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On the Kutta Condition in Compressible Flow over Isolated Airfoils

Zienkiewicz Centre for Computational Engineering, College of Engineering, Bay Campus, Swansea University, Swansea SA1 8EN, UK
Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand
Author to whom correspondence should be addressed.
Fluids 2019, 4(2), 102;
Received: 10 April 2019 / Revised: 22 May 2019 / Accepted: 27 May 2019 / Published: 1 June 2019
(This article belongs to the Special Issue Recent Numerical Advances in Fluid Mechanics)
PDF [15884 KB, uploaded 26 June 2019]


This paper presents a novel and accurate method to implement the Kutta condition in solving subsonic (subcritical) inviscid isentropic compressible flow over isolated airfoils using the stream function equation. The proposed method relies on body-fitted grid generation and solving the stream function equation for compressible flows in computational domain using finite-difference method. An expression is derived for implementing the Kutta condition for the airfoils with both finite angles and cusped trailing edges. A comparison of the results obtained from the proposed numerical method and the results from experimental and other numerical methods reveals that they are in excellent agreement, which confirms the accuracy and correctness of the proposed method. View Full-Text
Keywords: computational aerodynamics; Kutta condition; compressible flow; stream function computational aerodynamics; Kutta condition; compressible flow; stream function

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Mohebbi, F.; Evans, B.; Sellier, M. On the Kutta Condition in Compressible Flow over Isolated Airfoils. Fluids 2019, 4, 102.

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