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A Mimetic Finite-Difference Scheme for Convection of Multicomponent Fluid in a Porous Medium

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Computer Algebra in Scientific Computing (CASC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5743))

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Abstract

A mimetic finite-difference scheme for the equations of three-dimensional convection of a multicomponent fluid in a porous medium is developed. The discretization is based on staggered grids with five types of nodes (velocities, pressure, temperature, and mass fractions) and on a special approximation of nonlinear terms. Computer experiments have revealed the continuous family of steady states in the case of the zero heat fluxes through two opposite lateral planes of parallelepiped.

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Author information

Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    Vyacheslav Tsybulin

  2. Southern Scientific Center of Russian Academy of Science, Rostov-on-Don, Russia

    Andrew Nemtsev

  3. Department of Mathematics & Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey

    Bülent Karasözen

Authors
  1. Vyacheslav Tsybulin
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  2. Andrew Nemtsev
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  3. Bülent Karasözen
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Editor information

Editors and Affiliations

  1. Joint Institute for Nuclear Research, Laboratory of Information Technologies, Dubna, Russia

    Vladimir P. Gerdt

  2. Technische Universität München‘, Institut für Informatik, Garching, Germany

    Ernst W. Mayr

  3. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 2009 Springer-Verlag Berlin Heidelberg

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Tsybulin, V., Nemtsev, A., Karasözen, B. (2009). A Mimetic Finite-Difference Scheme for Convection of Multicomponent Fluid in a Porous Medium. In: Gerdt, V.P., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2009. Lecture Notes in Computer Science, vol 5743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04103-7_28

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  • DOI: https://doi.org/10.1007/978-3-642-04103-7_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04102-0

  • Online ISBN: 978-3-642-04103-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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