Abstract
A hybrid method of continuum and particle dynamics is developed for micro- and nano-fluidics, where fluids are described by a molecular dynamics (MD) in one domain and by the Navier–Stokes (NS) equations in another domain. In order to ensure the continuity of momentum flux, the continuum and molecular dynamics in the overlap domain are coupled through a constrained particle dynamics. The constrained particle dynamics is constructed with a virtual damping force and a virtual added mass force. The sudden-start Couette flows with either non-slip or slip boundary condition are used to test the hybrid method. It is shown that the results obtained are quantitatively in agreement with the analytical solutions under the non-slip boundary conditions and the full MD simulations under the slip boundary conditions.
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Acknowledgments
G. W. He would like to thank Prof. S. Y. Chen for his help on the work.
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The project supported by Chinese Academy of Sciences under the innovative project “Multi-scale modelling and simulation in complex system” (KJCX-SW-L08) and National Natural Science Foundation of China (10325211).
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Cui, J., He, G. & Qi, D. A constrained particle dynamics for continuum-particle hybrid method in micro- and nano-fluidics. Acta Mech Sin 22, 503–508 (2006). https://doi.org/10.1007/s10409-006-0034-5
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DOI: https://doi.org/10.1007/s10409-006-0034-5