A consistent treatment of moving boundaries with thermal convection for lattice Boltzmann method

Particulate flows with thermal convection exist widely, and the lattice Boltzmann method is proved to be an accurate and efficient solver. Two issues are crucial, namely, the treatment of the velocity and temperature boundaries at the particle surface and the initialization of the fresh fluid nodes due to the movement of the particle. However, these two issues are treated separately, and the inconsistency decreases the numerical accuracy and stability. Thus, a consistent treatment of these two issues is presented, which includes the prediction and correction steps, and it is validated by four numerical experiments. The present method is of the second-order accuracy, and it provides a consistent treatment for particulate flows with thermal convection.