Finite-Difference Method for Computation of 3-D Gas Dynamics Equations with Artificial Viscosity

摘要

A new numerical method for the solution of gas dynamics problems for three-dimensional (3D) systems in Eulerian variables is presented in the paper. The proposed method uses the approxi- mation O(τ2 + + + in the areas of the solution’s smoothness and beyond the compression waves; τ is the time step; and hx, hy, and hz are space variable steps. In the proposed difference scheme, in addition to Lax–Wendroff corrections, artificial viscosity μ that monotonizes the scheme is intro- duced. The viscosity is obtained from the conditions of the maximum principle. The results of the computation of the 3D test problem for the Euler equation are presented.