Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique

A. F. Abdel Gawad; N. A. Mohamed; S. A. Mohamed; M. S. Matbuly

doi:doi:10.11648/j.acm.20130201.11

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Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique

A. F. Abdel Gawad, N. A. Mohamed, S. A. Mohamed, M. S. Matbuly

Published in Applied and Computational Mathematics (Volume 2, Issue 1)

Received: 2 February 2013 Accepted: Published: 20 February 2013

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Abstract

This paper considers the turbulent-flow characteristics and the mechanism of vortex shedding behind one and two square obstacles centered inside a 2-D channel. The investigation was carried out for a range of Reynolds number (Re) from 1 to 300 with a fixed blockage ratio β = 0.25. Comparison of the flow patterns for the single and two obstacles was feasible. The computations were based on the finite-element technique. Large-eddy simulation (LES) with the Smagorinsky method was used to model the turbulent flow. Streamline patterns and velocity contours were visualized to monitor the vortex shedding. The results show that the mechanism of the vortex shedding has different characteristics for the two cases of one and two square obstacles. Interesting findings and useful conclusions were recorded.

Published in	Applied and Computational Mathematics (Volume 2, Issue 1)
DOI	10.11648/j.acm.20130201.11
Page(s)	1-13
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Channel Flow, Obstacles, Turbulence, Finite-element, LES

References

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[2]	R. de Borst, S. J. Hulshoff, S. Lenz, E. A. Munts, H. van Brummelen, and W. A. Wall, "Multiscale Methods in Com-putational Fluid and Solid Mechanics", European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2006), The Netherlands, 2006.
[3]	V. Gravemeier, M. W. Gee, M. Kronbichler, and W. A. Wall, "An Algebraic Variational Multiscale-Multigrid Method for Large Eddy Simulation of Turbulent Flow", J. Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 13-16, Pages 853-864, 2010.
[4]	P. M. Gresho, D. F. Griffiths, and D. J. Silvester, "Adaptive Time-Stepping for Incompressible Flow; Part I: Scalar Ad-vection-Diffusion", SIAM J. Sci. Comput., Vol. 30, pp. 2018-2054, 2008.
[5]	D. A. Kay, P. M. Gresho, D. F. Griffiths, and D. J. Silvester, "Adaptive Time-Stepping for Incompressible Flow, Part II: Navier-Stokes Equations", SIAM J. Sci. Comput., Vol. 32, No. 1, pp. 111-128, 2010.
[6]	V. John, and J. Rang, "Adaptive Time Step Control for the Incompressible Navier–Stokes Equations", J. Comput. Me-thods Appl. Mech. Engrg., Vol. 199, pp. 514-524, 2010.
[7]	P. Ratanadecho, "Practical Aspects of the Simulation of Two-Dimensional Flow around Obstacle with Lattice Boltzmann Method (LBM)", Thammasat Int. J. Sc. Tech., Vol. 8, No. 4, 2003.
[8]	J. Yojina1, W. Ngamsaad, N. Nuttavut, D. Triampo, Y. Len-bury, P. Kanthang, S. Sriyab, and W. Triampo, "Investigating Flow Patterns in a Channel with Complex Obstacles Using the Lattice Boltzmann Method", Journal of Mechanical Science and Technology, Vol. 24, No. 10, pp. 1-10, 2010.
[9]	S. Parvin, and R. Nasrin, "Analysis of the Flow and Heat Transfer Characteristics for MHD Free Convection in an Enclosure with a Heated Obstacle", J. Nonlinear Analysis: Modelling and Control, Vol. 16, No. 1, pp. 89–99, 2011.
[10]	T.J.R. Hughes, "Multiscale Phenomena: Green’s Functions, the Dirichlet-to-Neumann Formulation, Subgrid Scale Mod-els, Bubbles and the Origins of Stabilized Methods", Comput. Methods Appl. Mech. Engrg., 127, 387–401, 1995.
[11]	T.J.R. Hughes, G.R. Feijoo, L.Mazzei, and J. B. Quin-cy, "The Variational Multiscale Method - a Paradigm for Computational Mechanics" Comput. Methods Appl. Mech. Engrg., 166, 3–24, 1998.
[12]	T.J.R. Hughes, L. Mazzei, and K.E. Jansen, "Large Eddy Simulation and the Variational Multiscale Method", Comput. Visual. Sci., 3, 47–59, 2000.
[13]	O.C. Zienkiewicz, and R.L. Taylor, "The Finite Element Method, Vol. 1: The Basis", 5th edition, Butterworth-Heinemann, Oxford, 2000.
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APA Style

A. F. Abdel Gawad, N. A. Mohamed, S. A. Mohamed, M. S. Matbuly. (2013). Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique. Applied and Computational Mathematics, 2(1), 1-13. https://doi.org/10.11648/j.acm.20130201.11

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ACS Style

A. F. Abdel Gawad; N. A. Mohamed; S. A. Mohamed; M. S. Matbuly. Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique. Appl. Comput. Math. 2013, 2(1), 1-13. doi: 10.11648/j.acm.20130201.11

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AMA Style

A. F. Abdel Gawad, N. A. Mohamed, S. A. Mohamed, M. S. Matbuly. Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique. Appl Comput Math. 2013;2(1):1-13. doi: 10.11648/j.acm.20130201.11

