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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
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.
Received: 28.02.2016
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
Linking options:
https://www.mathnet.ru/eng/vyuru407 https://www.mathnet.ru/eng/vyuru/v10/i4/p113
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Abstract page: | 145 | Full-text PDF : | 68 | References: | 37 |
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