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2D SCALAR ARTIFICIAL VISCOSITY OF EGAK TECHNIQUE IN SPHERICAL SYSTEMS

Yu. V. Yanilkin, O. O. Toporova
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. Вып.3. С. 46-54.

The paper considers the problem of a spherically converging shell with a light gas inside it. It is shown that the artificial viscosity type is of a great importance for the numerical solution of this problem. The classic von Neumann-Richtmyer viscosity may give a large error on spherical grids, because it does not take into account the uniform material compression under the spherical convergence conditions. Application of the viscosity earlier proposed by the authors allowed a significant reduction of the error.

Keywords: gas dynamics, artificial viscosity, 2D flows, difference scheme.








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