The dynamics of transient in-chamber processes of booster (overclocking) multi-hop of solid rocket motor is investigated. The research method is the formulation of a computational experiment. The conjugate formulation of the problem is considered, which includes: – the ignition device is triggered (the combustion rate of the igniting composition is described on the basis of an experimental and theoretical approach that takes into account the burning of combustion products behind the body of the igniting device); – heating, ignition and subsequent unsteady and turbulent combustion of a charge of a mixed solid fuel (a quasihomogeneous combustion model is used, formulated on the basis of the equations of thermal conductivity and chemical kinetics recorded for the condensed phase (solid fuel), taking into account the influence of the gas phase (flare) on the combustion process in the condensed phase; the method of solving the problem is the finite difference method); – unsteady three-dimensional homogeneous-heterogeneous three-phase flow of nitrogen (pre-pressurization gas of the combustion chamber) and combustion products of the igniting composition and mixed solid fuel in the combustion chamber, multi-core block and behind the multi-core block of the rocket engine (approaches of mechanics of continuous multiphase media are used; the basic system of equations is a system of vortex differential equations of gas dynamics; the solution method is multiparametric a class of difference splitting schemes by physical processes of the Davydov method); – depressurization of the combustion chamber and the departure of the plugs of the multi-nozzle block of solid rocket motor (the equation of motion of the nozzle block plug is Newton's second law; the method of solving the problem is the Euler method). Each of the subtasks is considered in relation and resolved simultaneously – at one-time step. To solve the formulated problem, a set of application programs has been developed using (for the main calculation module) the OpenCL multithreading information processing standard. The operability of the software product was checked.
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