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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 10, Pages 1684–1692
DOI: https://doi.org/10.31857/S0044466921100136 (Mi zvmmf11306) 		 
Mathematical physics

Design of the supersonic part of a maximum thrust spatial nozzle

I. E. Mikhaĭlovab

a Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119333, Moscow, Russia
b Moscow Aviation Institute (National Research University)
DOI: https://doi.org/10.31857/S0044466921100136
Abstract: The problem of obtaining the form of a spatial supersonic nozzle cross section that intersects the circular critical cross section of the nozzle and an output circuit inscribed in the given dimensions, which has the greatest thrust among all possible admissible forms. is considered. The Lagrange functional, in which all gas-dynamics equations and boundary condition are taken into account with the help of variable Lagrange multipliers, is compiled. The first variation of the functional is written out. The equations and constraints turning the first variation into zero form an adjoint problem for the Lagrange multipliers and an optimality condition. A numerical algorithm for the consistent solution of gas-dynamics equations and the adjoint problem is developed. Numerical examples are given.
Key words: supersonic part of a spatial nozzle, necessary optimality conditions.
Received: 02.02.2021
Revised: 02.02.2021
Accepted: 09.06.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 10, Pages 1652–1660
DOI: https://doi.org/10.1134/S0965542521100109
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. E. Mikhaǐlov, “Design of the supersonic part of a maximum thrust spatial nozzle”, Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021), 1684–1692; Comput. Math. Math. Phys., 61:10 (2021), 1652–1660
Citation in format AMSBIB
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\vol 61
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\pages 1684--1692
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