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.
Sponsorship
Irish Research Council for Science, Engineering and Technology
Type of Material
Journal Article
Publisher
Wiley
Journal
Quarterly Journal of the Royal Meteorological Society