Use of a pressure-weighted interpolation method for the solution of the incompressible navier-stokes equations on a nonstaggered grid system

T. F. Miller; F. W. Schmidt

doi:10.1080/10407788808913641

Use of a pressure-weighted interpolation method for the solution of the incompressible navier-stokes equations on a nonstaggered grid system

T. F. Miller, F. W. Schmidt

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Abstract

A detailed study of the pressure-weighted interpolation method (PWIM) using a non-staggered grid proposed by Rhie and Chow [7] was conducted. Its implementation in the SIMPLEC algorithm in order to obtain results independent of relaxation factor is described. A comparison of predicted results for two test cases, one a flow in a shear-driven cavity and the other a laminar contraction flow, was made using both staggered and nonstaggered grids. Both hybrid and QUICK differencing schemes were used. QUICK differencing with a nonstaggered grid yielded results in closest agreement with experimental and numerical data. It was also found that in regions of very rapidly varying pressure gradients, PWIM can predict physically unrealistic convective velocities.

Original language	English (US)
Pages (from-to)	213-233
Number of pages	21
Journal	Numerical Heat Transfer
Volume	14
Issue number	2
DOIs	https://doi.org/10.1080/10407788808913641
State	Published - Sep 1988

All Science Journal Classification (ASJC) codes

General Engineering

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10.1080/10407788808913641

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title = "Use of a pressure-weighted interpolation method for the solution of the incompressible navier-stokes equations on a nonstaggered grid system",

abstract = "A detailed study of the pressure-weighted interpolation method (PWIM) using a non-staggered grid proposed by Rhie and Chow [7] was conducted. Its implementation in the SIMPLEC algorithm in order to obtain results independent of relaxation factor is described. A comparison of predicted results for two test cases, one a flow in a shear-driven cavity and the other a laminar contraction flow, was made using both staggered and nonstaggered grids. Both hybrid and QUICK differencing schemes were used. QUICK differencing with a nonstaggered grid yielded results in closest agreement with experimental and numerical data. It was also found that in regions of very rapidly varying pressure gradients, PWIM can predict physically unrealistic convective velocities.",

author = "Miller, {T. F.} and Schmidt, {F. W.}",

note = "Funding Information: This study was supported by the Applied Research Laboratory of the Pennsylvania State University. The pmgrarn was monitored by D. H. Kiely.",

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AB - A detailed study of the pressure-weighted interpolation method (PWIM) using a non-staggered grid proposed by Rhie and Chow [7] was conducted. Its implementation in the SIMPLEC algorithm in order to obtain results independent of relaxation factor is described. A comparison of predicted results for two test cases, one a flow in a shear-driven cavity and the other a laminar contraction flow, was made using both staggered and nonstaggered grids. Both hybrid and QUICK differencing schemes were used. QUICK differencing with a nonstaggered grid yielded results in closest agreement with experimental and numerical data. It was also found that in regions of very rapidly varying pressure gradients, PWIM can predict physically unrealistic convective velocities.

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Use of a pressure-weighted interpolation method for the solution of the incompressible navier-stokes equations on a nonstaggered grid system

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