2003-FL-46
Lattice-Boltzmann Diesel Particulate Filter Sub-Grid Modeling
– a progress report
George G. Muntean, Dave Rector, Darrell Herling, Del Lessor, and Moe Khaleel
Pacific Northwest National Laboratory
PO Box 999, Richland, WA 99352
Copyright © 2003 Society of Automotive Engineers, Inc.
ABSTRACT
Aftertreatment modeling capabilities are an important
part of the diesel engine manufacturer’s efforts to meet
the quickly approaching EPA 2007 heavy-duty
emissions regulations. A critical, yet poorly understood,
component of particulate filter modeling is the
representation of the soot oxidation rate. This term
directly influences most of the macroscopic
phenomenon of interest, including filtration efficiency,
heat transfer, back pressure, and filter regeneration.
Intrinsic soot cake properties such as packing density,
permeability and heat transfer coefficients remain
inadequately characterized (1). The work reported in
this paper involves subgrid modeling techniques which
may prove useful in resolving these inadequacies. The
technique involves the use of a lattice Boltzmann
modeling approach. This approach resolves length
scales which are orders of magnitude below those
typical of a standard computational fluid dynamics (CFD)
representation of an aftertreatment device. The
improved resolution may allow for the characterization of
functionality not previously reported in the literature.
This paper presents the first status report of this
multiyear project. Descriptions of the modeling
technique, the initial kinetics, and the development of the
computational domain are provided. In addition,
preliminary sample exercises are discussed in order to
illustrate how the final model, once refined and
validated, may be applied in practice.
INTRODUCTION
The United States Environmental Protection Agency’s
2007 heavy duty diesel engine exhaust emissions
standards mandate a 90% reduction in particulate matter
over current levels. The majority opinion in the diesel
industry is that these standards are, by implication,
mandating exhaust particulate filtration for diesel
engines (2). Unfortunately, there is no commercially
viable filtration technology which currently exists that can
be universally applied to all on-highway heavy duty
diesel engines without regard to duty cycle (3). Several
key technical hurdles that must be overcome in order for
diesel particulate filters to become practical include: filter
plugging, thermal failures, size, cost, filtration
performance, deactivation and durability.
The resolution of these technical issues requires a
detailed system level understanding of the interaction
between the diesel engine’s exhaust characteristics and
the filtration device. Attention must be given to all
possible application duty cycles and ambient conditions.
Modeling can greatly expedite this process. In order to
be effective, three specific modeling tasks must be
accomplished. First , detailed combustion and air
handling models are needed in order to understand
exhaust gas temperatures and constituents. Second ,
exhaust system models (including a characterization of
individual installation requirements) are required for heat
and mass transfer effects. This would also incorporate
any sensors and/or actuators within the exhaust system.
Third , the individual aftertreatment device performance
must be adequately characterized. Only then can
simulations effectively be produced to help aid in the
understanding and prediction of filtration effectiveness,
durability, and fuel economy impacts.
These system models can be used to optimize the
engine control strategies, to help determine the physical
dimensions of the catalyst system and to simulate
numerous real world applications which may be
prohibitively expensive to field test individually. The
detailed component models can be used to investigate
novel new filtration techniques or to optimize existing
substrate geometries for soot oxidation or soot capacity.
Regardless of the specific soot filtration or system
performance question being pursued, a critical key
1