Numerical simulation of shock-free strong compression of 1D gas layer's problem subject to conditions on characteristic

The article describes results of one-dimensional gas layers strong compression problem's math modeling. The article provided numerical algorithm for solving the one-dimensional ideal gas shock-free strong compression problem in R. Mises configuration is proposed too. The method combines finite-...

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Published inJournal of physics. Conference series Vol. 894; no. 1; pp. 12067 - 12074
Main Authors Bautin, S P, Novakovskiy, N S
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2017
Subjects
Algorithms
Compressive strength
Computer simulation
Dynamic characteristics
Exact solutions
Finite difference method
Ideal gas
Mathematical analysis
Numerical analysis
Physics
Symmetry
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Abstract The article describes results of one-dimensional gas layers strong compression problem's math modeling. The article provided numerical algorithm for solving the one-dimensional ideal gas shock-free strong compression problem in R. Mises configuration is proposed too. The method combines finite-difference method ROMB and tracking feature method. The method allows to calculate gas-dynamic characteristic (velocity, density, etc.) of ideal gas layer while time increase and provides better accuracy in comparison with other finite-difference method. The accuracy of the proposed method was demonstrated in calculations of test plane-symmetry problem. Exact solution and numerical one agree quite well. Numerical results of solving one-dimensional problems with different symmetry and gas characteristic is also shown. The main results of numerical simulations are shown in graphs and tables.
AbstractList The article describes results of one-dimensional gas layers strong compression problem's math modeling. The article provided numerical algorithm for solving the one-dimensional ideal gas shock-free strong compression problem in R. Mises configuration is proposed too. The method combines finite-difference method ROMB and tracking feature method. The method allows to calculate gas-dynamic characteristic (velocity, density, etc.) of ideal gas layer while time increase and provides better accuracy in comparison with other finite-difference method. The accuracy of the proposed method was demonstrated in calculations of test plane-symmetry problem. Exact solution and numerical one agree quite well. Numerical results of solving one-dimensional problems with different symmetry and gas characteristic is also shown. The main results of numerical simulations are shown in graphs and tables.
Author Bautin, S P
Novakovskiy, N S
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Gadzhiev A (9) 1979; 19
Bautin S (4) 2007
Bautin S (5) 1997
Novakovskiy N (11) 2017; 2
Zababakhin E (1) 1988
Nikolayev Y (7) 2001; 6
Novakovskiy N (10) 2017; 1
Dolgolyova G (3) 2004
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SubjectTerms Algorithms
Compressive strength
Computer simulation
Dynamic characteristics
Exact solutions
Finite difference method
Ideal gas
Mathematical analysis
Numerical analysis
Physics
Symmetry
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