2 papers
math.OC2025
A definition of the background state of the atmosphere using optimal transport
Charlie Egan, John Methven, David P. Bourne +1
The dynamics of atmospheric disturbances are often described in terms of displacements of air parcels relative to their locations in a notional background state. Modified Lagrangia…
math.NA2017
Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes
James Shaw, Hilary Weller, John Methven +1
Including terrain in atmospheric models gives rise to mesh distortions near the lower boundary that can degrade accuracy and challenge the stability of transport schemes. Multidime…