2012
DOI: 10.1504/ijesms.2012.044847
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Direct numerical simulation of helical vortices

Abstract: We herein present a direct numerical simulation method aimed at describing the dynamics of helical vortices such as those developing in the wake of propellers and wind turbine or helicopter rotors. By enforcing a helical symmetry, the 3D incompressible Navier-Stokes equations are reduced to a 2D problem which we solve using a generalised vorticity/streamfunction formulation. In this framework, we simulate the viscous dynamics of one or several helical vortices and describe quasi-steady states as well as long-t… Show more

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Cited by 3 publications
(2 citation statements)
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“…[34,35]), with the aim of seeking the formation of finite-time singularities. One can also mention the direct numerical simulation [41] of the Navier-Stokes equations with helical symmetry, which includes in principle the axial symmetry in the limit of vanishing helix pitch, but such a limiting case was not treated in this work.…”
mentioning
confidence: 99%
“…[34,35]), with the aim of seeking the formation of finite-time singularities. One can also mention the direct numerical simulation [41] of the Navier-Stokes equations with helical symmetry, which includes in principle the axial symmetry in the limit of vanishing helix pitch, but such a limiting case was not treated in this work.…”
mentioning
confidence: 99%
“…With this assumption, previous works have studied the time evolution of viscous helical vortices. [DELBENDE(2012)] simulated the viscous dynamics of several helical vortices and presented quasi-steady states using a DNS method. [SELC ¸UK et al(2017)SELC ¸UK, DELBENDE & ROSSI] described characterizes of helical quasi-equilibrium states as a function of helix radius, angular velocity, stream function, and core properties.…”
Section: List Of Figuresmentioning
confidence: 99%