4 papers · 1 filter
Decoupled structure-preserving discretization of incompressible MHD equations with general boundary conditions
Yi Zhang, Artur Palha, Andrea Brugnoli +2
In the framework of a mixed finite element method, a structure-preserving formulation for incompressible magnetohydrodynamic (MHD) equations with general boundary conditions is pro…
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…
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…
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…