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ARTIFICIAL VISCOSITY ARRAY FOR 2D LAGRANGIAN GAS DYNAMICS TO REDUCE THE "ENTROPY TRACE" IN NUMERICAL SIMULATIONS

A. M. Stenin, E. A. Solov`eva
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. Вып.1. С. 3-18.

The artificial diffusions of mass, momentum and total energy are artificially added to the system of gas dynamics equations which describes 2D flows in Eulerian coordinates. The formulae for artificial mass diffusion rate are obtained after passing on to Lagrangian coordinates, as well as the formulae for artificial viscosities in motion and energy equations. The artificial viscosity in motion equation is the tensor proportional to the rate-of-strain deviator.
Results of test computations demonstrate the new viscosity system efficiency in reducing the entropy trace during the numerical simulation of Lagrangian gas dynamics.

Keywords: Lagrangian gas dynamics, artificial viscosity, tensor viscosity, entropy trace, Noh problem, Zaltsmann problem.








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