This thesis deals with the lattice-Boltzmann method (LBM) in combination with other methods to solve thermal flow problems. The three primary, current approaches for thermal lattice-Boltzmann method (TLBM) will be introduced. The three approaches are the multispeed approach by McNamara and Alder , the passive scalar approach by Shan, and the thermal distribution model proposed by He et al. Shi et al. simplified the thermal distribution model for incompressible thermal flows. The model proposed by Shi et al. was simulated and compared to a hybrid LBM and energy equation model proposed by Khiabani et al. The thermal lattice-Boltzmann method will be compared to the temperature fields generated by the energy equation of the hybrid method. To determine which method is better suited from computer simulations the two will be compared for computational demands, and the speed of both convergence and computation.