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A Regular Difference Grid and Characteristics Method

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Abstract

An explicit characteristics method used to calculate the values of gas-dynamic parameters (GDP) of one-dimensional unsteady flows is considered. An algorithm for solving gas-dynamic equations written along characteristic directions is formulated for use on a regular grid. An example of calculating the problem for a cylindrical pipe is performed. It is shown that with a time integration step of 0.0002 s, the calculation accuracy by the explicit method is close to the results obtained by the implicit method.

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    A. M. Lipanov

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  1. A. M. Lipanov
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Correspondence to A. M. Lipanov.

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Lipanov, A.M. A Regular Difference Grid and Characteristics Method. Math Models Comput Simul 15 (Suppl 1), S123–S130 (2023). https://doi.org/10.1134/S2070048223070116

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  • DOI: https://doi.org/10.1134/S2070048223070116

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