Analysis on Computational Efficiency of Convection Discretisation Schemes in SIMPLE Algorithm

Authors

  • Wah Yen Tey Department of Mechanical Engineering, Faculty of Engineering, 1, Jalan Puncak Menara Gading, Taman Connaught, 56000 Kuala Lumpur, Wilayah Persekutuan Kuala Lumpur UCSI University, Kuala Lumpur, Malaysia
  • Ryan Yuen Wye Hong Department of Mechanical Engineering, Faculty of Engineering, 1, Jalan Puncak Menara Gading, Taman Connaught, 56000 Kuala Lumpur, Wilayah Persekutuan Kuala Lumpur UCSI University, Kuala Lumpur, Malaysia
  • Yutaka Asako Malaysia-Japan International Institute of Technology Malaysia, UTM Kuala Lumpur, Jalan Sultan Yahya Petra, Kampung Datuk Keramat, 54100 Kuala Lumpur, Kuala Lumpur, Malaysia
  • Hooi Siang Kang Marine Technology Centre, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia
  • Khai Ching Ng School of Engineering, Taylor’s University, Lakeside Campus, 1, Jalan Taylors, 47500 Subang Jaya, Selangor, Malaysia

Keywords:

ANSYS fluent, discretisation of convection term, first order upwind, second order upwind, power-law, QUICK

Abstract

Computational Fluid Dynamics (CFD) is widely used to investigate heat transfer, fluid flow, chemical reaction and mass transfer phenomenon. While solving the Navier-Stokes equations, the convection term is always prone to numerical instability and therefore the discretisation of the convection term requires special attention. The performance of various convection schemes had been previously performed on one-dimensional convection-diffusion problem. Nevertheless, the numerical errors of these convection schemes are more pronounced in higher-dimensional problems especially those involving pressure term and flow recirculation. In this paper, the performances of convection schemes such as first order upwind differencing, second order upwind differencing, Quadratic Upstream Interpolation for Convective Kinematics (QUICK) and power-law schemes are investigated on the two-dimensional lid-driven flow problem in a square cavity. By using commercial CFD software ANSYS Fluent, the consistency, efficiency and accuracy of the results due to different convection schemes are compared. It is found that although the power-law scheme is the best in terms of iterative convergence rate, it is not accurate especially for high Re-flow. Higher order scheme such as QUICK is very accurate; however, its convergence rate is the lowest.

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Published

2020-12-16

How to Cite

Yen Tey, W. ., Wye Hong, R. Y. ., Asako, Y. ., Siang Kang, H. ., & Ching Ng, K. . (2020). Analysis on Computational Efficiency of Convection Discretisation Schemes in SIMPLE Algorithm. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 58(1), 100–117. Retrieved from https://www.akademiabaru.com/submit/index.php/arfmts/article/view/100-117
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