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A Finite Volume Solver for Radiation Hydrodynamics in the Non Equilibrium Diffusion Limit

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Finite Volumes for Complex Applications VI Problems & Perspectives

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 4))

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Abstract

We derive an Implicit Explicit finite volume scheme for the computation of radiation hydrodynamics. The convective part is handled through a classical upwind method while the reactive and diffusive parts are discretized thanks to a centered scheme. These results are compared to semi-analytic solutions obtained by Lowrie and Edwards [10].

MSC2010: 65M08, 76M12, 76N99, 80A99

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References

  1. Braeunig J.-P., Desjardins B., Ghidaglia J.-M., A totally Eulerian Finite Volume solver for multi-material fluid flows, Eur. J. Mech. B/Fluids, Vol. 28, pp. 475-485, 2009.

    Article  MathSciNet  MATH  Google Scholar 

  2. Buet, C., Despres B.: Asymptotic preserving and positive schemes for radiation hydrodynamic. J. Comput. Phys. 215, 717–740, 2006.

    Article  MathSciNet  MATH  Google Scholar 

  3. Chauveheid D., Thesis, École normale supérieure, in preparation.

    Google Scholar 

  4. Ghidaglia J.-M., Kumbaro A., Le Coq G.: On the numerical solution to two fluid models via a cell centered finite volume method, Eur. J. Mech. B/Fluids, 20, 841-867, 2001.

    Article  MathSciNet  MATH  Google Scholar 

  5. Ghidaglia J.-M., Flux schemes for solving monlinear systems of conservation laws, in Innovative Methods for Numerical Solution of Partial Differential Equations, Chattot J.J. and Hafez M. Eds, pp 232-242, WORLD SCIENTIFIC, Singapore, 2001.

    Google Scholar 

  6. Ghidaglia J.-M., Pascal F.: The normal flux method at the boundary for multidimensional finite volume approximations in CFD. Eur. J. Mech. B/Fluids, Vol. 24(1), pp. 1-17, 2005.

    Article  MathSciNet  MATH  Google Scholar 

  7. Kadioglu, S.Y., Knoll, D.A., Lowrie, R.B., Rauenzahn, R.M.: A second order self-consistent IMEX method for radiation hydrodynamics. J. Comput. Phys. 229, 8313–8332, 2010.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kadioglu, S.Y., Knoll: A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems. J. Comput. Phys. 229, 3237–3249 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  9. Lowrie, R.B., Morel, J.E.: The coupling of radiation and hydrodynamics. Astrophys. J. 521, 423–450, 1999.

    Article  Google Scholar 

  10. Lowrie, R.B., Edwards J.D.: Radiative shock solutions with grey nonequilibrium diffusion. Shock Waves 18, 129–143, 2008.

    Article  Google Scholar 

  11. Saad, Y.: Iterative methods for sparse linear systems 2nd edition, SIAM, 2003.

    Google Scholar 

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Author information

Authors and Affiliations

  1. CEA, DAM, DIF, F-91297, Arpajon, France

    D. Chauveheid & M. Peybernes

  2. CMLA, ENS Cachan and CNRS UMR 8635, 61 avenue du Président Wilson, F-94235, Cachan Cedex, France

    J.-M. Ghidaglia

Authors
  1. D. Chauveheid
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  2. J.-M. Ghidaglia
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  3. M. Peybernes
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Corresponding author

Correspondence to D. Chauveheid .

Editor information

Editors and Affiliations

  1. , Faculty of Mechanical Engineering, Czech Technical University, Karlovo náměstí 13, Prague, Czech Republic

    Jaroslav Fořt

  2. , Faculty of Mechanical Engineering, Czech Technical University, Karlovo náměstí 13, Prague, Czech Republic

    Jiří Fürst

  3. , Faculty of Mechanical Engineering, Czech Technical University, Karlovo náměstí 13, Prague, Czech Republic

    Jan Halama

  4. LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, rue Joliot Curie 39, Marseille, 13453, France

    Raphaèle Herbin

  5. LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, rue Joliot Curie 39, Marseille, 13453, France

    Florence Hubert

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Chauveheid, D., Ghidaglia, JM., Peybernes, M. (2011). A Finite Volume Solver for Radiation Hydrodynamics in the Non Equilibrium Diffusion Limit. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_26

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