LBM Simulations for the Head-on Collisions of Vortex Pairs and Vortices-Wall Interactions in Two Dimensions

ORAL

Abstract

Vortex dynamics has been studied in two dimensions with lattice Botzmann method for the basic interactions of vortices. With different off-center distances the head-on collisions of two equal pairs of vortices(two dipoles) different regimes have been found: exchanging, merging and diffracting. Meanwhile the interactions of a vortex dipole with solid wall have been also investigated and comparison with existing experiments has been shown certain agreement. More complicated cases for three dimensions are left for future works.

*This research is support in part by the grant of Education Ministry of China IRT0844 and the grant of Shanghai CST 11XD1402300 and that of Leading Scientists.

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Authors

  • Yuxian Xia

    • Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072

  • YueHong Qian

    • Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China, 200072
    • Institute of Applied Mathematics and Mechanics, Shanghaqi University, Shanghai, 200072