Verification and Validation of a Low-Mach-Number Large-Eddy Simulation Code against Manufactured Solutions and Experimental Results

To investigate turbulent reacting flows, a low-Mach number large-eddy simulation (LES) code called ‘LESsCoal’ has been developed in our group. This code employs the Germano dynamic sub-grid scale (SGS) model and the steady flamelet/progress variable approach (SFPVA) on a stagger-structured grid, in both time and space. The method of manufactured solutions (MMS) is used to investigate the convergence and the order of accuracy of the code when no model is used. Finally, a Sandia non-reacting propane jet and Sandia Flame D are simulated to inspect the performance of the code under experimental setups. The results show that MMS is a promising tool for code verification and that the low-Mach-number LES code can accurately predict the non-reacting and reacting turbulent flows. The validated LES code can be used in numerical investigations on the turbulent combustion characteristics of new fuel gases in the future.

[1]  J Mathew,et al.  Filtered density function for large eddy simulation of turbulent reacting flows , 2008 .

[2]  Stephen B. Pope,et al.  Large eddy simulation of a turbulent nonpremixed piloted methane jet flame (Sandia Flame D) , 2004 .

[3]  R. Schefer,et al.  Conditional sampling of velocity in a turbulent nonpremixed propane jet , 1987 .

[4]  James A. Sethian,et al.  THE DERIVATION AND NUMERICAL SOLUTION OF THE EQUATIONS FOR ZERO MACH NUMBER COMBUSTION , 1985 .

[5]  Soledad Le Clainche,et al.  A Reduced Order Model to Predict Transient Flows around Straight Bladed Vertical Axis Wind Turbines , 2018 .

[6]  Dominique Pelletier,et al.  A manufactured solution for a two-dimensional steady wall-bounded incompressible turbulent flow , 2007 .

[7]  Jian Zhang,et al.  Regularization of reaction progress variable for application to flamelet-based combustion models , 2012, J. Comput. Phys..

[8]  T. Park.  LES and RANS simulations of cryogenic liquid nitrogen jets , 2012 .

[9]  H. Pitsch.  LES of a Non-Premixed Flame Using an Extended Flamelet/Progress Variable Model , 2005 .

[10]  O. Vasilyev,et al.  Fully conservative finite difference scheme in cylindrical coordinates for incompressible flow simulations , 2004 .

[11]  S. Navarro-Martinez,et al.  Conditional Moment Closure for Large Eddy Simulations , 2005 .

[12]  Richard Pasquetti,et al.  Spatial development of wakes using a spectral multi-domain method , 2000 .

[13]  Rs Cant,et al.  A flame surface density approach to large-eddy simulation of premixed turbulent combustion , 2000 .

[14]  A. W. Vreman,et al.  Premixed and nonpremixed generated manifolds in large-eddy simulation of Sandia flame D and F , 2008 .

[15]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[16]  Parviz Moin,et al.  Method for Generating Equilibrium Swirling Inflow Conditions , 1998 .

[17]  Kefa Cen,et al.  Direct Numerical Simulation of Subsonic Round Turbulent Jet , 2010 .

[18]  Parviz Moin,et al.  A semi-implicit method for resolution of acoustic waves in low Mach number flows , 2002 .

[19]  Heinz Pitsch,et al.  Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model. 2. Application in LES of Sandia flames D and E , 2008 .

[20]  Annarita Viggiano,et al.  How does a high density ratio affect the near- and intermediate-field of high-Re hydrogen jets? , 2016 .

[21]  H. Pitsch,et al.  An Unsteady/Flamelet Progress Variable Method for LES of Nonpremixed Turbulent Combustion , 2005 .

[22]  J. Bell,et al.  A Second-Order Projection Method for Variable- Density Flows* , 1992 .

[23]  Guang Hong,et al.  LES of synthetic jets in boundary layer with laminar separation caused by adverse pressure gradient , 2010 .

[24]  K. Huh,et al.  DNS analysis of propagation speed and conditional statistics of turbulent premixed flame in a planar impinging jet , 2011 .

[25]  J. Hopcroft,et al.  Triangular Factorization and Inversion by Fast Matrix Multiplication , 1974 .

[26]  H. Pitsch.  LARGE-EDDY SIMULATION OF TURBULENT COMBUSTION , 2006 .

[27]  P. Moin,et al.  Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion , 2004, Journal of Fluid Mechanics.

[28]  R. Barlow,et al.  Measurements of Scalar Variance, Scalar Dissipation, and Length Scales in Turbulent Piloted Methane/Air Jet Flames , 2004 .

[29]  Thierry Poinsot,et al.  Large Eddy Simulations of gaseous flames in gas turbine combustion chambers , 2012 .

[30]  F. Ham,et al.  Method of manufactured solutions applied to variable-density flow solvers , 2022 .

[31]  S. Menon,et al.  Large-Eddy Simulation of Turbulent Premixed Flames in the Flamelet Regime , 2001 .

[32]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[33]  Enrico Sciubba,et al.  LES of a Meso Combustion Chamber with a Detailed Chemistry Model: Comparison between the Flamelet and EDC Models , 2010 .

[34]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[35]  Stefano Leonardi,et al.  Large-Eddy Simulations of Two In-Line Turbines in a Wind Tunnel with Different Inflow Conditions , 2017 .

[36]  H. Pitsch,et al.  Large-eddy simulation of premixed turbulent combustion using a level-set approach , 2002 .

[37]  Zhi X. Chen,et al.  Large Eddy Simulation of flame edge evolution in a spark-ignited methane-air jet , 2017 .

[38]  Timothy G. Trucano,et al.  Verification and Validation in Computational Fluid Dynamics , 2002 .

[39]  Marcus Herrmann,et al.  Code verification for finite volume multiphase scalar equations using the method of manufactured solutions , 2012, J. Comput. Phys..

[40]  Parviz Moin,et al.  Verification of variable-density flow solvers using manufactured solutions , 2012, J. Comput. Phys..

[41]  H. Pitsch,et al.  Large-eddy simulation of a turbulent piloted methane/air diffusion flame (Sandia flame D) , 2000 .

[42]  Almerinda Di Benedetto,et al.  Sensitivity to the Presence of the Combustion Submodel for Large Eddy Simulation of Transient Premixed Flame–Vortex Interactions , 2012 .

[43]  Tao Liu,et al.  Large Eddy Simulation Analysis on Confined Swirling Flows in a Gas Turbine Swirl Burner , 2017 .

[44]  João Marcelo Vedovoto,et al.  Application of the method of manufactured solutions to the verification of a pressure-based finite-volume numerical scheme , 2011 .

[45]  V. N. Prasad,et al.  Large Eddy Simulation of the Sandia Flame Series (D–F) using the Eulerian stochastic field method , 2010 .

[46]  Ivar S. Ertesvåg,et al.  Large Eddy Simulation of Methane Diffusion Flame: Comparison of Chemical Kinetics Mechanisms , 2010 .

[47]  R. Klein.  Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics , 1995 .