Laplace transform integration of the shallow-water equations. Part 2: Lagrangian formulation and orographic resonance
|Title:||Laplace transform integration of the shallow-water equations. Part 2: Lagrangian formulation and orographic resonance||Authors:||Clancy, Colm
|Permanent link:||http://hdl.handle.net/10197/2871||Date:||Apr-2011||Abstract:||In this paper we combine the Laplace transform (LT) scheme with a semi- Lagrangian advection scheme, and implement it in a shallow water model. It is compared to a reference model using the semi-implicit (SI) scheme, with both Eulerian and Lagrangian advection. We show that the LT scheme is accurate and computationally competitive with these reference schemes. We also show, both analytically and numerically, that the LT scheme is free from the problem of orographic resonance that is found with semi-implicit schemes.||Funding Details:||Irish Research Council for Science, Engineering and Technology||Type of material:||Journal Article||Publisher:||Wiley||Copyright (published version):||2011, Royal Meteorological Society||Keywords:||Numerical weather prediction; Time integration; Filtering||Subject LCSH:||Numerical weather forecasting
|DOI:||10.1002/qj.805||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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