Instabilities of the Riemann problem in relativistic hydrodynamics

摘要

Corrugation instabilities of the Riemann problem in relativistic hydrodynamics are investigated numerically in the case of nonvanishing velocities tangent to the initial discontinuity. Three dimensional simulations are performed for the ultrarelativistic and the perfect gas equations of state for moderately relativistic speeds. The results agree qualitatively for both equations of state. Shock waves and rarefaction waves behave in a stable way, and a Kelvin-Helmholtz type instability develops near the contact discontinuity.