عنوان مقاله [English]
The addition of a fictitious term, artificial viscosity, into the inviscid Euler equations of fluid dynamics, in order to automatically ''capture" shock waves, is, perhaps, the oldest numerical device in the rel atively new field of r.omputational physics and me chanics. Many different functional forms for arti-ficial viscosity have been proposed. These forms eontain problem-sensitive-constants that are often set in a somewhat arbitrary manner . The purpose of this work is to choose a suitable fomL to remove
as many of these arbitrary constants as possible.For this purpose, a form presented by Caramana is seleeted. This form has some important proper ties, namely1 dissipativity, Galilean invarianee, abil ity to distinguish between shock waves, adiabatic compression and turning off completely for rigid mot ion. Properties are enforced to this form by use of a limiter. :'umerical results show more ac. curate shock wave capturing in non-planar spaces, especially in the convergent cases, than in the other forms of artificial viscosity.