STABILITY ANALYSIS OF NUMERICAL-SOLUTIONS OF WAVE-PROPAGATION WHEN PSEUDOVISCOSITY IS REPLACED BY REAL VISCOSITY

The artificial viscosity method was originally introduced by Von Neuma n and Richtmeyer R. D. Rchtmeyer and K. W. Morton, in Difference Meth ods for Initial Value Problem (Interscience, New York, 1967)! to sprea d the shock over several cells of the mesh. This method is useful if t he physical phenomena present in the shock front are not of interest. In some cases, such as polymer, the amount of viscosity is large enoug h to spread the front shock naturally. In our problem, pseudoviscosity is ignored. A stability analysis shows that the time step restriction s for stability can be less stringent than with pseudoviscosity.