Abstract
The viscous–inviscid interaction (VII) philosophy for modelling aerodynamic boundary layers is discussed. ‘Traditionally’ the shear-layer equations are solved with pressure prescribed by the inviscid flow, but then the solution breaks down in a singularity related to flow separation. In the quasi-simultaneous coupling approach this singularity is overcome by making use of an interaction law. A novel mathematical analysis is presented of the essential properties of such interaction laws, which is based on classical theory for non-negative matrices. The performance of a highly simplified interaction law is demonstrated for separated airfoil flow beyond maximum lift.
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Acknowledgements
The author would like to acknowledge the enthusiastic and highly valuable contributions from his PhD students Edith Coenen and Henny Bijleveld.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Veldman, A.E.P. A simple interaction law for viscous–inviscid interaction. J Eng Math 65, 367–383 (2009). https://doi.org/10.1007/s10665-009-9320-0
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DOI: https://doi.org/10.1007/s10665-009-9320-0