Abstract
The considered sequential approximation method for one-dimensional unsteady problems makes it possible to reduce the solution to the integration of systems of ordinary differential equations. The gas motion is bounded, on the one hand, by a piston moving in accordance with an arbitrary law, and, on the other hand, by either a compression shock or a rarefaction wave propagating through the gas with given arbitrary parameters. A comparison is made of certain exact solutions with the resulting approximate solutions.
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Andreev, V.P. Sequential approximation method for one-dimensional unsteady problems of gasdynamics. Fluid Dyn 2, 19–22 (1967). https://doi.org/10.1007/BF01013706
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DOI: https://doi.org/10.1007/BF01013706