Journal of Northeastern University Natural Science ›› 2017, Vol. 38 ›› Issue (4): 522-526.DOI: 10.12068/j.issn.1005-3026.2017.04.014

• Materials & Metallurgy • Previous Articles     Next Articles

Simulation of Natural Convection in Square Porous Cavity Based on Chebyshev Spectral Method

CHEN Yuan-yuan1,2, LI Ben-wen3, ZHANG Jing-kui2   

  1. 1. Key Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110819, China; 2. The State Key Laboratory of Refractories and Metallurgy, Wuhan University of Science and Technology, Wuhan 430081, China; 3. School of Energy & Power Engineering, Dalian University of Technology, Dalian 116024, China.
  • Received:2015-11-16 Revised:2015-11-16 Online:2017-04-15 Published:2017-04-11
  • Contact: LI Ben-wen
  • About author:-
  • Supported by:
    -

Abstract: The Chebyshev spectral collocation method (CSCM) was used to simulate natural convection in the square porous cavity under a local thermal equilibrium condition. Using the Chebyshev-Gauss-Lobatto collocation points, the dimensionless govering equations can be spatially discredited. The matrix diagonalization method was used to solve these discredited equations. The simulation results were in well agreement with the existing data. Meanwhile, the exact solutions were further constructed to valid the method and the CSCM effectiveness was proved. Finally, the effects of Rayleigh number on the streamlines, the isotherms and the Nusselt number were studied based on the CSCM simulations.

Key words: Chebyshev spectral collocation method, porous media, natural convection, local thermal equilibrium, numerical simulation

CLC Number: