ONE WAY TO CONSTRUCT A COMPLETELY CONSERVATIVE DIFFERENCE SCHEME OF GAS DYNAMICS IN LAGRANGIAN VARIABLES
N. S. Es'kov, Ja. V. Pronin
VANT. Ser.: Mat. Mod. Fiz. Proc 2004. Вып.2. С. 65-78.
A completely conservative difference scheme of gas dynamics in Lagrangian variables in a planar case is constructed. The difference operators GRAD and DIV have simple, convenient form. An artificial viscosity is entered into the scheme in two directions, therefore the shock wave is "smeared" over equal amount of cells, irrespective of a movement direction even with the use of strongly elongated cells. In one-dimensional case viscosity is gained in a form of some nonlinear combination of linear and quadratic viscosities. The results of numerical calculations are given. In all 2-D problems relating to gas dispersion in vacuum, the results of calculations by a completely conservative scheme are more accurate than the results obtained by divergent and non-divergent schemes.
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