Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body

A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based on an iterative process involving the solution to an inverse problem in the plane case and the solution to a direct problem for the body. Th...

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Published in:Computational mathematics and mathematical physics Vol. 48; no. 7; pp. 1234 - 1242
Main Authors: Il’inskii, N. B., Mardanov, R. F., Solov’ev, S. A.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2008
Springer Nature B.V
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ISSN:0965-5425, 1555-6662
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Abstract A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based on an iterative process involving the solution to an inverse problem in the plane case and the solution to a direct problem for the body. The iterative process has been implemented in a software program. Numerical computations are presented that illustrate the efficiency of the method.
AbstractList A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based on an iterative process involving the solution to an inverse problem in the plane case and the solution to a direct problem for the body. The iterative process has been implemented in a software program. Numerical computations are presented that illustrate the efficiency of the method.
A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based on an iterative process involving the solution to an inverse problem in the plane case and the solution to a direct problem for the body. The iterative process has been implemented in a software program. Numerical computations are presented that illustrate the efficiency of the method. [PUBLICATION ABSTRACT]
Author Il’inskii, N. B.
Mardanov, R. F.
Solov’ev, S. A.
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  surname: Il’inskii
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  fullname: Mardanov, R. F.
  organization: Institute of Mathematics and Mechanics, Kazan State University
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  givenname: S. A.
  surname: Solov’ev
  fullname: Solov’ev, S. A.
  organization: Institute of Mathematics and Mechanics, Kazan State University
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Keywords ideal incompressible fluid
iterative process
axisymmetric body
panel method
inverse boundary value problem in aerohydrodynamics
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VyachkilevO. A.Il’inskiiN. B.IsmagilovaG. R.Inverse Boundary Value Problem for a Blade Cascade Located on an Axisymmetric Stream Surface in a Layer of Variable ThicknessZh. Vychisl. Mat. Mat. Fiz.199636134142
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FletcherC. A. J.Computational Techniques for Fluid Dynamics, Vol. 2: Specific Techniques for Different Flow Categories1990BerlinSpringer-Verlag
EtermanI. I.Determining the Surface of a Solid of Revolution from a Given Pressure DistributionDokl. Akad. Nauk SSSR1947563513530031.32702
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P. K. Banerjee (7014_CR3) 1981
C. A. J. Fletcher (7014_CR1) 1990
References_xml – reference: BanerjeeP. K.ButterfieldR.Boundary Element Methods in Engineering Science1981New YorkMcGraw-Hill0499.73070
– reference: VyachkilevO. A.Il’inskiiN. B.IsmagilovaG. R.Inverse Boundary Value Problem for a Blade Cascade Located on an Axisymmetric Stream Surface in a Layer of Variable ThicknessZh. Vychisl. Mat. Mat. Fiz.199636134142
– reference: TikhonovA. N.ArseninV. Ya.Solutions of Ill-Posed Problems1974MoscowFizmatlit
– reference: FletcherC. A. J.Computational Techniques for Fluid Dynamics, Vol. 2: Specific Techniques for Different Flow Categories1990BerlinSpringer-Verlag
– reference: LoitsyanskiiL. G.Mechanics of Liquids and Gases1972OxfordPergamon0247.76001
– reference: EtermanI. I.Determining the Surface of a Solid of Revolution from a Given Pressure DistributionDokl. Akad. Nauk SSSR1947563513530031.32702
– reference: ElizarovA. M.Il’inskiiN. B.PotashevA. V.Inverse Boundary Value Problems in Aerohydrodynamics1994MoscowNauka
– reference: O. M. Kiselev, “Construction of a Solid of Revolution from a Given Velocity Distribution,” Izv. Vyssh. Uchebn. Zaved. Aviats. Tekh., No. 2, 20–24 (1959).
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Snippet A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based...
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SubjectTerms Boundary value problems
Computational mathematics
Computational Mathematics and Numerical Analysis
Fluid dynamics
Inverse problems
Mathematics
Mathematics and Statistics
Methods
Numerical analysis
Pressure distribution
Studies
Velocity
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