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PURE LAGRANGIAN VORTEX METHODS FOR THE SIMULATION OF DECAYING ISOTROPIC TURBULENCE

Rio Yokota
Department of Mechanical Engineering, Keio University 3-14-1 Hiyoshi, Yokohama, Japan

Shinnosuke Obi
Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan

Abstract

The assessment of the vortex method for its application to turbulent flow simulation is performed through computation of homogeneous isotropic turbulence. In particular, the energy transfer across various scales of turbulence and the representation of the viscous dissipation are examined. The core spreading method and particle strength exchange were selected as the viscous diffusion scheme to be tested. The computations were accelerated by the use of a fast multipole method modified for periodic boundary conditions. Results show that both diffusion schemes are able to reproduce essential dynamics of turbulence including the decay of kinetic energy, though the spatial adaption is necessary even if the number of vortex elements is sufficiently large.