Numerical solution of the problem of supersonic gas flow in two-dimensional channel with the oscillating upper wall

Abstract

In paper we solve the problem of supersonic gas flow in two-dimensional channel with the moving upper wall making oscillations according to the harmonic law. In order to get a numerical solution for gas dynamics equations we have implemented the difference scheme with space and time approximation of the first order using Van Leer’s method to compute fluxes. A special form of fluxes in the gas dynamics equations is given, which enables to calculate fluxes on cell faces of difference mesh using Van Leer’s method. Depending on a type of harmonic law and initial gas inflow conditions, the peculiarities of angle-shock wave propagation in moving curvilinear domains have been investigated. It has been determined that under a particular oscillation frequency the presence of wall oscillation practically doesn’t have an effect on the flow regime inside the domain. While comparing the numerical solution obtained due to our program with the one obtained with Ansys Fluent solver we found that the constructed code operates correctly.