Implicit Finite Volume Method to Simulate Reacting Flow

Darbandi, Masoud; Banaeizadeh, Araz; Schneider, G. E.

doi:10.2514/6.2005-574

Cited by 4 publications

(2 citation statements)

References 9 publications

(9 reference statements)

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“…Meanwhile, it has been studied numerically in the Cartesian coordinaes as well. 20 Because of the symmetry, only one-half of the physical domain is studied here. The turbulent-combustion interaction and the fluctuation of species are not taken into account.…”

Section: Turbulent Axisymmetric Confined Diffusion Flame In a Model-cmentioning

confidence: 99%

Numerical Calculation of Turbulent Reacting Flow in a Model Gas-Turbine Combustor

Schneider

Darbandi

Ghafourizadeh

2009

41st AIAA Thermophysics Conference

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In this work, an efficient bi-implicit strategy is suitably developed within the context of a hybrid finite volume element method to solve axisymmetric turbulent reactive flow in a model gas turbine combustor. Based on the essence of a control-volume-based finiteelement method, the formulation benefits from the geometrical flexibility of the finite element methods while the discrete algebraic governing equations are derived through applying the conservation laws to discrete cells distributed in the solution domain. To enhance the efficiency of method, we extend the physical influence upwinding scheme to cylindrical coordinates. This extension helps to improve the advection flux approximations at all cell faces. Besides a high level of respecting the physics of flow, this scheme provides the necessary coupling between the velocity and pressure fields. In order to achieve a better prediction of both the transport of turbulent species and the transport of mass fraction species, the two-equation k − ǫ turbulence model and one step mixture fraction chemistry equation are solved in a semi-implicit manner. Eventually, the extended method is used to simulate reacting flow in a model gas turbine combustor. The validation of the current numerical results is fulfilled by comparing the current results with available measurements and other reliable numerical solutions.

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Section: Turbulent Axisymmetric Confined Diffusion Flame In a Model-cmentioning

confidence: 99%

Numerical Calculation of Turbulent Reacting Flow in a Model Gas-Turbine Combustor

Schneider

Darbandi

Ghafourizadeh

2009

41st AIAA Thermophysics Conference

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“…At the first step, the continuity and momentum equations are implicitly solved to calculate the pressure and velocities, respectively. At the second stage, the TKE and its dissipation rate equations are implicitly solved to calculate κ and ε (Darbandi et al , 2005). Considering the nonlinear nature of the discretized equations, it is required to iterate the extended bi‐implicit procedure until the magnitudes of the specified residuals become sufficiently low.…”

Section: Governing Equations and Computational Modellingmentioning

confidence: 99%

Firm structure of the separated turbulent shear layer behind modified backward‐facing step geometries

Darbandi

Taeibi-Rahni²,

Naderi³

2006

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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PurposeOne major challenge in turbulent flow applications is to control the recirculation zone behind the backward‐facing step (BFS). One simple idea to do so is to modify the original BFS geometry, of course, without causing adverse or undesirable impacts on the original characteristics of the primary stream. The main objective of this work is to examine the solidity of the recirculation zone behind several different geometries which are slightly to moderately different from the original BFS geometry.Design/methodology/approachThe implemented modifications cause complicated irregularities at the boundaries of the domain. The experience shows that the mesh distribution around these irregularities plays a critical role in the accuracy of the numerical solutions. To achieve the most accurate solutions with the least computational efforts, we use a robust hybrid strategy to distribute the computational grids in the domain. Additionally, a suitable numerical algorithm capable of handling hybrid grid topologies is properly extended to analyze the flow field. The current fully implicit method utilizes a physical pressure‐based upwinding scheme capable of working on hybrid mesh.FindingsThe extended algorithm is very robust and obtains very accurate solutions for the complex flow fields despite utilizing very coarse grid resolutions. Additionally, different proposed geometries revealed very similar separated regions behind the step and performed minor differences in the location of the reattachment points.Research limitations/implicationsThe current study is fulfilled two‐dimensionally. However, the measurements in testing regular BFS problems have shown that the separated shear layer behind the step is not affected by 3D influences provided that the width of channel is sufficiently wide. A similar conclusion is anticipated here.Practical implicationsThe problem occurs in the pipe and channel expansions, combustion chambers, flow over flying objects with abrupt contraction on their external surfaces, etc.Originality/valueA novel pressure‐based upwinding strategy is properly employed to solve flow on multiblocked hybrid grid topologies. This strategy takes into account the physics associated with all the transports in the flow field. To study the impact of shape improvement, several modified BFS configurations were suggested and examined. These configurations need only little additional manufacturing cost to be fabricated.

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Recommendations on Enhancing the Efficiency of Algebraic Multigrid Preconditioned GMRES in Solving Coupled Fluid Flow Equations

Vakili

Darbandi

2009

Numerical Heat Transfer, Part B: Fundamentals

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Implicit Finite Volume Method to Simulate Reacting Flow

Cited by 4 publications

References 9 publications

Numerical Calculation of Turbulent Reacting Flow in a Model Gas-Turbine Combustor

Numerical Calculation of Turbulent Reacting Flow in a Model Gas-Turbine Combustor

Firm structure of the separated turbulent shear layer behind modified backward‐facing step geometries

Recommendations on Enhancing the Efficiency of Algebraic Multigrid Preconditioned GMRES in Solving Coupled Fluid Flow Equations

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