%0 Online Multimedia %A Shaw, James %D 2016 %T Atmospheric transport over terrain %U https://figshare.com/articles/presentation/Atmospheric_transport_over_terrain/4307957 %R 10.6084/m9.figshare.4307957.v1 %2 https://ndownloader.figshare.com/files/7025246 %K terrain %K transport %K meshing %K advection %K orography %K cut cells %K Meteorology %X
Almost all operational weather forecast models represent terrain using terrain-following meshes that become highly-distorted over steep slopes.  An alternative is the cut cell method but, while cut cell meshes are less distorted compared to terrain-following meshes, arbitrarily small cut cells are created that constraint the time-step for explicit numerical methods.

This motivates a new type of mesh that avoids arbitrarily small cells and most mesh distortions.  Combined with a new transport scheme that is formulated for stability and accuracy over steep slopes on arbitrarily-structured meshes, we alleviate numerical instabilities and inaccuracies associated with traditional transport schemes.

Presented at the Royal Meteorological Society South East meeting at the University of Reading, 7th December 2016. %I figshare