An anisotropic diffusion finite volume algorithm using a small stencil. (English) Zbl 1426.76363
Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer. Springer Proc. Math. Stat. 78, 577-585 (2014).
Summary: This article presents a finite volume algorithm to solve anisotropic heterogeneous diffusion equations within the open source CFD software Code\(_-\)Saturne. This algorithm has the advantage to use a small stencil composed of face neighbouring cells only, which makes it easy to parallelize. The resolution is performed through an iterative process (fixed point Picard algorithm). Second order convergence in space is numerically obtained on various analytical test-cases and mesh sequences of the FVCA6 benchmark and the results are compared to the barycentric version of the SUSHI scheme [R. Eymard et al., IMA J. Numer. Anal. 30, No. 4, 1009–1043 (2010; Zbl 1202.65144)].
For the entire collection see [Zbl 1291.65005].
For the entire collection see [Zbl 1291.65005].
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
Citations:
Zbl 1202.65144Software:
Code_SaturneReferences:
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| [6] | EDF R&D: (2014). http://www.code-saturne.org |
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