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Difference spline scheme for modeling of convective flows using full Navier — Stokes equations

  • Numerical Methods in Modeling
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Abstract

A difference scheme is constructed, in which enhanced stability is achieved by simultaneous solutions of the equations of motion, energy, and continuity. Spline approximations of spatial derivatives (with the original equations written in divergence form) substantially improve the accuracy of the scheme compared with the standard difference scheme using symmetric differences. The efficiency of the scheme is demonstrated for some problems of convective flow of compressible gas with lateral and bottom heating.

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Authors
  1. S. V. Rusakov
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Additional information

Translated from Matematicheskoe Modelirovanie i Reshenie Obratnykh Zadach. Matematicheskoi Fiziki, pp. 38–45, 1993.

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Rusakov, S.V. Difference spline scheme for modeling of convective flows using full Navier — Stokes equations. Comput Math Model 6, 25–30 (1995). https://doi.org/10.1007/BF01128153

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  • DOI: https://doi.org/10.1007/BF01128153

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