A Semi-implicit Numerical Scheme for Reacting Flow

Knio, Omar M.; Najm, Habib N.; Wyckoff, P.

doi:10.1006/jcph.1999.6322

Cited by 158 publications

(153 citation statements)

References 76 publications

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“…[17]. In particular, tests demonstrate that the construction is effective in defeating the stiffness of both the diffusion and reaction source terms.…”

Section: Numerical Schemementioning

confidence: 95%

“…[16,17], which provide a detailed discussion of the numerical construction. Brief descriptions of the physical formulation and numerical scheme are provided below.…”

Section: Formulation and Numerical Schemesmentioning

confidence: 99%

“…Under the above assumptions, the governing equations are expressed in non-dimensional form as [16,17] …”

Section: Physical Modelmentioning

confidence: 99%

“…[17]. The scheme is a variable-density projection method for reacting flow, which relies on a second-order spatial discretization of the governing equations.…”

Section: Numerical Schemementioning

confidence: 99%

“…[17] is the use of a symmetric splitting of the diffusion and reaction terms and the incorporation of a stiff scheme for the numerical integration of the reaction source term. The splitting is implemented in such a way that the diffusion terms are updated in two half-time-step integrations, which are separated by a full-time-step integration of the reaction terms.…”

Section: Numerical Schemementioning

confidence: 99%

See 4 more Smart Citations

Effect of stoichiometry and strain rate on transient flame response

Knio

Najm

2000

Proceedings of the Combustion Institute

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“…[17]. In particular, tests demonstrate that the construction is effective in defeating the stiffness of both the diffusion and reaction source terms.…”

Section: Numerical Schemementioning

confidence: 95%

“…[16,17], which provide a detailed discussion of the numerical construction. Brief descriptions of the physical formulation and numerical scheme are provided below.…”

Section: Formulation and Numerical Schemesmentioning

confidence: 99%

“…Under the above assumptions, the governing equations are expressed in non-dimensional form as [16,17] …”

Section: Physical Modelmentioning

confidence: 99%

“…[17]. The scheme is a variable-density projection method for reacting flow, which relies on a second-order spatial discretization of the governing equations.…”

Section: Numerical Schemementioning

confidence: 99%

Section: Numerical Schemementioning

confidence: 99%

See 3 more Smart Citations

Effect of stoichiometry and strain rate on transient flame response

Knio

Najm

2000

Proceedings of the Combustion Institute

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Projection method with self‐adaptive time steps for LES of ignition and extinction in non‐premixed jet flames

Liu

Chen

Kulasegaram

2010

Numer Methods Biomed Eng

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SUMMARYIn this paper, a modified projection method is combined with a self-adaptive time step procedure to develop numerical scheme for large eddy simulation (LES) of low Ma number turbulent reactive flows. The projection method introduced by Chorin is modified in this study to satisfy the simulation requirement of low Ma number reactive flow. The time step in this computation is automatically determined according to the time scales of both chemical reaction and turbulent fluctuations. This enables the simulation to capture detailed flow structures with less computational time. Numerical simulation of methane-air jet flames is carried out as an example to validate the developed numerical scheme. The mechanism of a simplified 4-step chemical kinetics is applied for the methane-air reaction. The dynamic model is adopted for the turbulent motion of sub-grid scale (SGS). The dynamic similarity model is used as the SGS model for the reaction rate. The LES results satisfactorily depict the ignition process of the turbulent jet flames and illustrate lucid and detailed coherent structures of the fully developed turbulent reactive jet flow. The LES results also exhibit the mechanism and characteristics of local extinction. The method developed in this study provides an effective way to capture more flow details with less computational time. In addition the method also helps one to investigate the mechanism of ignition and local extinction in jet flames.

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The modeling of realistic chemical vapor infiltration/deposition reactors

Ibrahim

Paolucci

2009

Numerical Methods in Fluids

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SUMMARYWe describe the low Mach number equations as well as a second-order numerical integration procedure that are used to solve a realistic chemical vapor infiltration/chemical vapor deposition (CVI/CVD) problem. The simulation accounts for a homogeneous gas chemical reaction mechanism, a heterogeneous surface reaction mechanism, and an evolving pore structure model. The numerical solution of the model ultimately leads to the solution of a large system of stiff differential algebraic equations that are to be integrated over a long time. An operator splitting algorithm is employed to deal with the stiffness associated with chemical reactions, whereas a projection method is employed to overcome the difficulty arising from having to solve a large coupled system for velocity and pressure fields. Results show that the proposed integration procedure is very efficient for modeling long time CVI/CVD densification processes.

show abstract

A Semi-implicit Numerical Scheme for Reacting Flow

Cited by 158 publications

References 76 publications

Effect of stoichiometry and strain rate on transient flame response

Effect of stoichiometry and strain rate on transient flame response

Projection method with self‐adaptive time steps for LES of ignition and extinction in non‐premixed jet flames

The modeling of realistic chemical vapor infiltration/deposition reactors

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