Global advection transport model on hexagonal-pentagonal geodesic grid by multi-moment scheme

A 3rd order numerical model is developed for global advection transport computation. The multi-moment finite volume method has been implemented to the hexagonal-pentagonal geodesic grid for spherical geometry. Two kinds of moments, i.e. point value and volume-integrated average, are used as the constraint conditions to derive the time evolution equations to update the computational variables, which are in the present model the values defined at the specified points over each mesh element. The numerical model has rigorous numerical conservation and 3rd order accuracy, and provides an accurate and practical formulation for advection calculation in the hexagonal-pentagonal type geodesic grid.