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Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems pp 647–654Cite as

MPFA Algorithm for Solving Stokes-Brinkman Equations on Quadrilateral Grids

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 78))

Abstract

This work is concerned with the development of a robust and accurate numerical method for solving the Stokes-Brinkman system of equations, which describes a free fluid flow coupled with a flow in porous media. Quadrilateral boundary fitted grid with a sophisticated finite volume method, namely MPFA O-method, is used to discretize the system of equations. Numerical results for two examples are presented, namely, channel flow and flow in a ring with a rolled porous medium.

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References

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Acknowledgments

This work was partially supported by BMBF Project FPSI-Filt.

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Authors and Affiliations

  1. Department of Flow and Material Simulations, Fraunhofer ITWM, Kaiserslautern, Germany

    Oleg Iliev, Ralf Kirsch & Zahra Lakdawala

  2. Numerical Porous Media Center (NumPor), King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia

    Oleg Iliev & Galina Printsypar

Authors
  1. Oleg Iliev
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  2. Ralf Kirsch
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  3. Zahra Lakdawala
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  4. Galina Printsypar
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Corresponding author

Correspondence to Galina Printsypar .

Editor information

Editors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Jürgen Fuhrmann

  2. Institute Comp. Applied Mathematics, University of Münster Center for Nonlinear Sciences (CeNoS ), Münster, Germany

    Mario Ohlberger

  3. Inst. Appl. Analysis and Num. Simulation, University of Stuttgart, Stuttgart, Germany

    Christian Rohde

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© 2014 Springer International Publishing Switzerland

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Iliev, O., Kirsch, R., Lakdawala, Z., Printsypar, G. (2014). MPFA Algorithm for Solving Stokes-Brinkman Equations on Quadrilateral Grids. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-05591-6_64

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