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International Conference on Finite Volumes for Complex Applications

FVCA 2017: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems pp 437–445Cite as

A Two-Dimensional Complete Flux Scheme in Local Flow Adapted Coordinates

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 200))

Abstract

We present a formulation of the two-dimensional complete flux (CF) scheme in terms of local orthogonal coordinates adapted to the flow, i.e., one coordinate axis is aligned with the local velocity field and the other one is perpendicular to it. This approach gives rise to an advection-diffusion-reaction boundary value problem (BVP) for the flux component in the local flow direction. For the other (diffusive) flux component we use central differences. We will demonstrate the performance of the scheme for several examples.

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References

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600MB, Eindhoven, The Netherlands

    Jan ten Thije Boonkkamp, Martijn Anthonissen & Ruben Kwant

Authors
  1. Jan ten Thije Boonkkamp
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  2. Martijn Anthonissen
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  3. Ruben Kwant
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Corresponding author

Correspondence to Jan ten Thije Boonkkamp .

Editor information

Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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ten Thije Boonkkamp, J., Anthonissen, M., Kwant, R. (2017). A Two-Dimensional Complete Flux Scheme in Local Flow Adapted Coordinates. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_46

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