3 papers
math.NA2020
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.NA2019
A conservative, physically compatible, dual-field discretization for turbidity currents: with application to the lock-exchange problem
Gonzalo G. de Diego, Artur Palha, Marc Gerritsma
In this work we present a structure preserving discretization for turbidity currents based on a mass-, energy-, enstrophy-, and vorticity-conserving formulation for 2D incompressib…
math.NA2018
A Mixed Mimetic Spectral Element Model of the 3D Compressible Euler Equations on the Cubed Sphere
D. Lee, A. Palha
A model of the three-dimensional rotating compressible Euler equations on the cubed sphere is presented. The model uses a mixed mimetic spectral element discretization which allows…