Articles | Volume 20, issue 7
Research article
08 Jul 2016
Research article |  | 08 Jul 2016

A comparison of the modern Lie scaling method to classical scaling techniques

James Polsinelli and M. Levent Kavvas


Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
ED: Reconsider after major revisions (06 Apr 2016) by Nunzio Romano
AR by James Polsinelli on behalf of the Authors (14 May 2016)  Author's response    Manuscript
ED: Publish as is (25 May 2016) by Nunzio Romano
Short summary
This article summarizes the theory and demonstrates the technique of a new scaling method known as the Lie scaling. In the course of applying the method to two example problems, classical notions of dynamical and kinematic scaling are incorporated. The two example problems are a 2-D unconfined groundwater problem in a heterogeneous soil and a 1-D contaminant transport problem. The article concludes with comments on the relative strengths and weaknesses of Lie scaling and classical scaling.