A comparative study of the performance of high resolution advection schemes in the context of data assimilation

• Published in: International journal for numerical methods in fluids Vol. 51; no. 7; pp. 719 - 748
• Main Authors: Akella, S., Navon, I. M.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.07.2006; Wiley
• Subjects: adjoint model; Burgers equation; Computational methods in fluid dynamics; data assimilation; Earth, ocean, space; Exact sciences and technology; External geophysics; finite volume methods; Fluid dynamics; Fundamental areas of phenomenology (including applications); General circulation. Atmospheric waves; high resolution schemes; Meteorology; Physics; Computational fluid dynamics; Digital simulation; adjoint model; Modelling; Large scale; Burgers equation; high resolution schemes; Numerical convergence; Finite volume methods; Data assimilation; Shallow-water equations; Meteorology
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.1145

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.