One-dimensional turbulence (ODT): Computationally efficient modeling and simulation of turbulent flows

Abstract One-dimensional turbulence (ODT) is an accurate and computationally efficient model for simulating turbulent flows. ODT has been applied to a wide range of flow problems including reaction, multiphase, differential diffusion, heat release, buoyancy, and wall flows. Applications include use as a standalone model and as a closure for large-eddy simulation (LES). Its strength lies in the ability to capture a full range of turbulent length and time scales. The ODT model is strongly coupled with its implementation, complicating its formulations. We present a modern, open-source, object-oriented C++ implementation of ODT. The code described here and made available online can be used as a starting point to understand, apply, and extend the ODT model, enabling its further application to turbulent flow research.

[1]  A. D. Lewis,et al.  Comparison of one-dimensional turbulence and direct numerical simulations of soot formation and transport in a nonpremixed ethylene jet flame , 2015 .

[2]  Prediction of turbulent free shear flow statistics using a simple stochastic model , 2000 .

[3]  Alan R. Kerstein,et al.  One-dimensional turbulence modeling for cylindrical and spherical flows: model formulation and application , 2018, Theoretical and Computational Fluid Dynamics.

[4]  N. Peters.  Laminar diffusion flamelet models in non-premixed turbulent combustion , 1984 .

[5]  Alan R. Kerstein,et al.  One-dimensional turbulence: model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows , 1999, Journal of Fluid Mechanics.

[6]  A. Kerstein,et al.  A model for layer formation in stably stratified turbulence , 2001 .

[7]  Alan R. Kerstein,et al.  ‘One-dimensional turbulence’ simulation of turbulent jet diffusion flames: model formulation and illustrative applications , 2001 .

[8]  Alan R. Kerstein,et al.  One-dimensional turbulence: vector formulation and application to free shear flows , 2001, Journal of Fluid Mechanics.

[9]  Alexander W. Abboud,et al.  A numerical comparison of precipitating turbulent flows between large‐eddy simulation and one‐dimensional turbulence , 2015 .

[10]  A. Kerstein,et al.  One-dimensional turbulence modeling of a turbulent counterflow flame with comparison to DNS , 2015 .

[11]  J. Hewson,et al.  Evaluation of stochastic particle dispersion modeling in turbulent round jets , 2017 .

[12]  J. Hewson,et al.  Local extinction and reignition in nonpremixed turbulent CO/H 2 /N 2 jet flames , 2002 .

[13]  G. Strang.  On the Construction and Comparison of Difference Schemes , 1968 .

[14]  Robert S. Barlow,et al.  Raman/Rayleigh/LIF Measurements in a Turbulent CH4/H2/N2 Jet Diffusion Flame: Experimental Techniques and Turbulence-Chemistry Interaction , 2000 .

[15]  A. Kerstein,et al.  Fluxes across double-diffusive interfaces: a one-dimensional-turbulence study , 2010, Journal of Fluid Mechanics.

[16]  Ryan S. Hintze,et al.  Simulation of Ethylene Wall Fires Using the Spatially-Evolving One-Dimensional Turbulence Model , 2016 .

[17]  Alan R. Kerstein,et al.  Mesh adaption for efficient multiscale implementation of one-dimensional turbulence , 2013 .

[18]  Rodney Cannon Schmidt,et al.  Near-wall LES closure based on one-dimensional turbulence modeling , 2003 .

[19]  Rodney Cannon Schmidt,et al.  ODTLES: A multi-scale model for 3D turbulent flow based on one-dimensional turbulence modeling , 2010 .

[20]  R. Fox,et al.  Conditional-moment Closure with Differential Diffusion for Soot Evolution in Fire , 2006 .

[21]  J. Gore,et al.  A Spatially Developing One-Dimensional Turbulence (ODT) Study of Soot and Enthalpy Evolution in Meter-Scale Buoyant Turbulent Flames , 2010 .

[22]  J. Sutherland,et al.  Prediction of oxy-coal flame stand-off using high-fidelity thermochemical models and the one-dimensional turbulence model , 2015 .

[23]  D. Choi,et al.  Analysis of NO formation in high temperature diluted air combustion in a coaxial jet flame using an unsteady flamelet model , 2009 .

[24]  K. W. Lee,et al.  Prediction of NO in turbulent diffusion flames using Eulerian particle flamelet model , 2008 .

[25]  Stephen B. Pope,et al.  Large eddy simulation/probability density function modeling of a turbulent CH4/H2/N2 jet flame , 2011 .

[26]  A. Kerstein,et al.  Non-equilibrium Wall Deposition of Inertial Particles in Turbulent Flow , 2009 .

[27]  Reactive Rayleigh–Taylor turbulent mixing: a one-dimensional-turbulence study , 2013 .

[28]  J C Hewson,et al.  Stochastic simulation of transport and chemical kinetics in turbulent CO/H2/N2 flames , 2001 .

[29]  Andy B. Yoo,et al.  Approved for Public Release; Further Dissemination Unlimited X-ray Pulse Compression Using Strained Crystals X-ray Pulse Compression Using Strained Crystals , 2002 .

[30]  D. Lignell,et al.  One-dimensional-turbulence simulation of flame extinction and reignition in planar ethylene jet flames , 2012 .

[31]  D. Thévenin,et al.  Comparison Between ODT and DNS for Ignition Occurrence in Turbulent Premixed Jet Combustion: Safety-Relevant Applications , 2017 .

[32]  Joint scalar transported PDF modeling of nonpiloted turbulent diffusion flames , 2005 .

[33]  Particle dispersion in homogeneous turbulence using the one-dimensional turbulence model , 2014 .

[34]  Alan R. Kerstein,et al.  An evaluation of the one-dimensional turbulence model: Comparison with direct numerical simulations of CO/H2 jets with extinction and reignition , 2011 .

[35]  H. Pitsch.  Unsteady Flamelet Modeling of Differential Diffusion in Turbulent Jet Diffusion Flames , 2000 .

[36]  M. Fairweather,et al.  First-order conditional moment closure modeling of turbulent, nonpremixed hydrogen flames , 2003 .