Artificial compressibility method on half-staggered grid for laminar radiative diffusion flames in axisymmetric coordinates

Fathi, Mohamad; Lessani, Bamdad; Tabejamaat, Sadegh

doi:10.1080/10407790.2017.1400316

Cited by 6 publications

(2 citation statements)

References 35 publications

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“…As far as reacting flows are concerned, the artificial compressibility method was extended so as to deal with steady (Bruel et al [2]) and unsteady turbulent premixed flames (Corvellec et al [5], Dourado et al [6]) as well as laminar confined and unconfined diffusion flames (Fathi et al [7], Bianchin et al [8]).…”

Section: Introductionmentioning

confidence: 99%

Some Specific Aspects Related To The Use Of The Artificial Compressibility Methods To Simulate Unsteady Flows

Donini¹,

Fachini²,

Cristaldo³

et al. 2020

World Congress on Momentum, Heat and Mass Transfer

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The artificial compressibility method is applied to simulate non-reactive and reactive flows with incompressible and infiniterate chemistry assumptions. To validate the implemented time-accurate approach, the resulting code is used to calculate three different flow regimes: an unsteady non-reactive flow past a circular cylinder, a steady diffusion Tsuji flame and an unsteady buoyant diffusion flame. As expected, the results evidence the strong dependence of the convergence rate to the artificial compressibility factor. They also show the ability of this approach to describe the circular cylinder wake unsteadiness as well as the flame shape of the steady diffusion flame. In return, the correct prediction of the low-frequency instability known to be featured by unsteady buoyant diffusion flames is presently out of reach of the present version of the methodology.

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Section: Introductionmentioning

confidence: 99%

Some Specific Aspects Related To The Use Of The Artificial Compressibility Methods To Simulate Unsteady Flows

Donini¹,

Fachini²,

Cristaldo³

et al. 2020

World Congress on Momentum, Heat and Mass Transfer

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“…Among those, UNIFAES has been demonstrating excellent accuracy and stability, [27][28][29][30][31] with moderate increase of computational complexity compared to the simple exponential. The semi-staggered mesh, 32,33 also called half-staggered [34][35][36] or hybrid staggered, [37][38][39] uses vertex co-located velocity components and cell-centered pressure nodes. A particular feature of the semi-staggered mesh of specific interest of the present work, is that it can be entirely regular in planes inclined to the Cartesian axis if the cell aspect ratio can be appropriately chosen.…”

mentioning

confidence: 99%

A semi‐staggered finite volume approach applied to two‐ and three‐dimensional flow in channels with gradual expansions

Nascimento

Rodrigues

Figueiredo

2021

Numerical Methods in Fluids

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Two-and three-dimensional computations have been performed to study incompressible laminar flow of viscous fluids in symmetric channels with gradual expansions. The divergent form advective and viscous terms of Navier-Stokes equations are discretized by means of the UNIFAES scheme, which has been showing unpaired accuracy. Explicit time-wise integration allows continuity to be imposed via the Poisson equation for the pressure, solved iteratively with several iterations per velocity step in order to ensure mass conservation throughout the transient regime. The proposed finite volume approach uses the semi-staggered mesh structure, in which pressure is put at the center of the continuity cell and the velocity components at the cell vertexes. Comparative studies have shown this mesh to be highlighted by accuracy, in relation to the traditional, staggered and collocated meshes. Furthermore, it was observed that the semi-staggered mesh allowed to treat a plane diverging channel in entirely regular fashion without losing accuracy, by appropriate choice of the aspect ratio of the numerical cell, providing geometrical flexibility that does not exist in more common meshes, such as staggered and collocated structures. The present proposal explored the geometric flexibility of the semi-staggered mesh to solve with simplicity a relevant problem of a channel with gradual expansion. Overall, good agreement was observed against experimental and numerical results in the literature, therefore, it illustrates the capability of the semi-staggered approach to easily handle flat surfaces nonparallel to the coordinates axes. K E Y W O R D Sasymmetric flow, CFD, finite volumes, gradual expansion, numerical methods, semi-staggered mesh INTRODUCTIONChannels with increasing sectional area, or diffusers, are important components of devices such as valves, flow meters, and flux machines, as well as of geophysical flows and blood circulation. Due to the increasing area, the flow is decelerated, so increasing the pressure. This adverse pressure gradient may induce flow separation from walls generating recirculation regions, therefore causing high pressure losses and deteriorating the role of the channel.

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Numerical assessment of finite volume schemes for incompressible viscous flows on non-staggered meshes

Rodrigues

Nascimento

Figueiredo

2021

J Braz. Soc. Mech. Sci. Eng.

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Artificial compressibility method on half-staggered grid for laminar radiative diffusion flames in axisymmetric coordinates

Cited by 6 publications

References 35 publications

Some Specific Aspects Related To The Use Of The Artificial Compressibility Methods To Simulate Unsteady Flows

Some Specific Aspects Related To The Use Of The Artificial Compressibility Methods To Simulate Unsteady Flows

A semi‐staggered finite volume approach applied to two‐ and three‐dimensional flow in channels with gradual expansions

Numerical assessment of finite volume schemes for incompressible viscous flows on non-staggered meshes

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