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**Flow simulations using two dimensional thermal lattice Boltzmann method.**
*(English)*
Zbl 1244.76100

Summary: Lattice Boltzmann method is implemented to study hydrodynamically and thermally developing steady laminar flows in a channel. Numerical simulation of two-dimensional convective heat transfer problem is conducted using two-dimensional, nine directional D2Q9 thermal lattice Boltzmann arrangements. The velocity and temperature profiles in the developing region predicted by lattice Boltzmann method are compared against those obtained by ANSYS-FLUENT. Velocity and temperature profiles as well as the skin friction and the Nusselt numbers agree very well with those predicted by the self-similar solutions of fully developed flows. It is clearly shown here that thermal lattice Boltzmann method is an effective computational fluid dynamics (CFD) tool to study nonisothermal flow problems.

### MSC:

76M28 | Particle methods and lattice-gas methods |

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\textit{S. J. Almalowi} and \textit{A. Oztekin}, J. Appl. Math. 2012, Article ID 135173, 12 p. (2012; Zbl 1244.76100)

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### References:

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