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Elliptic Grid Control on a Discrete Level

Niederdrenk, Peter and Olaf Brodersen

Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.23-29, October 1999

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Peter Niederdrenk
1DLR, Institute for Fluid Dynamics, Bunsenstr. 10, D-37073 Gottingen, Germany
Email: peter.niederdrenk@dlr.de

Olaf Brodersen
2DLR Institute for Design Aerodynamics, Lilienthalplatz 7, D-38 108 Braunschweig
Email: olaf.brodersen@dlr.de

Abstract
Considering a grid cell with a single central point the solution of the discretized Laplace equation may be conceived as a weighted average of points on the cell boundary. Our grid control method is based on a local perturbation of the numerical solution to the Laplace equation by specifying line-wise central target points relative to the orientation of and the distance from the cell's bounding faces. Simple one-dimensional weighting functions allow to extend the overall control of grid line spacing and direction from the boundaries into the field.

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