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Flow, Turbulence and Combustion

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08-06-2018

Effects of Discrete Energy and Helicity Conservation in Numerical Simulations of Helical Turbulence

Authors: Francesco Capuano, Donato Vallefuoco

Published in: Flow, Turbulence and Combustion | Issue 2/2018

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Abstract

Helicity is the scalar product between velocity and vorticity and, just like energy, its integral is an inviscid invariant of the three-dimensional incompressible Navier-Stokes equations. However, space- and time-discretization methods typically corrupt this property, leading to violation of the inviscid conservation principles. This work investigates the discrete helicity conservation properties of spectral and finite-differencing methods, in relation to the form employed for the convective term. Effects due to Runge-Kutta time-advancement schemes are also taken into consideration in the analysis. The theoretical results are proved against inviscid numerical simulations, while a scale-dependent analysis of energy, helicity and their non-linear transfers is performed to further characterize the discretization errors of the different forms in forced helical turbulence simulations.

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Title: Effects of Discrete Energy and Helicity Conservation in Numerical Simulations of Helical Turbulence
Authors: Francesco Capuano
Donato Vallefuoco
Publication date: 08-06-2018
Publisher: Springer Netherlands
Published in: Flow, Turbulence and Combustion / Issue 2/2018
Print ISSN: 1386-6184
Electronic ISSN: 1573-1987
DOI: https://doi.org/10.1007/s10494-018-9939-x

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