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Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder. (English) Zbl 0886.76072
Using an interpolation-based strategy, the lattice Boltzmann method is extended to general curvilinear coordinate systems. As an example, a cylindrical coordinate system is used to simulate two-dimensional flow around a circular cylinder. Numerical simulations are carried out for impulsive initial conditions with Reynolds numbers up to $$10^4$$. The agreement of our results with previous computational and experimental results is satisfactory.

##### MSC:
 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76D99 Incompressible viscous fluids 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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