A Pressure-Correction Method for Solving Fluid Flow Problems on a Collocated Grid

Rahman, Mizanur; Siikonen, Timo; Miettinen, Ari

doi:10.1080/10407799708914999

Cited by 28 publications

(5 citation statements)

References 28 publications

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“…The continuity and momentum equations are coupled using the transient SIMPLE-type algorithm. To avoid the generation of a checker-board pressure mode, a modified Rhie-Chow velocity interpolation method at the cell faces is used (Rahman et al, 1996(Rahman et al, , 1997. A second-order upwind flux-difference splitting scheme for convective terms and a central differencing scheme for diffusion terms are applied.…”

Section: Numerical Schemesmentioning

confidence: 99%

Large eddy simulation of a high-pressure homogenizer valve

Taghinia

Rahman

Siikonen

2015

Chemical Engineering Science

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Section: Numerical Schemesmentioning

confidence: 99%

Large eddy simulation of a high-pressure homogenizer valve

Taghinia

Rahman

Siikonen

2015

Chemical Engineering Science

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“…A Pressure Implicit Splitting of Operators (PISO) algorithm with two corrector steps is used to couple the velocity and the pressure which ensures the mass conservation. A modified Rhie-Chow velocity interpolation method [26,27] at the cell faces is used for the pressure gradient terms to avoid pressure oscillations due to the collocated grid arrangement. Second-order central-difference schemes are used to discretize the convective and diffusive terms.…”

Section: Computational Schemes and Settingsmentioning

confidence: 99%

Numerical simulation of airflow and temperature fields around an occupant in indoor environment

Taghinia

Rahman

Siikonen

2015

Energy and Buildings

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“…the PLDS proposed by Patankar In] takes the following equation for Je: (14) where (17) In addition, the discretization of diffusion term also depends on Pe: for IPel _< 2, central difference is adopted, while for IPel > 2, the diffusion term is totally neglected.…”

Section: Axrmentioning

confidence: 99%

“…These are momentum interpolation method [12's], finite different scheme based nonstaggered grid by Thiart [9], pressure gradient interpolation method by Date [1°] and pressure correction method by Date [13] and Rahman et al [14]. The SIMPLE-like algorithms were also originally devised for the staggered grid arrangement in] .…”

mentioning

confidence: 99%

Six convective difference schemes on different grid systems for fluid flow and heat transfer with SIMPLE algorithm

Tao

1999

J. of Therm. Sci.

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Performance comparisons are composed of two parts: the first part contains the systematically investigation of six difference schemes including CDS, FUDS, HDS, PLDS, SUDS and QUICK for convection terms in numerical fluid flow and heat transfer based on the finite volume method using staggered and Rhie-Chow's momentum interpolation collocated grids, the second part contains the comparative computations being conducted on Rhie-Chow's momentum interpolation collocated grid and Thiart's finite difference scheme based nonstaggered grid. Three 3-D cases that have analytical or benchmark solutions are adopted. For the first part, the results of computations indicate that, all the six schemes have the same numerical accuracy when the diffusion term is predominant. With the increase of convection, the FUDS, HDS and PLDS almost have the same accuracy in two of those grid systems, while the SUDS and QUICK have higher accuracy than the former. The accuracy of CDS is something in between. For the same under-relaxation factors and convergence criterion, the convergence rate of each scheme on those two grid systems are nearly equal with that on the staggered grid being a little bit faster. For QUICK and CDS, smooth, non-oscillating solutions can be obtained even when local Peclet number may be as large as 31.2~31.3. For the second part, it is concluded that simplified collocated grid system is preferable from numerical accuracy, grid Peclet number limit, sensitivity to the underrelaxation factor and the freedom in choosing finite difference scheme for convection term. K e y w o r d s : computational fluid d y n a m i c s , s t a g g e r e d g r i d , c o l l o c a t e d g r i d , d i f f e r e n c e s c h e m e . I N T R O D U C T I O N T h e evaluations of the d e p e n d e n t variables at the cell faces are sensitive to the achievement of accur a t e and economical numerical solutions of fluid flow Received, 1999. in the finite volume m e t h o d w i t h b o t h staggered a n d collocated grids, and m a n y difference schemes were p r o p o s e d for this purpose during the p a s t decades. A m o n g t h e m there are several ones being widely used, discussed a n d investigated concerning t h e i r numer-icM p e r f o r m a n c e a n d / o r characteristics [1~5]. These schemes are central difference s c h e m e ( C D S ) , first-

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A Pressure-Correction Method for Solving Fluid Flow Problems on a Collocated Grid

Cited by 28 publications

References 28 publications

Large eddy simulation of a high-pressure homogenizer valve

Large eddy simulation of a high-pressure homogenizer valve

Numerical simulation of airflow and temperature fields around an occupant in indoor environment

Six convective difference schemes on different grid systems for fluid flow and heat transfer with SIMPLE algorithm

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