique of solving incompressible, vortex-dominated flows is described. The Navier-Stokes equations in velocity-vorticity formulation are integrated by a fractional step algorithm which treats convective motions and diffusive phenomena separately. Convection of vorticity is treated in a Lagrangian fashion, whereas the vorticity diffusion is computed on a grid by finite differences. The two problems are solved and combined at each time-step. The technique is as simple and robust as classical finite difference methods. Although being a bit more dissipative, it still preserves the spectral accuracy of fully Lagrangian vortex methods. The numerical procedure is validated against theoretical, experimental and numerical data from literature.

A Vortex-In-Cell Method for the Simulation of Viscous Flows / Ferlauto, Michele; Marsilio, Roberto. - In: INTERNATIONAL REVIEW ON MODELLING AND SIMULATIONS. - ISSN 1974-9821. - ELETTRONICO. - 10:5(2017), pp. 346-354. [10.15866/iremos.v10i5.11851]

A Vortex-In-Cell Method for the Simulation of Viscous Flows

FERLAUTO, Michele;MARSILIO, Roberto
2017

Abstract

A numerical technique of solving incompressible, vortex-dominated flows is described. The Navier-Stokes equations in velocity-vorticity formulation are integrated by a fractional step algorithm which treats convective motions and diffusive phenomena separately. Convection of vorticity is treated in a Lagrangian fashion, whereas the vorticity diffusion is computed on a grid by finite differences. The two problems are solved and combined at each time-step. The technique is as simple and robust as classical finite difference methods. Although being a bit more dissipative, it still preserves the spectral accuracy of fully Lagrangian vortex methods. The numerical procedure is validated against theoretical, experimental and numerical data from literature.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2685034
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