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

• Published in: Journal of physics. Conference series Vol. 894; no. 1; pp. 12067 - 12074
• Main Authors: Bautin, S P, Novakovskiy, N S
• Format: Journal Article
• Language: English
• 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
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/894/1/012067

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.