Going to new lengths: studying the Navier-Stokes-\(\alpha\beta\) equations using the strained spiral vortex model

DOI10.3934/dcdsb.2014.19.2207zbMath1302.76072OpenAlexW2325230274MaRDI QIDQ478704

Tae-Yeon Kim, Xuemei Chen, John E. Dolbow, Eliot Fried

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.2207

zbMATH Keywords

direct numerical simulationenergy spectrumdimensional reductionturbulencelength-scale effects

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Isotropic turbulence; homogeneous turbulence (76F05) Fundamentals of turbulence (76F02)

Cites Work

• A numerical study of the Navier-Stokes-\(\alpha \beta \) model
• Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
• The Camassa-Holm equations and turbulence
• Direct numerical simulations of the Navier-Stokes alpha model
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Strained spiral vortex model for turbulent fine structure
• A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
• On the Lundgren–Townsend model of turbulent fine scales
• A small-scale turbulence model
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• On the spectrum of a stretched spiral vortex
• The Navier-Stokes-alpha model of fluid turbulence
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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