A calculus for flows in periodic domains

@article{Baddoo2020ACF,
  title={A calculus for flows in periodic domains},
  author={Peter J. Baddoo and Lorna J. Ayton},
  journal={Theoretical and Computational Fluid Dynamics},
  year={2020},
  volume={35},
  pages={145 - 168}
}
  • P. BaddooL. Ayton
  • Published 3 January 2020
  • Mathematics
  • Theoretical and Computational Fluid Dynamics
Purpose: We present a constructive procedure for the calculation of 2-D potential flows in periodic domains with multiple boundaries per period window. Methods: The solution requires two steps: (i) a conformal mapping from a canonical circular domain to the physical target domain, and (ii) the construction of the complex potential inside the circular domain. All singly periodic domains may be classified into three distinct types: unbounded in two directions, unbounded in one direction, and… 

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