NUMERICAL INVESTIGATION OF LID-DRIVEN CAVITY FLOW BASED ON TWO DIFFERENT METHODS: LATTICE BOLTZMANN AND SPLITTING METHODS

Authors

  • Nor Azwadi Che Sidik Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor
  • Kahar Osman Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor
  • Ahmad Zahran Khudzairi Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor
  • Zamani Ngali Faculty of Mechanical and Manufacturing Engineering, Universiti Tun Hussein Onn Malaysia, 84000 Batu Pahat, Johor

Keywords:

Lattice Boltzmann method, splitting method, distribution function, SIMPLE, lid-driven cavity problem

Abstract

Solutions to the Navier Stokes equations have been pursued by many researchers. One of the recent methods is lattice Boltzmann method, which evolves from Lattice Gas Automata, simulates fluid flows by tracking the evolution of the single particle distribution. Another method to solve fluid flow problems is by splitting the Navier Stokes equations into linear and non-linear forms, also known as splitting method. In this study, results from uniform and stretched form of splitting method are compared with results from lattice Boltzmann method. Lid-driven cavity problem at various Reynold numbers is used as a numerical test case.

References

Karniadakis, G., Israeli, K., Orszag, S.,1991. High-Order Splitting Methods for the Incompressible Navier-Stokes Equations, J. Comp. Phy. 97, 414-443.

He, X., Luo, L.S., 1997. Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation, J. Stat. Phys. 88, 927-944.

Sidik, N.A.C., Tanahashi, T., 2006. Simplified Thermal Lattice Boltzmann in Incompressible Limit, Intl. J. Mod. Phys. C 20, 2437-2449.

Ngali, M.Z., Sidik, N.A.C., Osman, K., Khudzairi, A.Z.M., 2007. Solution to Navier-Stokes Equation for Lid-driven Cavity Problem; Comparison between Lattice Boltzmann and Splitting Method, Proceeding of Regional Conference on Engineering Mathematics, Mechanics, Manufacturing & Architecture, Malaysia.

Osman, K., 2004. Multiple Steady Solutions and Bifurcations in the Symmetric Driven Cavity, Ph.D Thesis, Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, Malaysia.

Anderson, D.A., Tannehill, J.C., Pletcher, R.H., 1984. Computational Fluid Mechanics and Heat Transfer. Taylor and Francis.

Bhatnagar, P.L., Gross, E.P., Krook, M., 1954. Model for Collision Processes in Gasses, Phys. Rev. 94, 511-525.

Sidik, N.A.C., Tanahashi, T., 2006. Simplified Thermal Lattice Boltzmann in Incompressible Limit, Proceeding of 11th Asian Congress of Fluid Mechanics, Malaysia.

Ghia, U., Ghia, K.N., Shin, C.Y., 1982. High-Re solutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method, J. Comp. Phys. 48, 387-411.

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Published

2018-04-09

How to Cite

Che Sidik, N. A., Osman, K., Khudzairi, A. Z., & Ngali, Z. (2018). NUMERICAL INVESTIGATION OF LID-DRIVEN CAVITY FLOW BASED ON TWO DIFFERENT METHODS: LATTICE BOLTZMANN AND SPLITTING METHODS. Jurnal Mekanikal, 25(1). Retrieved from https://jurnalmekanikal.utm.my/index.php/jurnalmekanikal/article/view/149

Issue

Section

Mechanical

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