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An inherently mass‐conserving iterative semi‐implicit semi‐Lagrangian discretization of the non‐hydrostatic vertical‐slice equations
Author(s) -
Melvin Thomas,
Dubal Mark,
Wood Nigel,
Staniforth Andrew,
Zerroukat Mohamed
Publication year - 2010
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.603
Subject(s) - discretization , iterative method , hydrostatic equilibrium , mathematics , conservation of mass , scheme (mathematics) , constant (computer programming) , mathematical analysis , computer science , mechanics , mathematical optimization , physics , quantum mechanics , programming language
Recently an inherently mass‐conserving semi‐Lagrangian transport scheme has been successfully coupled to an iterative semi‐implicit scheme in a global shallow‐water‐equation (SWE) model. Here that methodology is extended and applied to an iterative semi‐implicit semi‐Lagrangian (SISL) compressible, non‐hydrostatic vertical‐slice model, in which the constant reference state of the SWE model is now replaced by a vertically varying reference state. An advantage of this approach is that it preserves the same basic structure as the interpolating, non‐mass‐conserving, iterative SISL model. The resulting mass‐conserving model is applied to a standard set of test problems for such models and compared with results from both the literature and the interpolating, iterative SISL version of the model. © Crown Copyright 2010. Reproduced with the permission of HMSO. Published by John Wiley & Sons, Ltd.