Self-consistent parabolized stability equation (PSE) method for compressible boundary layer

The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary layers. However, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determin...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:应用数学和力学:英文版 2015, Vol.36 (7), p.835-846
1. Verfasser: Yongming ZHANG Caihong SU
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 846
container_issue 7
container_start_page 835
container_title 应用数学和力学:英文版
container_volume 36
creator Yongming ZHANG Caihong SU
description The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary layers. However, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determined by the so-called phase-locked rule, which results in non-self-consistency in the wave numbers. In this paper, a modification is proposed to make it self-consistent. The main idea is that, instead of allowing wave numbers to be complex, all wave numbers are kept real, and the growth or decay of each mode is simply manifested in the growth or decay of the modulus of its shape function. The validity of the new formulation is illustrated by comparing the results with those from the corresponding direct numerical simulation (DNS) as applied to a problem of compressible boundary layer with Mach number 6.
format Article
fullrecord <record><control><sourceid>chongqing</sourceid><recordid>TN_cdi_chongqing_primary_665222729</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>665222729</cqvip_id><sourcerecordid>665222729</sourcerecordid><originalsourceid>FETCH-chongqing_primary_6652227293</originalsourceid><addsrcrecordid>eNqNyj0OgjAYANDGaCL-3OGLOwmWYnU2GkcT3UmBD6gpLbZ1wBPonbgTV9DBAzi95Y1IsE54HFKesDEJIprEIdtSPiUz525RFDHOWEDSC6oyzI120nnUHlphRWaUfGIBzotMKuk7wPtDeGk0DP3rfDkM_Rsa9LUpoDQWctO0Fp2TmULIzEMXwnagRId2QSalUA6XP-dkdTxc96cwr42u7lJXaWtl8_3pZpNQSjndxX-lD98bSEM</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Self-consistent parabolized stability equation (PSE) method for compressible boundary layer</title><source>SpringerNature Journals</source><source>Alma/SFX Local Collection</source><creator>Yongming ZHANG Caihong SU</creator><creatorcontrib>Yongming ZHANG Caihong SU</creatorcontrib><description>The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary layers. However, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determined by the so-called phase-locked rule, which results in non-self-consistency in the wave numbers. In this paper, a modification is proposed to make it self-consistent. The main idea is that, instead of allowing wave numbers to be complex, all wave numbers are kept real, and the growth or decay of each mode is simply manifested in the growth or decay of the modulus of its shape function. The validity of the new formulation is illustrated by comparing the results with those from the corresponding direct numerical simulation (DNS) as applied to a problem of compressible boundary layer with Mach number 6.</description><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><language>eng</language><subject>PSE ; 傅立叶 ; 可压缩边界层 ; 抛物化稳定性方程 ; 波数 ; 直接数值模拟 ; 自洽 ; 非线性问题</subject><ispartof>应用数学和力学:英文版, 2015, Vol.36 (7), p.835-846</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/86647X/86647X.jpg</thumbnail><link.rule.ids>314,780,784,4024</link.rule.ids></links><search><creatorcontrib>Yongming ZHANG Caihong SU</creatorcontrib><title>Self-consistent parabolized stability equation (PSE) method for compressible boundary layer</title><title>应用数学和力学:英文版</title><addtitle>Applied Mathematics and Mechanics(English Edition)</addtitle><description>The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary layers. However, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determined by the so-called phase-locked rule, which results in non-self-consistency in the wave numbers. In this paper, a modification is proposed to make it self-consistent. The main idea is that, instead of allowing wave numbers to be complex, all wave numbers are kept real, and the growth or decay of each mode is simply manifested in the growth or decay of the modulus of its shape function. The validity of the new formulation is illustrated by comparing the results with those from the corresponding direct numerical simulation (DNS) as applied to a problem of compressible boundary layer with Mach number 6.