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Numerical generation of two-dimensional grids by the use of Poisson equations with grid control at boundariesA method for generating boundary-fitted, curvilinear, two dimensional grids by the use of the Poisson equations is presented. Grids of C-type and O-type were made about airfoils and other shapes, with circular, rectangular, cascade-type, and other outer boundary shapes. Both viscous and inviscid spacings were used. In all cases, two important types of grid control can be exercised at both inner and outer boundaries. First is arbitrary control of the distances between the boundaries and the adjacent lines of the same coordinate family, i.e., stand-off distances. Second is arbitrary control of the angles with which lines of the opposite coordinate family intersect the boundaries. Thus, both grid cell size (or aspect ratio) and grid cell skewness are controlled at boundaries. Reasonable cell size and shape are ensured even in cases wherein extreme boundary shapes would tend to cause skewness or poorly controlled grid spacing. An inherent feature of the Poisson equations is that lines in the interior of the grid smoothly connect the boundary points (the grid mapping functions are second order differentiable).
Document ID
19810006208
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Sorenson, R. L. (NASA Ames Research Center Moffett Field, CA, United States)
Steger, J. L. (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1980
Publication Information
Publication: NASA. Langley Research Center Numerical Grid Generation Tech.
Subject Category
Numerical Analysis
Accession Number
81N14722
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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