3 papers
math.NA2026
A perfectly matched layer for damping vertically propagating waves in the compressible Boussinesq equations
Timothy C. Andrews, Kenneth Duru, David Lee
This paper introduces a new application of the perfectly matched layer (PML) for mitigating model top wave reflections in geophysical fluid models. Typically, a strong Laplacian or…
math.NA2026
A conservative, discontinuous Galerkin, tracer transport scheme using compatible finite elements
Timothy C. Andrews, Thomas M. Bendall
This paper outlines a conservative transport scheme for scalar tracers within a compatible finite element model for geophysical fluid equations. Instead of using the advective tran…
math.NA2026
Stability analyses of divergence and vorticity damping on gnomonic cubed-sphere grids
Timothy C. Andrews, Christiane Jablonowski
Divergence and vorticity damping, which operate upon horizontal divergence and relative vorticity, are explicit diffusion mechanisms used in dynamical cores to ensure stability. To…