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Quasi-Characteristics Numerical Schemes

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 130))

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Abstract

Some new types of quasi-characteristics numerical schemes are considered. For solutions of initial value hyperbolic problems with discontinuities the hybrid modifications of these schemes are developed. Applications of proposed schemes to solution of initial boundary value problems in supersonic aerodynamics and in numerical simulation of two phase flows through the porous media are presented.

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References

  1. V.M. Borisov, Yu.V. Kurilenko, I.E. Mikhailov and E.L. Nikolaevskaya, Method of Characteristics for Computing Vortex 3-D Stationary Flows (1988), Computing Centre of USSR Academy of Sciences, Moscow.

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  2. M.P. Levin, A Difference Scheme of Quasi-Characteristics and its Use to Calculate Supersonic Gas Flows J. of Computational Mathematics and Mathematical Physics, 33 (1993), 113–121.

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  3. K.M. Magomedov and A.S. Kholodov, Grid-Characteristic Numerical Methods (1988), Nauka, Moscow.

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© 1999 Springer Basel AG

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Levin, M.P. (1999). Quasi-Characteristics Numerical Schemes. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8724-3_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9744-0

  • Online ISBN: 978-3-0348-8724-3

  • eBook Packages: Springer Book Archive

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