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Two-Grid Newton Algorithms for a System of Heat Conducting Gas Equations

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Finite Difference Methods. Theory and Applications (FDM 2018)

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Abstract

We present two-grid Newton’s algorithms for solving gas dynamics coupled with non-linear heat conduction problems. The algorithms involve solving one small, non-linear coarse mesh system and one linear problem on a fine mesh. We also examine a two-grid method combined with Richardson extrapolation. Test examples compare the efficiency of the proposed algorithms.

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Acknowledgments

This research is supported by the Bulgarian National Science Fund under Bilateral Project DNTS/Russia 02/12 “Development and investigation of finite-difference schemes of higher order of accuracy for solving applied problems of fluid and gas mechanics, and ecology” from 2018.

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Authors and Affiliations

  1. University of Ruse, 8 Studentska str., 7017, Ruse, Bulgaria

    Miglena N. Koleva & Lubin G. Vulkov

Authors
  1. Miglena N. Koleva
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  2. Lubin G. Vulkov
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Correspondence to Miglena N. Koleva .

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Editors and Affiliations

  1. IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Koleva, M.N., Vulkov, L.G. (2019). Two-Grid Newton Algorithms for a System of Heat Conducting Gas Equations. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_38

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  • DOI: https://doi.org/10.1007/978-3-030-11539-5_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11538-8

  • Online ISBN: 978-3-030-11539-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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