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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Bibliographic Details
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
Subjects:
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
ideal incompressible fluid
iterative process
axisymmetric body
panel method
inverse boundary value problem in aerohydrodynamics
ISSN:0965-5425, 1555-6662
Online Access:Get full text
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Summary: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.
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542508070142