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A simple convection algorithm for simulation of time‐dependent supersonic and hypersonic flows of a perfect but viscous gas is described. The algorithm is based on conservation and convection of mass, momentum and energy in a grid of rectangular cells. Examples are given for starting flow in a shock‐tube and oblique shocks generated by a wedge, at Mach numbers up to 30.4. Good comparisons are achieved with well‐known perfect gas flows.

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