An accuracy study of mesh refinement on mapped grids
by D. Calhoun and R. J. LeVeque, Adaptive Mesh Refinement - Theory And Applications: Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, September, 2003. (T. Plewa, Ed.), Springer Verlag, Lecture Notes in Computational Science and Engineering, Vol. 41 (2003) pp. 91-102.

Abstract. We test a high-resolution wave-propagation algorithm for hyperbolic conservation laws on mapped quadrilateral and hexahedral grids in the context of adaptive mesh refinement. We discuss some of the issues related to using non-Cartesian grids with AMR and study a test problem in which a grid refinement interface is fixed in space on a highly skewed portion of a mapped grid. Smooth and shock-wave solutions to the Euler equations are used to investigate the possibility that spurious reflections or other numerical errors might be generated at a grid interface.

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bibtex entry:
@inproceedings{dc-rjl:amr03,
author = "D. Calhoun and R. J. LeVeque",
title = "An accuracy study of mesh refinement on mapped grids",
howpublished = "Submitted to Chicago AMR Workshop",
year = "2003",
booktitle="Adaptive Mesh Refinement - Theory And Applications: Proceedings of The Chicago Workshop On Adaptive Mesh Refinement Methods",
editor="T. Plewa",
publisher="Springer Verlag",
series="Lecture Notes in Computational Science and Engineering",
volume="41",
pages="91-102"
}