A high-resolution finite difference method for weather and climate models

Abstract: Weather and climate modelling has been one of the major actors in scientific computing. The need for higher resolution for the current models has revealed problems, some of which can be solved by using the SBP-SAT method. Ground effects in the atmosphere, caused by e.g. trees, buildings or mountains may require the discrete grid to be adapted to fit the atmosphere. The work presented here combines grids with different resolution in the vertical direction to solve a simplified model of the atmosphere. The results suggest making minor adjustments to parts of the grid in conjunction with the grid adaptions creates an efficient solver for the heterogeneous atmosphere.