HIGH RESOLUTION HYDRODYNAMICS USING ARTIFICIAL VISCOSITY

Christensen Randy B.
VANT. Ser.: Mat. Mod. Fiz. Proc 1997. Вып.1. С. 69.

      The report presented a method for obtaining high-order non-oscillatory results for staggered mesh (velocities at cell boundaries and thermodynamic variables at cell centers internal energy-based hydrodynamics codes using a simple modification of Artificial Viscosity technique. This modification is derived by applying the Godunov method directly to a staggered mesh and replacing the full Riemann solution by a particular approximate Riemann solver. It was shown to deliver results comparable to cell-centered total energy based FTC, TVD and high order Godunov methods.