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LOW MACH NUMBER FLOWS IN TIME-DEPENDENT DOMAINS.

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Title: LOW MACH NUMBER FLOWS IN TIME-DEPENDENT DOMAINS.
Authors: Alì, G.1 g.ali@iac.cnr.it
Source: SIAM Journal on Applied Mathematics. 2003, Vol. 63 Issue 6, p2020-2041. 22p.
Subjects: Time study, Fluids, Acoustic velocity meters, Mathematical variables, Differential equations, Numerical analysis
Abstract: We perform a multiple time scale, single space scale analysis of a compressible fluid in a time-dependent domain, when the time variations of the boundary are small with respect to the acoustic velocity. We introduce an average operator with respect to the fast time. The averaged leading order variables satisfy modified incompressible equations, which are coupled to linear acoustic equations with respect to the fast time. We discuss possible initial-boundary data for the asymptotic equations inherited from the initial-boundary data for the compressible equations. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: LOW MACH NUMBER FLOWS IN TIME-DEPENDENT DOMAINS.
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  Data: We perform a multiple time scale, single space scale analysis of a compressible fluid in a time-dependent domain, when the time variations of the boundary are small with respect to the acoustic velocity. We introduce an average operator with respect to the fast time. The averaged leading order variables satisfy modified incompressible equations, which are coupled to linear acoustic equations with respect to the fast time. We discuss possible initial-boundary data for the asymptotic equations inherited from the initial-boundary data for the compressible equations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1137/S0036139902400738
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        Text: English
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        StartPage: 2020
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      – SubjectFull: Time study
        Type: general
      – SubjectFull: Fluids
        Type: general
      – SubjectFull: Acoustic velocity meters
        Type: general
      – SubjectFull: Mathematical variables
        Type: general
      – SubjectFull: Differential equations
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      – SubjectFull: Numerical analysis
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      – TitleFull: LOW MACH NUMBER FLOWS IN TIME-DEPENDENT DOMAINS.
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              Text: 2003
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