Development of mathematical modeling tools designed for calculations of supersonic flows in aerodynamic windows of gas lasers is considered. Numerical simulation of steady-state supersonic flows of an ideal compressible gas in curvilinear channels and nozzles with various pressure differences is performed on the basis of a finite volume method and a marching scheme. Flow patterns in supersonic jets observed with the uniform velocity distribution and a free vortex velocity distribution on the nozzle outlet section are compared. Channel designing tools are developed based on the solutions of a sequence of direct problems. The numerical results show a high efficiency of the software developed for problems related to the channel profiling and to the control of steady-state supersonic jet flows.

Keywords: aerodynamic window, supersonic flow, nozzle, jet, numerical simulation, finite volume method, marching method, Riemann problem.

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