Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

Construction and optimization of transonic gas flow boundary forms by the inverse boundary-value problem method

Kuzikov S.

Altai State University (Barnaul)

A set of equations describing irrotational two-dimensional steady flow of perfect gas is brought to the symmetric form where a current function and a velocity modulus are independent variables. Boundary conditions on the edges of the flow are determined by prescribing the velocity modulus or the angle of inclination of a velocity vector as the functions of the arc length parameter and the velocity modulus, respectively. Optimization of the flow boundaries forms consists in identifying the distribution of these functions which imply the optimization of aerodynamic characteristics. Optimization problems are solved by gradient method. The gradient of the minimized functional is determined by means of solving the conjugate problem in relation to this functional.

Note. Abstracts are published in author's edition

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