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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i5-6.50
pages 617-646

The Global-Regional Model Interaction Problem: Analysis of Carpenter's Scheme and Related Issues

Assaf Mar-Or
Inter-Departmental Program for Applied Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
Dan Givoli
Department of Aerospace Engineering, Technion−Israel Institute of Technology, Haifa 32000, Israel; Faculty of Civil Engineering & Geosciences, Technical University of Delft, 2600 GA Delft, The Netherlands

Краткое описание

The multiscale global-regional model interaction problem for linear time-dependent waves is considered. The setup, which is sometimes called "nesting," arises in numerical weather prediction as well as in other fields concerning waves in very large domains. It involves the interaction of a crude global model and a fine limited-area (regional) model through an "open boundary." The multiscale nature of this general problem is described. A fundamental difficulty related to spurious modes, which prevents a trivial treatment of the problem, is discussed. The Carpenter scheme, originally proposed in a Note by K. M. Carpenter (Q. J. R. Met. Soc. 108:717−719,1982) for this type of problem, is then revisited in the context of the linear scalar wave equation. This scheme is analyzed here in the one-dimensional case. It is shown that the accuracy of the scheme hinges mainly on the numerical dispersion generated by the global model. Extension of the analysis to two dimensions is also discussed. Numerical experiments are presented for the Carpenter scheme in one dimension via some example problems, and conclusions are drawn about its performance. Ways of improving the scheme are indicated.


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