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A numerical method is proposed to evaluate gradients on non-uniform, non-orthogonal, three-dimensional structured meshes of hexahedra, as commonly used by finite volume methods. The method uses isoparametric transforms on tetrahedra to evaluate the gradient on a regular mesh and transform it back to the general mesh. It provides second-order accuracy, even,on highly non-orthogonal meshes. Results of stationary three-dimensional numerical simulations of a direct current plasma torch, making use of the proposed method, are presented. (C) 2003 Elsevier Ltd. All rights reserved.
Annalisa Buffa, Pablo Antolin Sanchez, Emiliano Cirillo