Title: A numerical treatment of the symmetry boundary condition via the finite gradient in the coordinate-free form

Authors: C.-J. Kim, S. T. Ro

Addresses: School of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-742, Korea. School of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-742, Korea

Abstract: A survey of literature reveals that available textbooks discuss the symmetry boundary conditions mainly with the orthogonal control volumes, probably because detailed discussion calls for a complicated coordinate transformation. In the present work, the symmetry boundary conditions are treated via the finite gradient recently developed. The compactness and clarity acquired by employing the finite gradient are noteworthy in handling the non-orthogonal control volumes.

Keywords: discretisation procedure, finite gradient, finite stress, non-orthogonal control volume, symmetry boundary.

DOI: 10.1504/PCFD.2002.003225

Progress in Computational Fluid Dynamics, An International Journal, 2002 Vol.2 No.2/3/4, pp.122 - 126

Published online: 19 Aug 2003 *

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