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Parabolized stability equations - HEIN, S.

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Parabolized stability equations - HEIN, S. - German Aerospace Center (DLR), Germany - https://doi.org/10.35294/ls201801.hein


in VKI LS 2018-01, Introduction to stability and transition analysis methods - SSEMID, Edited by E. Valero & F. Pinna, ISBN-13 978-2-87516-124-6, https://doi.org/10.35294/ls201801

Parabolized stability equations - HEIN, S.

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Parabolized stability equations - HEIN, S. – German Aerospace Center (DLR), Germany

https://doi.org/10.35294/ls201801.hein

PSE has developed into a powerful and still rather efficient numerical tool for instability and transition analysis. It filled the gap between classical LST, which nowadays requires little computational effort, and direct numerical simulations (DNS), which are orders of magnitude more expensive. Compared to LST, receptivity and linear disturbance development is more accurately described by PSE at similar computational costs. Furthermore, nonlinear disturbance interactions can be studied which are out of scope of LST. Some receptivity mechanisms and many aspects of linear and nonlinear disturbance development can be calculated with similar accuracy but much more efficiently than in a DNS. However, PSE is suitable for convectively unstable flows only. Moreover, with PSE it is not possible to reach the strongly nonlinear stage of laminar-turbulent transition and the subsequent fully turbulent stage.

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