Accuracy of 2D Pulsatile Flow in the Lattice Boltzmann BGK Method

We present detailed analysis of the accuracy of the lattice Boltzmann BGK (LBGK) method in simulating oscillatory flow in a two dimensional channel. Flow parameters such as velocity and shear stress have been compared to the analytic solutions. Effects of different boundary conditions on the accuracy have been tested. When the flow is driven by a body force, we have observed a shift in time between the theory and the simulation, being about +0.5, which when taken into account enhances the accuracy at least one order of magnitude.

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