A minimally-dissipative low-Mach number solver for complex reacting flows in Open$\mathrm{FOAM}$

Hassanaly, Malik; Koo, Heeseok; Lietz, Christopher F.; Chong, Shao Teng; Raman, Venkat

doi:10.1016/j.compfluid.2017.11.020

Title: A minimally-dissipative low-Mach number solver for complex reacting flows in Open$$\mathrm{FOAM}$$

Journal Article · Sat Dec 02 00:00:00 EST 2017 · Computers and Fluids

DOI:https://doi.org/10.1016/j.compfluid.2017.11.020· OSTI ID:1538178

Hassanaly, Malik ^[1]; Koo, Heeseok ^[1]; Lietz, Christopher F. ^[2]; Chong, Shao Teng ^[1]; Raman, Venkat ^[1]

University of Michigan, Ann Arbor, MI (United States)
SLI, Inc., Air Force Research Lab, Edwards AFB, CA (United States)

Large eddy simulation (LES) has become the de-facto computational tool for modeling complex reacting flows, especially in gas turbine applications. However, readily usable general-purpose LES codes for complex geometries are typically academic or proprietary/commercial in nature. In this report the objective is to develop and disseminate an open source LES tool for low-Mach number turbulent combustion using the OpenFOAM framework. In particular, a collocated-mesh approach suited for unstructured grid formulation is provided. Unlike other fluid dynamics models, LES accuracy is intricately linked to so-called primary and secondary conservation properties of the numerical discretization schemes. This implies that although the solver only evolves equations for mass, momentum, and energy, the implied discrete equation for kinetic energy (square of velocity) should be minimally-dissipative. Here, a specific spatial and temporal discretization is imposed such that this kinetic energy dissipation is minimized. The method is demonstrated using manufactured solutions approach on regular and skewed meshes for a canonical flow and a lab-scale turbulent flow problem.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Univ. of Texas, Austin, TX (United States); Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE); National Aeronautics and Space Administration (NASA); USDOE

Grant/Contract Number:: FE0012053; NNX16AP90A

OSTI ID:: 1538178

Alternate ID(s):: OSTI ID: 1549182

Journal Information:: Computers and Fluids, Vol. 162, Issue C; ISSN 0045-7930

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 29 works

Citation information provided by
Web of Science

References (45)

