Hydrodynamics beyond Navier-Stokes: exact solution to the lattice Boltzmann hierarchy |
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| Authors: | Ansumali S Karlin I V Arcidiacono S Abbas A Prasianakis N I |
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| Affiliation: | School of Chemical and Biomedical Engineering, Nanyang Technological University, 639798 Singapore, Singapore. |
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| Abstract: | The exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at nonvanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory. |
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