Abstract In this paper, we study the well-posedness properties of a stochastic rotating shallow water system. An inviscid version model has first been derived in Holm (Proc R Soc A 471:20140963, 2015) and noise is chosen according to Stochastic Advection by Lie Transport theory presented 2015). The system perturbed modulated function that not Lipschitz norm where sought. We show admits unique m...

Fairness is an important issue when benchmarking parallel computers using application codes. The best parallel algorithm on one platform may not be the best on another. While it is not feasible to reevaluate parallel algorithms and reimplement large codes whenever new machines become available, it is possible to embed algorithmic options into codes that allow them to be \tuned" for a particular...

A forced shallow-water model is used to understand the role of diabatic and frictional effects in the generation, maintenance, and breakdown of the hurricane eyewall potential vorticity (PV) ring. Diabatic heating is parameterized as an annular mass sink of variable width and magnitude, and the nonlinear evolution of tropical storm–like vortices is examined under this forcing. Diabatic heating ...

The cubed-sphere grid of gnomonic type [ 7, 8] is used in this study. The grid is generated by mapping the six faces of an inscribed cube to the sphere surface using gnomonic projection. The six expanded patches are continuously attached together with proper boundary conditions. On each patch, the expressions of the SWEs in local curvilinear coordinates (x, y) ∈ [−π/4, π/4] are identical. When ...

The spectral element method for the two-dimensional shallow water equations on the sphere is presented. The equations are written in conservation form and the domains are discretized using quadrilateral elements obtained from the generalized icosahedral grid introduced previously (Giraldo FX. Lagrange– Galerkin methods on spherical geodesic grids: the shallow water equations. Journal of Computa...

In this paper we perform a study using the Maximum Likelihood Ensemble Filter, MLEF, developed at the Cooperative Institute for Research in the Atmosphere (CIRA), Colorado State University (CSU), and Florida State University (FSU), with CSU’s 2-dimensional shallow water equations model on the sphere. The aim of this study is to find the optimal number of ensemble members, with respect to the ro...