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2013-01-1086
Large Eddy Simulation of Premixed Combustion in Spark Ignited Engines Using a
Dynamic Flame Surface Density Model
Ranasinghe, C, Malalasekera, W & Clarke, A
Loughborough University, UK
Copyright © 2012 SAE International
ABSTRACT
In this work, cyclic combustion simulations of a spark ignition
engine were performed using the Large Eddy Simulation
techniques. The KIVA-4 RANS code was modified to
incorporate the LES capability. The flame surface density
approach was implemented to model the combustion process.
Ignition and flame kernel models were also developed to
simulate the early stage of flame propagation. A dynamic
procedure was formulated where all model coefficients were
locally evaluated using the resolved and test filtered flow
properties during the fully developed phase of combustion. A
test filtering technique was adopted to use in wall bounded
systems. The developed methodology was then applied to
simulate the combustion and associated unsteady effects in a
spark ignition engine. The implementation was validated using
the experimental data taken from the same engine.
Results show that, even with relatively coarser meshes used in
this work, present LES implementation has been able to
resolve the evolution of a large number of in-cylinder flow
structures, which are more influential for engine performance.
Predicted combustion rate and pressure rise is also in good
agreement with the measurements. The limits of cyclic
variations are well within the experimentally observed range.
It has also been able to demonstrate the limits of cyclic
fluctuations to a reasonable degree even with a fewer number
of simulation cycles. A significant variation of flame
propagation has also been predicted by the simulations.
INTRODUCTION
Use of the Large Eddy Simulation (LES) techniques has
become increasingly popular for engineering simulations. In
Reynolds Averaged Navier Stokes (RANS) method, the entire
flow spectrum has to be modelled so that the predictions are
model dependent to a larger extent. Whereas in LES, most of
the flow field is resolved and only the sub-grid scale (SGS)
part is modelled. Hence, LES results are more accurate, less
model dependent and provide detailed information. In
addition, LES is very much appropriate for engine simulations
as it provides the opportunity to simulate inherent unsteady
phenomena such as cyclic variations and combustion
instabilities. Therefore, the use of LES in engine modelling
provides a more reliable way of investigating operational and
geometric refinements.
LES techniques have been widely used in non-reacting flow
modelling, but its application to combustion simulation is still
in a preliminary stage. In particular, studies devoted to internal
combustion (IC) engine simulations using LES is very limited.
Studies [1-5] may be identified as some of the promising cold
flow simulations which reveal the potential of LES
predictions. Remarkably, compared to RANS, overall
predictions of these simulations have found to be much better
in agreement with experimental results. Application of LES in
reacting flow modelling has largely been limited to non-
premixed combustion [6, 7].
Premixed combustion modelling with LES is particularly a
challenging task due to a number of difficulties detailed
below. Usually, the premixed laminar flame thickness
, is
so thin and it cannot be resolved using the classical LES mesh
sizes. For example the flame thickness in SI engine
applications is about 0.1 mm [8]. In order to adequately
resolve the flame front, a minimum of 5-10 grid points are
needed with a typical finite volume based CFD code [9].
Therefore, this resolution requirement is prohibitively
expensive compared to the mesh resolution possible with
current computing power, which is typically about 0.5mm.
A possible solution is to neglect this physical consideration
and model the combustion process using an eddy break-up
(EBU) type formulation. In such an approach, any modelling
discrepancy may be absorbed by an adjustable model constant.
The EBU model has two major short comings: negligence of
the chemistry interaction with combustion and poor
predictions near highly strained regions such as near walls.
Moreover, the EBU model constant seems to be strongly
dependent on the flow condition and mesh configuration.
However, there is only very little work carried out to
investigate the applicability of this type of formulations [10]
and some initial applications of the LES-EBU model can be
found in [11, 12].