SPH METHOD OF SMOOTHED PARTICLES FOR GAS DYNAMICS PROBLEMS WITH SPHERICAL AND CYLINDRICAL SYMMETRIES
A. D. Zubov, A. M. Lebedev
VANT. Ser.: Mat. Mod. Fiz. Proc 2009. Вып.1. С. 19-28.
The paper describes new SPH-approximation formulas for ID problems with spherical and cylindrical symmetries. Calculations were carried out to find numerically the order of convergence for the SPH method basing on solutions to the "Blast Waves" problem by Woodward-Colella. It has been shown that the SPH method has the first order of accuracy for non-smooth solutions. The paper presents results of model gas dynamic calculations for Riemann problem with spherical symmetry, the problem of point explosion, the self-similar problem of a converging shock wave (for adiabatic and hormothermal gases), and Noch problem. Keywords: mesh-free methods, method of smoothed particles SPH, computational gas dynamics.
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English
