An Adaptive Projection Method for Unsteady, Low-Mach Number Combustion

We present an adaptive projection method for modeling unsteady, low-Mach reacting flow in an unconfined region. The equations are based on a model for low-Mach number combustion that consists of evolution equations coupled with a constraint on the divergence of the flow. The algorithm is based on a...

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Vydáno v:	Combustion science and technology Ročník 140; číslo 1-6; s. 123 - 168
Hlavní autoři:	PEMBER, R. B., HOWELL, L. H., BELL, J. B., COLELLA, P., CRUTCHFIELD, W. Y., FIVELAND, W. A., JESSEE, J. P.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	London Taylor & Francis Group 01.12.1998 Taylor & Francis
Témata:	Applied sciences Combustion. Flame Energy Energy. Thermal use of fuels Exact sciences and technology fluid dynamic aspects in combustion Laminar diffusion flames numerical modeling Theoretical studies Theoretical studies. Data and constants. Metering unsteady combustion Methane Projection method Laminar flame Fluid dynamics Diffusion flame Combustion Modeling Adaptive method
ISSN:	0010-2202, 1563-521X
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Abstract	We present an adaptive projection method for modeling unsteady, low-Mach reacting flow in an unconfined region. The equations are based on a model for low-Mach number combustion that consists of evolution equations coupled with a constraint on the divergence of the flow. The algorithm is based on a projection methodology in which we first advance the evolution equations and then solve an elliptic equation to enforce the divergence constraint. The adaptive mesh refinement (AMR) scheme uses a time-varying hierarchy of rectangular grids. The integration scheme is a recursive procedure in which coarse grids are advanced, fine grids are advanced to the same time as the coarse grids, and the coarse and fine grid data are then synchronized. The method is currently implemented for laminar, axisymmetric flames with a reduced kinetics mechanism and a Lewis number of unity. Three methane-air flames, two steady and one flickering, are presented as numerical examples.
AbstractList	Unsteady low-Mach reacting flow in an unconfined region is here modeled via an adaptive projection method whose algorithm employs a projection methodology forf advancing the evolution equations and then solving an elliptic equation to enforce the divergence constraint. The adaptive mesh refinement scheme employed uses a time-varying hierarchy of rectangular grids. The method is implemented for laminar axisymmetric flames with Lewis number of unity, and one flickering and two steady methane-air flames are given as numerical examples. (AIAA) We present an adaptive projection method for modeling unsteady, low-Mach reacting flow in an unconfined region. The equations are based on a model for low-Mach number combustion that consists of evolution equations coupled with a constraint on the divergence of the flow. The algorithm is based on a projection methodology in which we first advance the evolution equations and then solve an elliptic equation to enforce the divergence constraint. The adaptive mesh refinement (AMR) scheme uses a time-varying hierarchy of rectangular grids. The integration scheme is a recursive procedure in which coarse grids are advanced, fine grids are advanced to the same time as the coarse grids, and the coarse and fine grid data are then synchronized. The method is currently implemented for laminar, axisymmetric flames with a reduced kinetics mechanism and a Lewis number of unity. Three methane-air flames, two steady and one flickering, are presented as numerical examples.
Author	PEMBER, R. B. BELL, J. B. FIVELAND, W. A. JESSEE, J. P. HOWELL, L. H. COLELLA, P. CRUTCHFIELD, W. Y.
Author_xml	– sequence: 1 givenname: R. B. surname: PEMBER fullname: PEMBER, R. B. organization: Lawrence Livermore National Laboratory – sequence: 2 givenname: L. H. surname: HOWELL fullname: HOWELL, L. H. organization: Lawrence Livermore National Laboratory – sequence: 3 givenname: J. B. surname: BELL fullname: BELL, J. B. organization: Lawrence Berkeley National Laboratory – sequence: 4 givenname: P. surname: COLELLA fullname: COLELLA, P. organization: Lawrence Berkeley National Laboratory – sequence: 5 givenname: W. Y. surname: CRUTCHFIELD fullname: CRUTCHFIELD, W. Y. organization: Lawrence Berkeley National Laboratory – sequence: 6 givenname: W. A. surname: FIVELAND fullname: FIVELAND, W. A. organization: McDermott Technology, Inc – sequence: 7 givenname: J. P. surname: JESSEE fullname: JESSEE, J. P. organization: McDermott Technology, Inc
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SubjectTerms	Applied sciences Combustion. Flame Energy Energy. Thermal use of fuels Exact sciences and technology fluid dynamic aspects in combustion Laminar diffusion flames numerical modeling Theoretical studies Theoretical studies. Data and constants. Metering unsteady combustion
Title	An Adaptive Projection Method for Unsteady, Low-Mach Number Combustion
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