Corpus ID: 209862228

A calculus for flows in periodic domains

@inproceedings{Baddoo2020ACF,
  title={A calculus for flows in periodic domains},
  author={P J Baddoo and Lorna J. Ayton},
  year={2020}
}
  • P J Baddoo, Lorna J. Ayton
  • Published 2020
  • Physics, Mathematics
  • We present a constructive procedure for the calculation of 2-D potential flows in periodic domains with multiple boundaries per period window. 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 bounded. In each case… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 59 REFERENCES

    A new calculus for two-dimensional vortex dynamics

    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains

    • Darren Crowdy
    • Mathematics
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    • 2005
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Solving problems in multiply connected domains

    • D. G. Crowdy
    • SIAM CBMS-NSF Regional Conference Series in Applied Mathematics,
    • 2020
    VIEW 1 EXCERPT

    Periodic Schwarz–Christoffel mappings with multiple boundaries per period

    VIEW 2 EXCERPTS

    A

    • D. Darakananda
    • F. de C. da Silva, T. Colonius, and J. D. Eldredge. Data-assimilated low-order vortex modeling of separated flows. Phys. Rev. Fluids, 3(12):124701,
    • 2018
    VIEW 1 EXCERPT