The method of artificial viscosity for computing one-dimensional flows

A generalization of the artificial tensor viscosity, which was used earlier for spherical flows only, is proposed for each of the following three types of one-dimensional flows: flows in a plane, cylindrical flows, and spherical flows. The choice of specific values for the six free parameters of artificial viscosity of fairly general form considered in this paper is illustrated by examples of two types of flows, which can often be found in applied problems.