Mack modes in supersonic boundary layer

Fuente: arXiv
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Autori principali: Masmoudi, Nader, Wang, Yuxi, Wu, Di, Zhang, Zhifei
Natura: Preprint
Pubblicazione: 2024
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author Masmoudi, Nader
Wang, Yuxi
Wu, Di
Zhang, Zhifei
author_facet Masmoudi, Nader
Wang, Yuxi
Wu, Di
Zhang, Zhifei
contents Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hypersonic aircraft. In this paper, we construct multiple unstable acoustic modes so-called Mack modes, which play a crucial role during the early stage of transition in the supersonic boundary layer. To this end, we develop an inner-outer gluing iteration to solve a hyperbolic-elliptic mixed type and singular system.
format Preprint
id arxiv_https___arxiv_org_abs_2405_04853
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mack modes in supersonic boundary layer
Masmoudi, Nader
Wang, Yuxi
Wu, Di
Zhang, Zhifei
Analysis of PDEs
Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hypersonic aircraft. In this paper, we construct multiple unstable acoustic modes so-called Mack modes, which play a crucial role during the early stage of transition in the supersonic boundary layer. To this end, we develop an inner-outer gluing iteration to solve a hyperbolic-elliptic mixed type and singular system.
title Mack modes in supersonic boundary layer
topic Analysis of PDEs
url https://arxiv.org/abs/2405.04853