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Lightning Solvers for Potential Flows

Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
Fluids 2020, 5(4), 227;
Received: 9 October 2020 / Revised: 18 November 2020 / Accepted: 20 November 2020 / Published: 30 November 2020
(This article belongs to the Special Issue Recent Advances in Fluid Mechanics: Feature Papers)
We present a method for computing potential flows in planar domains. Our approach is based on a new class of techniques, known as “lightning solvers”, which exploit rational function approximation theory in order to achieve excellent convergence rates. The method is particularly suitable for flows in domains with corners where traditional numerical methods fail. We outline the mathematical basis for the method and establish the connection with potential flow theory. In particular, we apply the new solver to a range of classical problems including steady potential flows, vortex dynamics, and free-streamline flows. The solution method is extremely rapid and usually takes just a fraction of a second to converge to a high degree of accuracy. Numerical evaluations of the solutions are performed in a matter of microseconds and can be compressed further with novel algorithms. View Full-Text
Keywords: potential flows; vortex dynamics; free streamlines; numerical methods potential flows; vortex dynamics; free streamlines; numerical methods
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MDPI and ACS Style

Baddoo, P.J. Lightning Solvers for Potential Flows. Fluids 2020, 5, 227.

AMA Style

Baddoo PJ. Lightning Solvers for Potential Flows. Fluids. 2020; 5(4):227.

Chicago/Turabian Style

Baddoo, Peter J. 2020. "Lightning Solvers for Potential Flows" Fluids 5, no. 4: 227.

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