Parallel implementation of numerical algorithm of solving coupled internal ballistics modelling problem for solid rocket motors

Kiryushkin A.E., Minkov L.L.
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We present a physico-mathematical statement of coupled geometrical and gas dynamics problem of intrachamber processes simulation and calculation of main internal ballistics characteristics of solid rocket motors in axisymmetric approximation. Method and numerical algorithm of solving the problem are described in this paper. We track the propellant burning surface using the level set method. This method allows us to implicitly represent the surface on a fixed Cartesian grid as zero-level of some function. Two-dimensional gas-dynamics equations describe a flow of combustion products in a solid rocket motor. Due to inconsistency of domain boundaries and nodes of computational grid, presence of ghost points lying outside the computational domain is taken into account. For setting the values of flow parameters in ghost points, we use the inverse Lax – Wendroff procedure. We discretize spatial derivatives of level set and gas-dynamics equations with standard WENO schemes of fifth and third-order respectively and time derivatives using total variation diminishing Runge –Kutta methods. We parallelize the presented numerical algorithm using CUDA technology and further optimize it with regard to peculiarities of graphics processors architecture.

Created software package is used for calculating internal ballistics characteristics of nozzleless solid rocket motor during main firing phase. On the base of obtained numerical results, we discuss efficiency of parallelization using CUDA technology and applying considered optimizations. It has been shown that implemented parallelization technique leads to a significant acceleration in comparison with central processes. Distributions of key parameters of combustion products flow in different periods of time have been presented in this paper. We make a comparison of obtained results between quasione-dimensional approach and developed numerical technique.

Keywords: gas dynamics, solid rocket motors, internal ballistics, parallel computing
Citation in English: Kiryushkin A.E., Minkov L.L. Parallel implementation of numerical algorithm of solving coupled internal ballistics modelling problem for solid rocket motors // Computer Research and Modeling, 2021, vol. 13, no. 1, pp. 47-65
Citation in English: Kiryushkin A.E., Minkov L.L. Parallel implementation of numerical algorithm of solving coupled internal ballistics modelling problem for solid rocket motors // Computer Research and Modeling, 2021, vol. 13, no. 1, pp. 47-65
DOI: 10.20537/2076-7633-2021-13-1-47-65
URL: http://crm-en.ics.org.ru/journal/article/3028/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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