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Volume 9, Issue 3
A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows

Dinesh A. Shetty, Jie Shen, Abhilash J. Chandy & Steven H. Frankel

DOI: 10.4208/cicp.301109.040310s

Commun. Comput. Phys., 9 (2011), pp. 740-755.

Published online: 2011-03

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  • Abstract

The rotational incremental pressure-correction (RIPC) scheme, described in Timmermans et al. [Int. J. Numer. Methods. Fluids., 22 (1996)] and Shen et al. [Math. Comput., 73 (2003)] for non-rotational Navier-Stokes equations, is extended to rotating incompressible flows. The method is implemented in the context of a pseudo Fourier-spectral code and applied to several rotating laminar and turbulent flows. The performance of the scheme and the computational results are compared to the so-called diagonalization method (DM) developed by Morinishi et al. [Int. J. Heat. Fluid. Flow., 22 (2001)]. The RIPC predictions are in excellent agreement with the DM predictions, while being simpler to implement and computationally more efficient. The RIPC scheme is not in anyway limited to implementation in a pseudo-spectral code or periodic boundary conditions, and can be used in complex geometries and with other suitable boundary conditions.

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@Article{CiCP-9-740, author = {Dinesh A. Shetty, Jie Shen, Abhilash J. Chandy and Steven H. Frankel}, title = {A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {3}, pages = {740--755}, abstract = {

The rotational incremental pressure-correction (RIPC) scheme, described in Timmermans et al. [Int. J. Numer. Methods. Fluids., 22 (1996)] and Shen et al. [Math. Comput., 73 (2003)] for non-rotational Navier-Stokes equations, is extended to rotating incompressible flows. The method is implemented in the context of a pseudo Fourier-spectral code and applied to several rotating laminar and turbulent flows. The performance of the scheme and the computational results are compared to the so-called diagonalization method (DM) developed by Morinishi et al. [Int. J. Heat. Fluid. Flow., 22 (2001)]. The RIPC predictions are in excellent agreement with the DM predictions, while being simpler to implement and computationally more efficient. The RIPC scheme is not in anyway limited to implementation in a pseudo-spectral code or periodic boundary conditions, and can be used in complex geometries and with other suitable boundary conditions.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301109.040310s}, url = {http://global-sci.org/intro/article_detail/cicp/7519.html} }
TY - JOUR T1 - A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows AU - Dinesh A. Shetty, Jie Shen, Abhilash J. Chandy & Steven H. Frankel JO - Communications in Computational Physics VL - 3 SP - 740 EP - 755 PY - 2011 DA - 2011/03 SN - 9 DO - http://doi.org/10.4208/cicp.301109.040310s UR - https://global-sci.org/intro/article_detail/cicp/7519.html KW - AB -

The rotational incremental pressure-correction (RIPC) scheme, described in Timmermans et al. [Int. J. Numer. Methods. Fluids., 22 (1996)] and Shen et al. [Math. Comput., 73 (2003)] for non-rotational Navier-Stokes equations, is extended to rotating incompressible flows. The method is implemented in the context of a pseudo Fourier-spectral code and applied to several rotating laminar and turbulent flows. The performance of the scheme and the computational results are compared to the so-called diagonalization method (DM) developed by Morinishi et al. [Int. J. Heat. Fluid. Flow., 22 (2001)]. The RIPC predictions are in excellent agreement with the DM predictions, while being simpler to implement and computationally more efficient. The RIPC scheme is not in anyway limited to implementation in a pseudo-spectral code or periodic boundary conditions, and can be used in complex geometries and with other suitable boundary conditions.

Dinesh A. Shetty, Jie Shen, Abhilash J. Chandy and Steven H. Frankel. (2011). A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows. Communications in Computational Physics. 9 (3). 740-755. doi:10.4208/cicp.301109.040310s
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