</description><subject>PSE</subject><subject>傅立叶</subject><subject>可压缩边界层</subject><subject>抛物化稳定性方程</subject><subject>波数</subject><subject>直接数值模拟</subject><subject>自洽</subject><subject>非线性问题</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNqNyj0OgjAYANDGaCL-3OGLOwmWYnU2GkcT3UmBD6gpLbZ1wBPonbgTV9DBAzi95Y1IsE54HFKesDEJIprEIdtSPiUz525RFDHOWEDSC6oyzI120nnUHlphRWaUfGIBzotMKuk7wPtDeGk0DP3rfDkM_Rsa9LUpoDQWctO0Fp2TmULIzEMXwnagRId2QSalUA6XP-dkdTxc96cwr42u7lJXaWtl8_3pZpNQSjndxX-lD98bSEM</recordid><startdate>2015</startdate><enddate>2015</enddate><creator>Yongming ZHANG Caihong SU</creator><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope></search><sort><creationdate>2015</creationdate><title>Self-consistent parabolized stability equation (PSE) method for compressible boundary layer</title><author>Yongming ZHANG Caihong SU</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-chongqing_primary_6652227293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>PSE</topic><topic>傅立叶</topic><topic>可压缩边界层</topic><topic>抛物化稳定性方程</topic><topic>波数</topic><topic>直接数值模拟</topic><topic>自洽</topic><topic>非线性问题</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yongming ZHANG Caihong SU</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><jtitle>应用数学和力学:英文版</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yongming ZHANG Caihong SU</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Self-consistent parabolized stability equation (PSE) method for compressible boundary layer</atitle><jtitle>应用数学和力学:英文版</jtitle><addtitle>Applied Mathematics and Mechanics(English Edition)</addtitle><date>2015</date><risdate>2015</risdate><volume>36</volume><issue>7</issue><spage>835</spage><epage>846</epage><pages>835-846</pages><issn>0253-4827</issn><eissn>1573-2754</eissn><abstract>The parabolized stability equation (PSE) method has been proven to be a useful and convenient tool for the investigation of the stability and transition problems of boundary layers. However, in its original formulation, for nonlinear problems, the complex wave number of each Fourier mode is determined by the so-called phase-locked rule, which results in non-self-consistency in the wave numbers. In this paper, a modification is proposed to make it self-consistent. The main idea is that, instead of allowing wave numbers to be complex, all wave numbers are kept real, and the growth or decay of each mode is simply manifested in the growth or decay of the modulus of its shape function. The validity of the new formulation is illustrated by comparing the results with those from the corresponding direct numerical simulation (DNS) as applied to a problem of compressible boundary layer with Mach number 6.</abstract></addata></record>
fulltext fulltext
identifier ISSN: 0253-4827
ispartof 应用数学和力学:英文版, 2015, Vol.36 (7), p.835-846
issn 0253-4827
1573-2754
language eng
recordid cdi_chongqing_primary_665222729
source SpringerNature Journals; Alma/SFX Local Collection
subjects PSE
傅立叶
可压缩边界层
抛物化稳定性方程
波数
直接数值模拟
自洽
非线性问题
title Self-consistent parabolized stability equation (PSE) method for compressible boundary layer
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T13%3A45%3A58IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-chongqing&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Self-consistent%20parabolized%20stability%20equation%20%EF%BC%88PSE%EF%BC%89%20method%20for%20compressible%20boundary%20layer&rft.jtitle=%E5%BA%94%E7%94%A8%E6%95%B0%E5%AD%A6%E5%92%8C%E5%8A%9B%E5%AD%A6%EF%BC%9A%E8%8B%B1%E6%96%87%E7%89%88&rft.au=Yongming%20ZHANG%20Caihong%20SU&rft.date=2015&rft.volume=36&rft.issue=7&rft.spage=835&rft.epage=846&rft.pages=835-846&rft.issn=0253-4827&rft.eissn=1573-2754&rft_id=info:doi/&rft_dat=%3Cchongqing%3E665222729%3C/chongqing%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_cqvip_id=665222729&rfr_iscdi=true