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Orthogonal grid generation for Navier–Stokes computations
Author(s) -
Nair Manoj T.,
Sengupta T. K.
Publication year - 1998
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/(sici)1097-0363(19980815)28:2<215::aid-fld709>3.0.co;2-4
Subject(s) - orthogonality , mathematics , grid , naca airfoil , navier–stokes equations , incompressible flow , compressibility , mesh generation , mathematical analysis , flow (mathematics) , reynolds number , geometry , mechanics , finite element method , physics , turbulence , thermodynamics
Body conforming orthogonal grids were generated using a fast hyperbolic method for aerofoils, and were used to solve the Navier–Stokes equation in the generalized orthogonal system for the first time for time accurate simulation of incompressible flow. For grid generation, the Beltrami equation and the definition equation for the orthogonality are solved using a finite difference method. The grids generated around aerofoils by this method have better orthogonality than the results published by earlier investigators. The Navier–Stokes equation at Reynolds numbers of 3000 and 35 000 for NACA 0012 and NACA 0015 respectively, have been solved as an application. The obtained results match quite well with the corresponding experimental results. © 1998 John Wiley & Sons, Ltd.