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A numerical method is proposed to evaluate gradients on non-uniform, non-orthogonal 3D 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 3D numerical simulations of a DC plasma torch, making use of the proposed method, are presented.

Additional information

Authors: KLINGER L, RTSE, Sierre (CH);VOS J B, CFSE Engineering, Lausanne (CH);APPERT K, Centre de Recherches en Physique des Plasmas, École Polytechnique Fédérale de Lausanne (CH)
Bibliographic Reference: EPFL Internal report LRP 748/03, February 2003. 19pp.
Availability: Available free of charge from: École Polytechnique Fédérale de Lausanne (EPFL), Ecublens, CH-1015 Lausanne Fax +41-21-6934747 Also available online at
ISBN: ISSN: 0458-5895
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