Since 1978
Published in Sarov (Arzamas-16), Nizhegorodskaya oblast

RUSSIAN FEDERAL
NUCLEAR CENTER -
ALL-RUSSIAN RESEARCH INSTITUTE
OF EXPERIMENTAL PHYSICS
 
 Русский |  English
ABOUT EDITORIAL BOARD PUBLICATION ETHICS RULES FOR AUTHORS AUTHORS ARCHIVE MOST RECENT ISSUE IN NEXT ISSUE PAPER OF THE YEAR




INVESTIGATION OF INFLUENCE OF SOME ARTIFICIAL VISCOSITY FORMS ON “ENTROPY TRACE” CHARACTER FOR NUMERICAL SOLUTION OF GAS-DYNAMICS EQUATIONS

A. M. Stenin, E. A. Solov’eva
VANT. Ser.: Mat. Mod. Fiz. Proc 2008. Вып.1. С. 30-41.

The paper considers the problem of errors reduction for values of quantities in entropy trace domain originating in computations of Lagrangian gas-dynamics problems conducted with the help of difference schemes of shock waves end-to-end computation.
Artificial mass diffusion, artificial impulse diffusion and artificial total energy diffusion are conservatively entered into gas-dynamics equations set in Euler coordinates. Formulas for velocity of artificial mass diffusion in continuity equations and for artificial viscosities in motion and energy equations in Lagrangian coordinates are derived from this equations set. In the case of cylindrical and spherical symmetry of flows tensorial artificial viscosity similar to physical viscosity is entered to the motion equation instead of scalar viscosity.
Methods of modification of obtained viscosity system by means of Hugoniot conditions on shock wave are considered which improve computation results in entropy trace domain.
Results of conducted test computations show high efficiency of new viscosity system concerning reduction of entropy trace for numerical solution of Lagrangian gas-dynamics equations.










[ Back ]


 
 
 
© FSUE "RFNC-VNIIEF", 2000-2024