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A comparative study of the performance of high resolution advection schemes in the context of data assimilation
Author(s) -
Akella S.,
Navon I. M.
Publication year - 2006
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1145
Subject(s) - advection , data assimilation , nonlinear system , mathematics , context (archaeology) , burgers' equation , piecewise linear function , flux limiter , shallow water equations , meteorology , mathematical analysis , physics , geology , partial differential equation , paleontology , quantum mechanics , thermodynamics
Abstract High resolution advection schemes have been developed and studied to model propagation of flows involving sharp fronts and shocks. So far the impact of these schemes in the framework of inverse problem solution has been studied only in the context of linear models. A detailed study of the impact of various slope limiters and the piecewise parabolic method (PPM) on data assimilation is the subject of this work, using the nonlinear viscous Burgers equation in 1−D. Also provided are results obtained in 2−D using a global shallow water equations model. The results obtained in this work may point out to suitability of these advection schemes for data assimilation in more complex higher dimensional models. Copyright © 2005 John Wiley & Sons, Ltd.