An incompressible double distribution thermal lattice-Boltzmann model
considering the pressure distribution and energy density distribution as the elementary evolution variables
is presented to solve the weak compressibility at low Mach number of the previous model. The numerical results of the natural convection in an enclosure square cavity in this model agree well with the commonly accepted numerical solutions. And the real-time development of the flow and heat transfer is reported and discussed. The results show that as Raylaigh number increases
the flow field gets more complicated
and the heat transfer near the walls at high and low temperature becomes more intensively. The pressure symmetrically distributes with a valley at the center of the cavity and peaks near the horizontal walls.
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references
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