Application of a variational method for generating adaptive gridsThe application of variational methods for generating adaptive grids is not as straightforward as one is led to believe. Proper scaling, suitable weight functions and appropriate clustering on boundaries must be employed to obtain a satisfactory grid. This work, which is based on the framework developed by Brackbill and Saltzman, provides simple methods for determining scaling and investigates possible options for selecting the weight function and clustering points on the boundaries. The concepts developed here are applied to two two-dimensional problems: a model problem based on Burger's equation which contains two length scales and, transonic flow past airfoils using the Euler equations.
Document ID
19850037633
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kreis, R. I. (North Carolina State Univ. Raleigh, NC, United States)
Hassan, H. A. (North Carolina State University Raleigh, NC, United States)
Thames, F. C. (NASA Langley Research Center Hampton, VA, United States)