Computer Research and Modeling
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Computer Research and Modeling:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Computer Research and Modeling, 2021, Volume 13, Issue 1, Pages 47–65
DOI: https://doi.org/10.20537/2076-7633-2021-13-1-47-65
(Mi crm869)
 

This article is cited in 1 scientific paper (total in 1 paper)

NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

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

A. E. Kiryushkin, L. L. Minkov

Tomsk State University, 36 Lenin ave., Tomsk, 634050, Russia
References:
Abstract: 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-dynamic sequations 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.
Funding agency Grant number
Russian Foundation for Basic Research 20-31-90033
The reported study was funded by RFBR, project number 20-31-90033.
Received: 08.10.2020
Revised: 26.01.2021
Accepted: 26.01.2021
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. E. Kiryushkin, L. L. Minkov, “Parallel implementation of numerical algorithm of solving coupled internal ballistics modelling problem for solid rocket motors”, Computer Research and Modeling, 13:1 (2021), 47–65
Citation in format AMSBIB
\Bibitem{KirMin21}
\by A.~E.~Kiryushkin, L.~L.~Minkov
\paper Parallel implementation of numerical algorithm of solving coupled internal ballistics modelling problem for solid rocket motors
\jour Computer Research and Modeling
\yr 2021
\vol 13
\issue 1
\pages 47--65
\mathnet{http://mi.mathnet.ru/crm869}
\crossref{https://doi.org/10.20537/2076-7633-2021-13-1-47-65}
Linking options:
  • https://www.mathnet.ru/eng/crm869
  • https://www.mathnet.ru/eng/crm/v13/i1/p47
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Research and Modeling
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024