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We work with the system of equations describing the non-stationary compressible fluid flow, and we focus on the numerical solution of these equations, and on the boundary conditions. In order to construct the boundary conditions we analyze the equations in the close vicinity of the boundary. Many boundary conditions (i.e. fixed, linearized) do not solve the local problem in an appropriate way, which may bring non-physical errors into the solution, slow down the convergent process, or even ruindoi:10.1051/epjconf/20134501054 fatcat:mzo7svmrbrhzbeew7k3ockzhaa