This article is a U.S. Government work and is in the public domain in the U.S.A.
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Research Article
MPDATA: gauge transformations, limiters and monotonicity†
Article first published online: 15 SEP 2005
DOI: 10.1002/fld.1070
This article is a U.S. Government work and is in the public domain in the U.S.A. Published in 2005 by John Wiley & Sons, Ltd.
Issue
1097-0363/asset/cover.gif?v=1&s=4f4c032b9f06da7e1e8ac4e112013c5bf916f2e7 "International Journal for Numerical Methods in Fluids")
International Journal for Numerical Methods in Fluids
Special Issue: Multidimensional Positive Definite Advection Transport Algorithm Methods
Volume 50, Issue 10, pages 1193–1206, 10 April 2006
Additional Information
How to Cite
Margolin, L. G. and Shashkov, M. (2006), MPDATA: gauge transformations, limiters and monotonicity. Int. J. Numer. Meth. Fluids, 50: 1193–1206. doi: 10.1002/fld.1070
- †
Publication History
- Issue published online: 10 MAR 2006
- Article first published online: 15 SEP 2005
- Manuscript Accepted: 25 JUN 2005
- Manuscript Revised: 17 JUN 2005
- Manuscript Received: 30 MAR 2005
Funded by
- U.S. Department of Energy. Grant Number: W-7405-ENG-36
- Abstract
- References
- Cited By
Keywords:
- advection;
- remapping;
- nonoscillatory methods
Abstract
MPDATA is a flexible and computationally efficient methodology that has been applied to advection, remapping, and full fluid solvers. In this paper, we extend the fundamental concept, iterated upwind compensation of error, to incorporate a new degree of freedom—that of gauge transformations—with the goal of constructing a monotonicity preserving option for MPDATA. We further augment this scheme by adapting the idea of summing the recursive relations to improve the overall accuracy. This process leads to a theoretical connection of this MPDATA scheme to flux-limited algorithms. Published in 2005 by John Wiley & Sons, Ltd.