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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 4, Pages 113–123
DOI: https://doi.org/10.14529/mmp170411
(Mi vyuru407)
 

Programming & Computer Software

Mathematical and software support for 3D mathematical modelling of the airflow impact on the optical-mechanical unit mounted in the aircraft unpressurized compartment

I. E. Ivanov, I. A. Kryukov, E. V. Larina, V. L. Miroshkin

Moscow Aviation Institute (National Research University), Moscow, Russian Federation
References:
Abstract: The problem of three-dimensional mathematical modelling of the effect of air flow on an optical-mechanical unit (OMU) located in the unpressurised compartment of the aircraft, is considered. To solve this problem, a mathematical model of gas dynamics based on the solution of a complete system of Navier–Stokes equations that describe the dynamics of a turbulent, spatially unsteady flow of a viscous gas is developed. The software for simulating the process of flow past a WMU model in the aircraft compartment was created. The effect of the air flow on the OMU is described by the torque acting on the OMU from the airflow side. A numerical method for solving the three-dimensional gasdynamic problem is presented. The numerical method is based on the numerical high order Godunov scheme, realized on an irregular grid with arbitrary cells (tetrahedral, prismatic shape). Flows of conservative variables are calculated by solving the Riemann problem with an approximate AUSM method. The system of equations is supplemented by a two-parameter k-model of turbulence, modified for the calculation of high-speed compressible flows. To significantly reduce the cost of computing resources, it is suggested to use stochastic models of the effect of air flow on WMU. A general simulation algorithm is described.
Keywords: optical-mechanical unit; mathematical modelling; the effects of air flow.
Funding agency Grant number
Russian Foundation for Basic Research 16-38-60185_мол_а_дк
16-01-00444_a
15-08-02833_a
This work is conducted with the support of grant № 16-38-60185 and of the grant № 16-01-00444a and of the grant № 15-08-02833a.
Received: 28.02.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9+519.216.2
MSC: 65N06, 76G25
Language: English
Citation: I. E. Ivanov, I. A. Kryukov, E. V. Larina, V. L. Miroshkin, “Mathematical and software support for 3D mathematical modelling of the airflow impact on the optical-mechanical unit mounted in the aircraft unpressurized compartment”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017), 113–123
Citation in format AMSBIB
\Bibitem{IvaKryLar17}
\by I.~E.~Ivanov, I.~A.~Kryukov, E.~V.~Larina, V.~L.~Miroshkin
\paper Mathematical and software support for 3D mathematical modelling of the airflow impact
on the optical-mechanical unit mounted in the aircraft unpressurized compartment
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 4
\pages 113--123
\mathnet{http://mi.mathnet.ru/vyuru407}
\crossref{https://doi.org/10.14529/mmp170411}
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\elib{https://elibrary.ru/item.asp?id=30752544}
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