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**Finite volume solutions of convection-diffusion test problems.**
*(English)*
Zbl 0797.76072

The cell-vertex formulation of the finite volume method has been developed and widely used to model inviscid flows in aerodynamics. The purpose of the present paper is two-fold: first we have applied this scheme to a well-known convection-diffusion model problem, involving flow round a \(180^ \circ\) bend. Our second purpose is to gather together various approaches to the analysis of the corresponding one-dimensional problem and to draw attention to the supra-convergence phenomena enjoyed by the proposed methods.

### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

76R05 | Forced convection |

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\textit{J. A. Mackenzie} and \textit{K. W. Morton}, Math. Comput. 60, No. 201, 189--220 (1993; Zbl 0797.76072)

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### References:

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