Revision as of 10:36, 29 April 2011

SANDIA Flame D

Application Challenge AC2-09 © copyright ERCOFTAC 2024

Overview of CFD Simulations

All the calculations presented below were obtained within the MOLECULES FP5 project Contract N° G4RD-CT-2000-00402 by the team of the Institute of Thermal Machinery, Cz?stochowa University of Technology. The computations were performed with BOFFIN-LES code developed at Imperial College by the group of Prof. W.P. Jones. BOFFIN-LES computer code utilizes a boundary conforming general curvilinear coordinate system with a co-located storage arrangement. It incorporates a fully implicit formulation and is second order accurate in space and time. For the convection terms an energy conserving discretization scheme is used and matrix preconditioned conjugate gradient methods are used to solve the equations for pressure and velocity etc. The CFD simulations are all LES predictions with various subgrid scale models and turbulence/combustion interaction approaches and neither RANS nor URANS methods are studied in this document.

In the LES calculations two models of turbulence/combustion interaction were applied: steady flamelet model and simplified Conditional Moment Closure (CMC) neglecting the convection term in physical space (The CMC module was developed by Prof. E. Mastorakos from Cambridge University). In both cases the standard subgrid-scale (SGS) Smagorinsky model was used. Then in order to evaluate the importance of the subgrid-scale models the LES calculations were also performed using steady flamelet and dynamic (Germano) SGS model.

SIMULATION CASE CFD1

Solution Strategy

Computational Domain

Boundary Conditions

Application of Physical Models

In the most general case modeling of the combustion processes is very expensive computationally since together with the solution of the flow field it requires solution of additional transport equations for particular N species (e.g. CO, CO₂, H₂O, H₂, etc.) produced in chemical reactions. The transport equations for species have the following form:

{\frac {\partial \rho Y_{k}}{\partial t}}+{\frac {\partial \rho u_{i}Y_{k}}{\partial x_{i}}}={\frac {\partial }{\partial x_{i}}}\left(\rho D_{k}{\frac {\partial Y_{k}}{\partial x_{i}}}\right)+{\dot {\omega _{k}}}\quad k=1,2,\dots ,N\qquad (1)

where

$\rho$	is the density
$u_{i}$	is the velocity component
$Y_{k}$	is the mass fraction of species $k$
${\dot {\omega _{k}}}$	is the reaction rate (speed of creation/destruction of a given species)
$D_{k}$	is the diffusion coefficient usually taken the same (denoted by $D$ ) for each species and defined as $\rho D=\mu /Pr$ , where $\mu$ is the molecular viscosity and $Pr$ is the Prandtl number.