@inbook{5397adf2550a433bb4a5450b00fcd1ff,
title = "Atmospheric Transport Schemes: Desirable Properties and a Semi-Lagrangian View on Finite-Volume Discretizations",
abstract = "This chapter has twofold purpose. After a short introduction to the mass continuity equations in atmospheric models, desirable properties for mass transport schemes intended for meteorological applications are discussed in some detail. This includes a discussion on the complications caused by the non-linearity of most problems of interest that makes it hard to define accuracy and convergence as the {\textquoteleft}truth{\textquoteright} is not known. Thereafter, some finite-volume schemes from the atmospheric literature are reviewed and discussed. To complement the large existing literature on finite-volume schemes, a less frequently discussed semi-Lagrangian derivation of the finite-volume method is given that focuses on {\textquoteleft}remap-type{\textquoteright} schemes where the space and time discretizations are combined rather than separated. A discussion on the challenges in deriving accurate schemes intended for global models and non-traditional spherical grids is given as well.",
author = "Lauritzen, \{Peter H.\} and Ullrich, \{Paul A.\} and Nair, \{Ramachandran D.\}",
note = "Publisher Copyright: {\textcopyright} 2011, Springer-Verlag Berlin Heidelberg.",
year = "2011",
doi = "10.1007/978-3-642-11640-7\_8",
language = "English",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "185--250",
booktitle = "Lecture Notes in Computational Science and Engineering",
address = "Germany",
}