TITLE

Integrated computation of finite-time Lyapunov exponent fields during direct numerical simulation of unsteady flows

AUTHOR(S)
Finn, Justin; Apte, Sourabh V.
PUB. DATE
March 2013
SOURCE
Chaos;Mar2013, Vol. 23 Issue 1, p013145
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The computation of Lagrangian coherent structures typically involves post-processing of experimentally or numerically obtained fluid velocity fields to obtain the largest finite-time Lyapunov exponent (FTLE) field. However, this procedure can be tedious for large-scale complex flows of general interest. In this work, an alternative approach involving computation of the FTLE on-the-fly during direct numerical simulation of the full three dimensional Navier-Stokes equations is developed. The implementation relies on Lagrangian particle tracking to compose forward time flow maps, and an Eulerian treatment of the backward time flow map [S. Leung, J. Comput. Phys. 230, 3500-3524 (2011)] coupled with a semi-Lagrangian advection scheme. The flow maps are accurately constructed from a sequence of smaller sub-steps stored on disk [S. Brunton and C. Rowley, Chaos 20, 017503 (2010)], resulting in low CPU and memory requirements to compute evolving FTLE fields. Several examples are presented to demonstrate the capability and parallel scalability of the approach for a variety of two and three dimensional flows.
ACCESSION #
86446955

 

Related Articles

  • CFD simulation of particle deposition in a horizontal turbulent duct flow. Jinping Zhang; Angui Li // Chemical Engineering Research & Design: Transactions of the Inst;Jan2008, Vol. 86 Issue 1, p95 

    Deposition of particles in turbulent duct flows is crucial process in a number of industrial and environmental applications. Therefore, in this paper, particle deposition in a horizontal turbulent duct flow is simulated by CFD (computational fluid dynamics) modeling. Dimensionless deposition...

  • Cascade model of turbulence. Qian, J. // Physics of Fluids (00319171);Oct88, Vol. 31 Issue 10, p2865 

    A simple low-order dynamic system is proposed to simulate the energy cascade process of a fully developed hydrodynamic turbulence, and a series of numerical experiments is conducted. The main structural properties of this dynamic system are the same as those of the normalized Navier-Stokes...

  • ON FULLY DISCRETE FINITE ELEMENT SCHEMES FOR EQUATIONS OF MOTION OF KELVIN-VOIGT FLUIDS. BAJPAI, SAUMYA; NATARAJ, NEELA; PANI, AMIYA K. // International Journal of Numerical Analysis & Modeling;2013, Vol. 10 Issue 2, p481 

    In this paper, we study two fully discrete schemes for the equations of motion arising in the Kelvin-Voigt model of viscoelastic fluids. Based on a backward Euler method in time and a finite element method in spatial direction, optimal error estimates which exhibit the exponential decay property...

  • Structure of Shocks in Burgers Turbulence with Lévy Noise Initial Data. Abramson, Joshua // Journal of Statistical Physics;Aug2013, Vol. 152 Issue 3, p541 

    We study the structure of the shocks for the inviscid Burgers equation in dimension 1 when the initial velocity is given by Lévy noise, or equivalently when the initial potential is a two-sided Lévy process ψ. When ψ is abrupt in the sense of Vigon or has bounded variation with lim...

  • REGULARITY CRITERIA FOR THE 3D MHD EQUATIONS VIA PARTIAL DERIVATIVES. II. XUANJI JIA; YONG ZHOU // Kinetic & Related Models;Jun2014, Vol. 7 Issue 2, p291 

    In this paper we continue studying regularity criteria for the 3D MHD equations via partial derivatives of the velocity or the pressure. We obtain some new regularity criteria which improve the related results in [1, 3, 9, 11, 17]. Precisely, we first prove that if for any i, j, k ∈ {1,2,3}...

  • Analysis of an Incompressible Navier-Stokes-Maxwell-Stefan System. Chen, Xiuqing; Jüngel, Ansgar // Communications in Mathematical Physics;Dec2015, Vol. 340 Issue 2, p471 

    The Maxwell-Stefan equations for the molar fluxes, supplemented by the incompressible Navier-Stokes equations governing the fluid velocity dynamics, are analyzed in bounded domains with no-flux boundary conditions. The system models the dynamics of a multicomponent gaseous mixture under...

  • Effects of Lewis number on conditional fluid velocity statistics in low Damköhler number turbulent premixed combustion: A direct numerical simulation analysis. Chakraborty, Nilanjan; Lipatnikov, Andrei N. // Physics of Fluids;Apr2013, Vol. 25 Issue 4, p045101 

    The effects of global Lewis number Le on the statistics of fluid velocity components conditional in unburned reactants and fully burned products in the context of Reynolds Averaged Navier Stokes simulations have been analysed using a Direct Numerical Simulations (DNS) database of statistically...

  • Stretching of polymers around the Kolmogorov scale in a turbulent shear flow. Davoudi, Jahanshah; Schumacher, Jörg // Physics of Fluids;Feb2006, Vol. 18 Issue 2, p025103 

    We present numerical studies of stretching of Hookean dumbbells in a turbulent Navier-Stokes flow with a linear mean profile, 〈ux〉=Sy. In addition to the turbulence features beyond the viscous Kolmogorov scale η, the dynamics at the equilibrium extension of the dumbbells...

  • Disturbance growth rate in turbulent wall flows. Nikitin, N. // Fluid Dynamics;Oct2009, Vol. 44 Issue 5, p652 

    Disturbance development in turbulent wall flows is numerically investigated. The flows in a circular tube and in a plane channel are considered. The Navier-Stokes equations subjected to the condition of periodicity along the main flow are integrated in time until a statistically stationary...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics