25 citations · 53 across the 8 of their papers we have counts for
Showing 2020 · math.NAShow all
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math.NA2020★ 10 cited
Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere
David Lee, Artur Palha
A new horizontally explicit/vertically implicit (HEVI) time splitting scheme for atmospheric modelling is introduced, for which the horizontal divergence terms are applied within t…
math.NA2020★ 8 cited
An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics
David Lee
An energetically balanced, implicit integrator for non-hydrostatic vertical atmospheric dynamics on the sphere is presented. The integrator allows for the exact balance of energy e…
math.NA2020★ 8 cited
Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems
David Lee
Upwinded mass fluxes are described and analysed for advection operators discretised using mixed mimetic spectral elements. This involves a Petrov-Galerkin formulation by which the…