Abstract
The standard lattice Boltzmann method has only been applied to the uniform structured grid so far. This limitation can be removed by discretization of the position as well as the velocity space separately. In the present study the generalized coordinate is introduced to transform the lattice Boltzmann Equation (LBE) from physical domain to computational domain. This method uses the finite difference method to discrete the local derivatives in computational space. The central scheme uses to estimate the convection term. The generalized coordinate transformation method introduced in this study has been validated against a sample case study. For this purpose, an unsteady Couette flow between two cylinders has been examined. Good agreement between most of the results of this study and the available data in the literature is reached. The source of some discrepancies between the current results and available data seems to be due to discretization method used in present work to calculate the Jacobian and metrics of transformation matrix.
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