Grid-independent large-eddy simulation using explicit filtering Bose, Sanjeeb T.; Moin, Parviz; You, Donghyun Physics of Fluids, Vol. 22, Issue 10 https://doi.org/10.1063/1.3485774	journal	October 2010
LES/PDF modeling of autoignition in a lifted turbulent flame: Analysis of flame sensitivity to differential diffusion and scalar mixing time-scale Han, Wang; Raman, Venkat; Chen, Zheng Combustion and Flame, Vol. 171 https://doi.org/10.1016/j.combustflame.2016.05.027	journal	September 2016
Uniformly high order accurate essentially non-oscillatory schemes, III Harten, Ami; Engquist, Bjorn; Osher, Stanley Journal of Computational Physics, Vol. 71, Issue 2 https://doi.org/10.1016/0021-9991(87)90031-3	journal	August 1987
Fully Conservative Higher Order Finite Difference Schemes for Incompressible Flow Morinishi, Y.; Lund, T. S.; Vasilyev, O. V. Journal of Computational Physics, Vol. 143, Issue 1 https://doi.org/10.1006/jcph.1998.5962	journal	June 1998
Solution of the implicitly discretised fluid flow equations by operator-splitting Issa, R. I. Journal of Computational Physics, Vol. 62, Issue 1 https://doi.org/10.1016/0021-9991(86)90099-9	journal	January 1986
On the Effect of Numerical Errors in Large Eddy Simulations of Turbulent Flows Kravchenko, A. G.; Moin, P. Journal of Computational Physics, Vol. 131, Issue 2 https://doi.org/10.1006/jcph.1996.5597	journal	March 1997
Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow Felten, Frédéric N.; Lund, Thomas S. Journal of Computational Physics, Vol. 215, Issue 2 https://doi.org/10.1016/j.jcp.2005.11.009	journal	July 2006
High resolution schemes for hyperbolic conservation laws Harten, Ami Journal of Computational Physics, Vol. 49, Issue 3 https://doi.org/10.1016/0021-9991(83)90136-5	journal	March 1983
PyFR: An open source framework for solving advection–diffusion type problems on streaming architectures using the flux reconstruction approach Witherden, F. D.; Farrington, A. M.; Vincent, P. E. Computer Physics Communications, Vol. 185, Issue 11 https://doi.org/10.1016/j.cpc.2014.07.011	journal	November 2014
Large eddy simulation of fire plumes Wang, Yi; Chatterjee, Prateep; de Ris, John L. Proceedings of the Combustion Institute, Vol. 33, Issue 2 https://doi.org/10.1016/j.proci.2010.07.031	journal	January 2011
Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion Pierce, Charles D.; Moin, Parviz Journal of Fluid Mechanics, Vol. 504 https://doi.org/10.1017/S0022112004008213	journal	January 1999
Large-eddy simulation of a bluff-body-stabilized non-premixed flame using a recursive filter-refinement procedure Raman, Venkatramanan; Pitsch, Heinz Combustion and Flame, Vol. 142, Issue 4 https://doi.org/10.1016/j.combustflame.2005.03.014	journal	September 2005
Large-eddy simulation of turbulent channel flow using explicit filtering and dynamic mixed models Singh, Satbir; You, Donghyun; Bose, Sanjeeb T. Physics of Fluids, Vol. 24, Issue 8 https://doi.org/10.1063/1.4745007	journal	August 2012
Verification of variable-density flow solvers using manufactured solutions Shunn, Lee; Ham, Frank; Moin, Parviz Journal of Computational Physics, Vol. 231, Issue 9 https://doi.org/10.1016/j.jcp.2012.01.027	journal	May 2012
An Analysis of Numerical Errors in Large-Eddy Simulations of Turbulence Ghosal, Sandip Journal of Computational Physics, Vol. 125, Issue 1 https://doi.org/10.1006/jcph.1996.0088	journal	April 1996
Analysis of a dynamic model for subfilter scalar dissipation rate in large eddy simulation based on the subfilter scalar variance transport equation Kaul, Colleen M.; Raman, Venkatramanan Combustion Theory and Modelling, Vol. 17, Issue 5 https://doi.org/10.1080/13647830.2013.809150	journal	October 2013
A consistent LES/filtered-density function formulation for the simulation of turbulent flames with detailed chemistry Raman, Venkatramanan; Pitsch, Heinz Proceedings of the Combustion Institute, Vol. 31, Issue 2 https://doi.org/10.1016/j.proci.2006.07.152	journal	January 2007
Conditional Moment Closure for Large Eddy Simulations Navarro-Martinez, S.; Kronenburg, A.; Mare, F. Di Flow, Turbulence and Combustion, Vol. 75, Issue 1-4 https://doi.org/10.1007/s10494-005-8580-7	journal	December 2005
A fractal flame-wrinkling large eddy simulation model for premixed turbulent combustion Fureby, C. Proceedings of the Combustion Institute, Vol. 30, Issue 1 https://doi.org/10.1016/j.proci.2004.08.068	journal	January 2005
Flux Corrected Finite Volume Scheme for Preserving Scalar Boundedness in Reacting Large-Eddy Simulations Herrmann, M.; Blanquart, G.; Raman, V. AIAA Journal, Vol. 44, Issue 12 https://doi.org/10.2514/1.18235	journal	December 2006
Comparison of well-mixed and multiple representative interactive flamelet approaches for diesel spray combustion modelling D’Errico, G.; Lucchini, T.; Contino, F. Combustion Theory and Modelling, Vol. 18, Issue 1 https://doi.org/10.1080/13647830.2013.860238	journal	January 2014
A multivariate quadrature based moment method for LES based modeling of supersonic combustion Donde, Pratik; Koo, Heeseok; Raman, Venkat Journal of Computational Physics, Vol. 231, Issue 17 https://doi.org/10.1016/j.jcp.2012.04.031	journal	July 2012
