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Computation of plane potential flow in multiply connected domains

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CATW04 - Complex analysis: techniques, applications and computations - perspectives in 2023

We will give an overview of recent progress computing plane potential flow in multiply connected domains in the complex plane using numerical conformal mapping. The conformal map from a conformally equivalent domain with circular boundaries to a given physical domain is computed. The potential flow is then computed in the circle domain using either the Schottky-Klein prime function or methods based on Laurent series and mapped back to the physical domain. Examples will be presented, including flow over multi-element airfoils. This is joint work with Christopher C. Green. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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