UNO-schemes of the second order of accuracy for calculating waves in an elastic-plastic body

Abstract

The possibility of increasing the efficiency of calculating waves in an elastic-plastic body by the Godunov method due to its UNO-modification is considered. The efficiency is estimated by comparing the results of computations by the Godunov method and its modification of the one-dimensional and two-dimensional problems on the propagation of waves in an elastic-plastic body, arising under the action on its free surface. It is shown that in the problems under consideration the UNO-modification is much more effective. In particular, it allows one to obtain numerical solutions of nearly the same accuracy by using significantly (four times) coarser grids with consuming less computer time by an order of magnitude.