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Enhancing control of grid distribution in algebraic grid generation
Author(s) -
Steinthorsson E.,
Shih T. I.P.,
Roelke R. J.
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650150304
Subject(s) - grid , mesh generation , curvature , computer science , boundary (topology) , geometry , mathematics , computational science , topology (electrical circuits) , algorithm , mathematical analysis , engineering , finite element method , structural engineering , combinatorics
Abstract Three techniques are presented to enhance the control of grid‐point distribution for a class of algebraic grid generation methods known as the two‐, four‐ and six‐boundary methods. First, multidimensional stretching functions are presented, and a technique is devised to construct them based on the desired distribution of grid points along certain boundaries. Second, a normalization procedure is proposed which allows more effective control over orthogonality of grid lines at boundaries and curvature of grid lines near boundaries. And third, interpolating functions based on tension splines are introduced to control curvature of grid lines in the interior of the spatial domain. In addition to these three techniques, consistency conditions are derived which must be satisfied by all user‐specified data employed in the grid generation process to control grid‐point distribution. The usefulness of the techniques developed in this study was demonstrated by using them in conjunction with the two‐ and four‐boundary methods to generate several grid systems, including a three‐dimensional grid system in the coolant passage of a radial turbine blade with serpentine channels and pin fins.