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Behavior of linear reconstruction techniques on unstructured meshes. (English) Zbl 0856.76070
Several reconstruction schemes on meshes with quadrilateral and triangular tessellations were assessed. Measured were the order of accuracy, the absolute error, and the convergence properties of the methods employed. The results are discussed in detail for the cases of a supersonic, inviscid flow through a channel with a four percent circular arc, a supersonic vortex, and for a flow past a NACA 0012 wing section for a free stream Mach number $$\text{Ma}=0.8$$ and an angle of attack of $$\alpha=1.25$$ degrees. One of the major findings was that the additional edges in triangular meshes do not lead to any accuracy advantage over quadrilateral meshes, but require larger storage capacities and computation times. The paper suggests mesh generation strategies along these lines.
Reviewer: E.Krause (Aachen)

##### MSC:
 76M99 Basic methods in fluid mechanics 76J20 Supersonic flows 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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