It's a known fact that like other methods Lattice-Boltzmann method is used to simulate the flow but unlike other conventional methods like Finite Difference Method, Finite Volume Method, etc., how effective is the Lattice-Boltzmann method? How much accurately it can simulate the separating or adverse pressure gradient flows?
I Hope these papers to help you.
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Comparison of the Finite Volume and Lattice Boltzmann Methods for Solving Natural Convection Heat Transfer Problems inside Cavities and Enclosures( http://downloads.hindawi.com/journals/aaa/2014/762184.pdf)
COMPARISON OF ACCURACY AND PERFORMANCE FOR LATTICE BOLTZMANN AND FINITE DIFFERENCE SIMULATIONS OF STEADY VISCOUS FLOW(http://onlinelibrary.wiley.com/doi/10.1002/%28SICI%291097-0363%2819960715%2923:1%3C1::AID-FLD404%3E3.0.CO;2-V/pdf)
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