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Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics

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Abstract

Convergence of the approximate solution of fluid dynamics problems obtained using Godunov’s scheme to the discontinuous solution is investigated.

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References

  1. S. K. Godunov, “A Difference Method for Numerical Calculation of Discontinuous Solutions of the Equations of Hydrodynamics,” Mat. Sb. 47(3), 271–306 (1959).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090, Russia

    S. K. Godunov

  2. Novosibirsk State Technical University, pr. K. Marksa 20, Novosibirsk, 630092, Russia

    Yu. D. Manuzina & M. A. Nazar’eva

Authors
  1. S. K. Godunov
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  2. Yu. D. Manuzina
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  3. M. A. Nazar’eva
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Corresponding author

Correspondence to S. K. Godunov.

Additional information

Dedicated to Academician A.A. Dorodnicyn on the Occasion of the Centenary of His Birth

Original Russian Text © S.K. Godunov, Yu.D. Manuzina, M.A. Nazar’eva, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 1, pp. 96–103.

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Godunov, S.K., Manuzina, Y.D. & Nazar’eva, M.A. Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics. Comput. Math. and Math. Phys. 51, 88–95 (2011). https://doi.org/10.1134/S0965542511010088

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  • DOI: https://doi.org/10.1134/S0965542511010088

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