New calculation schemes based on the large-particle method for modeling gas-dynamic problems

Abstract

In developing the numerical large-particle method, new calculation schemes providing for analytical determination of the parameters using the ambiguity principle and the transition to the second order of accuracy in time and space are presented. Furthermore, the change in the density at the Eulerian stage of the method is taken into account. As a result, the stability of the computing procedure of complex flows with separations and free jets is provided at the values of the difference Courant number close to unity. This circumstance makes it possible to reduce considerably the time of calculations and to increase their accuracy.