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@article{10.11648/j.acm.20130201.11,
  author = {A. F. Abdel Gawad and N. A. Mohamed and S. A. Mohamed and M. S. Matbuly},
  title = {Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique},
  journal = {Applied and Computational Mathematics},
  volume = {2},
  number = {1},
  pages = {1-13},
  doi = {10.11648/j.acm.20130201.11},
  url = {https://doi.org/10.11648/j.acm.20130201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130201.11},
  abstract = {This paper considers the turbulent-flow characteristics and the mechanism of vortex shedding behind one and two square obstacles centered inside a 2-D channel. The investigation was carried out for a range of Reynolds number (Re) from 1 to 300 with a fixed blockage ratio β = 0.25. Comparison of the flow patterns for the single and two obstacles was feasible. The computations were based on the finite-element technique. Large-eddy simulation (LES) with the Smagorinsky method was used to model the turbulent flow. Streamline patterns and velocity contours were visualized to monitor the vortex shedding. The results show that the mechanism of the vortex shedding has different characteristics for the two cases of one and two square obstacles. Interesting findings and useful conclusions were recorded.},
 year = {2013}
}

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TY  - JOUR
T1  - Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique
AU  - A. F. Abdel Gawad
AU  - N. A. Mohamed
AU  - S. A. Mohamed
AU  - M. S. Matbuly
Y1  - 2013/02/20
PY  - 2013
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DO  - 10.11648/j.acm.20130201.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 1
EP  - 13
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130201.11
AB  - This paper considers the turbulent-flow characteristics and the mechanism of vortex shedding behind one and two square obstacles centered inside a 2-D channel. The investigation was carried out for a range of Reynolds number (Re) from 1 to 300 with a fixed blockage ratio β = 0.25. Comparison of the flow patterns for the single and two obstacles was feasible. The computations were based on the finite-element technique. Large-eddy simulation (LES) with the Smagorinsky method was used to model the turbulent flow. Streamline patterns and velocity contours were visualized to monitor the vortex shedding. The results show that the mechanism of the vortex shedding has different characteristics for the two cases of one and two square obstacles. Interesting findings and useful conclusions were recorded.
VL  - 2
IS  - 1
ER  -

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Author Information

A. F. Abdel Gawad

Professor of Mechanical Power Engineering, Faculty of Engineering, Zagazig University, Egypt
N. A. Mohamed

Lecturer, Faculty of Engineering, Zagazig University, Egypt
S. A. Mohamed

Professor of Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt
M. S. Matbuly

Professor of Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt

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APA Style

A. F. Abdel Gawad, N. A. Mohamed, S. A. Mohamed, M. S. Matbuly. (2013). Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique. Applied and Computational Mathematics, 2(1), 1-13. https://doi.org/10.11648/j.acm.20130201.11

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ACS Style

A. F. Abdel Gawad; N. A. Mohamed; S. A. Mohamed; M. S. Matbuly. Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique. Appl. Comput. Math. 2013, 2(1), 1-13. doi: 10.11648/j.acm.20130201.11

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AMA Style

A. F. Abdel Gawad, N. A. Mohamed, S. A. Mohamed, M. S. Matbuly. Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique. Appl Comput Math. 2013;2(1):1-13. doi: 10.11648/j.acm.20130201.11

Copy | Download

@article{10.11648/j.acm.20130201.11,
  author = {A. F. Abdel Gawad and N. A. Mohamed and S. A. Mohamed and M. S. Matbuly},
  title = {Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique},
  journal = {Applied and Computational Mathematics},
  volume = {2},
  number = {1},
  pages = {1-13},
  doi = {10.11648/j.acm.20130201.11},
  url = {https://doi.org/10.11648/j.acm.20130201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130201.11},
  abstract = {This paper considers the turbulent-flow characteristics and the mechanism of vortex shedding behind one and two square obstacles centered inside a 2-D channel. The investigation was carried out for a range of Reynolds number (Re) from 1 to 300 with a fixed blockage ratio β = 0.25. Comparison of the flow patterns for the single and two obstacles was feasible. The computations were based on the finite-element technique. Large-eddy simulation (LES) with the Smagorinsky method was used to model the turbulent flow. Streamline patterns and velocity contours were visualized to monitor the vortex shedding. The results show that the mechanism of the vortex shedding has different characteristics for the two cases of one and two square obstacles. Interesting findings and useful conclusions were recorded.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Investigation of the Channel Flow with Internal Obstacles Using Large Eddy Simulation and Finite-Element Technique
AU  - A. F. Abdel Gawad
AU  - N. A. Mohamed
AU  - S. A. Mohamed
AU  - M. S. Matbuly
Y1  - 2013/02/20
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130201.11
DO  - 10.11648/j.acm.20130201.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 1
EP  - 13
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130201.11
AB  - This paper considers the turbulent-flow characteristics and the mechanism of vortex shedding behind one and two square obstacles centered inside a 2-D channel. The investigation was carried out for a range of Reynolds number (Re) from 1 to 300 with a fixed blockage ratio β = 0.25. Comparison of the flow patterns for the single and two obstacles was feasible. The computations were based on the finite-element technique. Large-eddy simulation (LES) with the Smagorinsky method was used to model the turbulent flow. Streamline patterns and velocity contours were visualized to monitor the vortex shedding. The results show that the mechanism of the vortex shedding has different characteristics for the two cases of one and two square obstacles. Interesting findings and useful conclusions were recorded.
VL  - 2
IS  - 1
ER  -

Copy | Download