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Flow, Turbulence and Combustion
Erschienen in: Flow, Turbulence and Combustion 2/2018

08.06.2018

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

verfasst von: Francesco Capuano, Donato Vallefuoco

Erschienen in: Flow, Turbulence and Combustion | Ausgabe 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.
Vorheriger Artikel Validation of Lagrangian Two-Way Coupled Point-Particle Models in Large-Eddy Simulations
Nächster Artikel Lossy Data Compression Effects on Wall-bounded Turbulence: Bounds on Data Reduction

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Metadaten
Titel
Effects of Discrete Energy and Helicity Conservation in Numerical Simulations of Helical Turbulence
verfasst von
Francesco Capuano
Donato Vallefuoco
Publikationsdatum
08.06.2018
Verlag
Springer Netherlands
Erschienen in
Flow, Turbulence and Combustion / Ausgabe 2/2018
Print ISSN: 1386-6184
Elektronische ISSN: 1573-1987
DOI
https://doi.org/10.1007/s10494-018-9939-x

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