Weighted Essentially Non-oscillatory Schemes Liu, Xu-Dong; Osher, Stanley; Chan, Tony Journal of Computational Physics, Vol. 115, Issue 1 https://doi.org/10.1006/jcph.1994.1187	journal	November 1994
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface Harlow, Francis H.; Welch, J. Eddie Physics of Fluids, Vol. 8, Issue 12 https://doi.org/10.1063/1.1761178	journal	January 1965
Application of a fractional-step method to incompressible Navier-Stokes equations Kim, J.; Moin, P. Journal of Computational Physics, Vol. 59, Issue 2 https://doi.org/10.1016/0021-9991(85)90148-2	journal	June 1985
Symmetry-preserving discretization of turbulent flow Verstappen, R. W. C. P.; Veldman, A. E. P. Journal of Computational Physics, Vol. 187, Issue 1 https://doi.org/10.1016/S0021-9991(03)00126-8	journal	May 2003
From Large-Eddy Simulation to Direct Numerical Simulation of a lean premixed swirl flame: Filtered laminar flame-PDF modeling Moureau, V.; Domingo, P.; Vervisch, L. Combustion and Flame, Vol. 158, Issue 7 https://doi.org/10.1016/j.combustflame.2010.12.004	journal	July 2011
High order conservative finite difference scheme for variable density low Mach number turbulent flows Desjardins, Olivier; Blanquart, Guillaume; Balarac, Guillaume Journal of Computational Physics, Vol. 227, Issue 15 https://doi.org/10.1016/j.jcp.2008.03.027	journal	July 2008
A stable and accurate convective modelling procedure based on quadratic upstream interpolation Leonard, B. P. Computer Methods in Applied Mechanics and Engineering, Vol. 19, Issue 1 https://doi.org/10.1016/0045-7825(79)90034-3	journal	June 1979
A posteriori analysis of numerical errors in subfilter scalar variance modeling for large eddy simulation Kaul, C. M.; Raman, V. Physics of Fluids, Vol. 23, Issue 3 https://doi.org/10.1063/1.3556097	journal	March 2011
A further study of numerical errors in large-eddy simulations Chow, Fotini Katopodes; Moin, Parviz Journal of Computational Physics, Vol. 184, Issue 2 https://doi.org/10.1016/S0021-9991(02)00020-7	journal	January 2003
Conservation Properties of Unstructured Finite-Volume Mesh Schemes for the Navier-Stokes Equations Jofre, Lluís; Lehmkuhl, Oriol; Ventosa, Jordi Numerical Heat Transfer, Part B: Fundamentals, Vol. 65, Issue 1 https://doi.org/10.1080/10407790.2013.836335	journal	November 2013
A numerical method for large-eddy simulation in complex geometries Mahesh, K.; Constantinescu, G.; Moin, P. Journal of Computational Physics, Vol. 197, Issue 1 https://doi.org/10.1016/j.jcp.2003.11.031	journal	June 2004
Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows Morinishi, Yohei Journal of Computational Physics, Vol. 229, Issue 2 https://doi.org/10.1016/j.jcp.2009.09.021	journal	January 2010
Numerical errors in the computation of subfilter scalar variance in large eddy simulations Kaul, C. M.; Raman, V.; Balarac, G. Physics of Fluids, Vol. 21, Issue 5 https://doi.org/10.1063/1.3123531	journal	May 2009
Implementation of the eddy dissipation model of turbulent non-premixed combustion in OpenFOAM Kassem, Hassan I.; Saqr, Khalid M.; Aly, Hossam. S. International Communications in Heat and Mass Transfer, Vol. 38, Issue 3 https://doi.org/10.1016/j.icheatmasstransfer.2010.12.012	journal	March 2011
Development of High-Order Taylor–Galerkin Schemes for LES Colin, Olivier; Rudgyard, Michael Journal of Computational Physics, Vol. 162, Issue 2 https://doi.org/10.1006/jcph.2000.6538	journal	August 2000
A General Class of Commutative Filters for LES in Complex Geometries Vasilyev, Oleg V.; Lund, Thomas S.; Moin, Parviz Journal of Computational Physics, Vol. 146, Issue 1 https://doi.org/10.1006/jcph.1998.6060	journal	October 1998
LES/probability density function approach for the simulation of an ethanol spray flame Heye, Colin; Raman, Venkat; Masri, Assaad R. Proceedings of the Combustion Institute, Vol. 34, Issue 1 https://doi.org/10.1016/j.proci.2012.06.107	journal	January 2013
Analysis of weakly turbulent dilute-spray flames and spray combustion regimes Reveillon, Julien; Vervisch, Luc Journal of Fluid Mechanics, Vol. 537, Issue -1 https://doi.org/10.1017/S0022112005005227	journal	August 2005
Large eddy simulation of pressure and dilution-jet effects on soot formation in a model aircraft swirl combustor Chong, Shao Teng; Hassanaly, Malik; Koo, Heeseok Combustion and Flame, Vol. 192 https://doi.org/10.1016/j.combustflame.2018.02.021	journal	June 2018
Large-Eddy Simulation of Turbulent Combustion Pitsch, Heinz Annual Review of Fluid Mechanics, Vol. 38, Issue 1 https://doi.org/10.1146/annurev.fluid.38.050304.092133	journal	January 2006
Numerical methods for unsteady compressible multi-component reacting flows on fixed and moving grids Moureau, V.; Lartigue, G.; Sommerer, Y. Journal of Computational Physics, Vol. 202, Issue 2 https://doi.org/10.1016/j.jcp.2004.08.003	journal	January 2005
Large-Eddy Simulation of Soot Formation in a Model Gas Turbine Combustor Koo, Heeseok; Hassanaly, Malik; Raman, Venkat Journal of Engineering for Gas Turbines and Power, Vol. 139, Issue 3 https://doi.org/10.1115/1.4034448	journal	September 2016
Soot Formation and Flame Characterization of an Aero-Engine Model Combustor Burning Ethylene at Elevated Pressure Geigle, Klaus Peter; Hadef, Redjem; Meier, Wolfgang Volume 1B: Combustion, Fuels and Emissions https://doi.org/10.1115/gt2013-95316	conference	June 2013