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Using completely implicit methods to solve the direct problem of nozzle theory

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Abstract

An iterative method from the class of completely implicit methods (CIM) is proposed for solving the equation of the velocity potential of elliptical-hyperbolic type. The advantage of the proposed method compared to other CIM schemes is demonstrated in application to mixed perfect gas flows in a nozzle of a given shape. Accuracy issues, rate of convergence, and various techniques of ensuring stability in the hyperbolic region are discussed.

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Authors
  1. V. A. Mechenova
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  2. G. S. Roslyakov
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Additional information

Translated from Chislennye Metody v Matematicheskoi Fizike, Published by Moscow University, Moscow, 1996, pp. 39–51.

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Mechenova, V.A., Roslyakov, G.S. Using completely implicit methods to solve the direct problem of nozzle theory. Comput Math Model 8, 118–129 (1997). https://doi.org/10.1007/BF02405161

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  • DOI: https://doi.org/10.1007/BF02405161

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