A DRD finite element formulation for computing turbulent reacting flows in gas turbine combustors

An effective multiscale treatment of turbulent reacting flows is presented with the use of a stabilized finite element formulation. The method proposed is developed based on the streamline-upwind/Petrov–Galerkin (SUPG) formulation, and includes discontinuity capturing in the form of a new generation “DRD” method, namely the “DRDJ” technique. The stabilized formulation is applied to finite-rate chemistry modelling based on mixture-fraction approaches with the so-called presumed-PDF technique. The turbulent combustion process is simulated for an aero-engine combustor configuration of RQL concept in non-premixed flame regime. The comparative analysis of the temperature and velocity fields demonstrate that the proposed SUPG+DRDJ formulation outperforms the stand-alone SUPG method. The improved accuracy is demonstrated in terms of the combustor overall performance, and the mechanisms involved in the distribution of the numerical diffusivity are also discussed.

[1]  R. Codina.  Comparison of some finite element methods for solving the diffusion-convection-reaction equation , 1998 .

[2]  Alessandro Corsini,et al.  A Multiscale Finite Element Formulation With Discontinuity Capturing for Turbulence Models With Dominant Reactionlike Terms , 2009 .

[3]  T. Tezduyar,et al.  Finite element procedures for time-dependent convection-diffusion-reaction systems , 1987 .

[4]  Tayfun E. Tezduyar,et al.  Finite element stabilization parameters computed from element matrices and vectors , 2000 .

[5]  T. Hughes,et al.  Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows , 2007 .

[6]  W. Jones,et al.  Computational modelling of dump combustors flowfield , 1991 .

[7]  Guillermo Hauke,et al.  A simple subgrid scale stabilized method for the advection–diffusion-reaction equation , 2002 .

[8]  D. Lentini.  Assessment of The Stretched Laminar Flamelet Approach For Nonpremixed Turbulent Combustion , 1993 .

[9]  T. Hughes,et al.  Large Eddy Simulation and the variational multiscale method , 2000 .

[10]  G. Hauke,et al.  Computing reactive flows with a field Monte Carlo formulation and multi-scale methods , 2004 .

[11]  A. Corsini,et al.  Flow analyses in a high-pressure axial ventilation fan with a non-linear eddy-viscosity closure , 2005 .

[12]  S. K. Liew,et al.  A stretched laminar flamelet model of turbulent nonpremixed combustion , 1984 .

[13]  Tayfun E. Tezduyar,et al.  Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations , 1986 .

[14]  Heinz Pitsch,et al.  Large-eddy simulation of turbulent reacting flows , 2008 .

[15]  B. Launder,et al.  Development and application of a cubic eddy-viscosity model of turbulence , 1996 .

[16]  J. Riley.  Review of Large-Eddy Simulation of Non-Premixed Turbulent Combustion , 2006 .

[17]  T. Hughes.  Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods , 1995 .

[18]  Tayfun E. Tezduyar,et al.  Finite elements in fluids: Stabilized formulations and moving boundaries and interfaces , 2007 .

[19]  Alessandro Corsini,et al.  Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD) , 2007 .

[20]  L. Franca,et al.  On an Improved Unusual Stabilized Finite Element Method for theAdvective-Reactive-Diffusive Equation , 1999 .

[21]  Joachim Kurzke.  HOW TO CREATE A PERFORMANCE MODEL OF A GAS TURBINE FROM A LIMITED AMOUNT OF INFORMATION , 2005 .

[22]  Rudolf Schilling,et al.  Modelling Fluid Flow , 2004 .

[23]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[24]  Alessandro Corsini,et al.  A variational multiscale higher-order finite element formulation for turbomachinery flow computations , 2005 .

[25]  R. Temam,et al.  Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method , 1993 .

[26]  A. Corsini,et al.  A new stabilized finite element method for advection-diffusion-reaction equations using quadratic elements , 2004 .

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

[28]  Wolfgang A. Wall,et al.  A ‘divide‐and‐conquer’ spatial and temporal multiscale method for transient convection–diffusion–reaction equations , 2007 .

[29]  T. Tezduyar.  Computation of moving boundaries and interfaces and stabilization parameters , 2003 .

[30]  T. Tezduyar,et al.  Improved Discontinuity-capturing Finite Element Techniques for Reaction Effects in Turbulence Computation , 2006 .