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APPLICATION OF A SELF-ADAPTIVE GRID METHOD TO COMPLEX FLOWS

By G. S. Deiwert, E. Venkatapathy, C. Davies, J. Djomehri and K. AbrahamsonG. S. Deiwen, E. Venkatapathy, C. Davies, J. Djomehri and K. Abrahamson

Abstract

A directional-split, modular, user-friendly grid point distribution code is applied to several test problems. The code is self-adaptive in the sense that grid point spacing is determined by user-specified constants denoting maximum and minimum grid spacings and constants relating the relative influence of smoothness and orthogonality. Estimates of truncation error, in terms of flow-field gradients and/or geometric features, are used to determine the point distribution. Points are redistributed along grid lines in a specified direction in an elliptic manner over a user-specified subdomain, while orthogonality and smoothness are controlled in a parabolic (marching) manner in the remaining directions. Multidlrectional adaption is achieved by sequential application of the method in each coordinate direction. The flow-field solution is redistributed onto the newly distributed grid points after each unidirectional adaption by a simple one-dimensional interpolation scheme. For time-accurate schemes such interpolation is not necessary and time-dependent metrics are carried in the fluid dynamic equations to account for grid movement. THE METHOD The grid adaption method used herein is a pointwise redistribution of node points based on an approximation of the three-dimensional variational method of Brackbill and Saltzman (1982). Their variationa

Year: 1989
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.1988
Provided by: CiteSeerX
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