Numerical Simulation of Global Atmospheric Chemical Transport with Three-dimensional Adaptive Wavelet-based Mesh Refinement
In order to resolve the described above difficulty we developed Wavelet-based Adaptive Mesh Refinement (WAMR) method for numerical simulation of atmospheric chemical transport. The WAMR algorithm is a three-dimensional adaptive grid technique implemented for parallel architectures. The method introduces dynamically a fine grid in the regions where small spatial structures occur and a cruder grid in the regions of smooth solution behavior. Therefore, the algorithm allows minimization of the number of degrees of freedom for a prescribed accuracy and results in much more accurate solutions than conventional numerical methods implemented that use stationary uniform or quasi-uniform grids.
The results of three-dimensional numerical simulations of global atmospheric chemical transport obtained with the WAMR algorithm have been compared against conventional CTM computations. It has been shown that the method allows two orders of magnitude or more finer resolution than conventional stationary grids for the same total number of grid points. Therefore, the method provides a realistic opportunity to resolve most challenging multi-scale problems in the global atmospheric chemical transport on existing computers by producing accurate results at a relatively low computational cost.
This work is supported by a National Science Foundation grant under Award No. HRD-1036563.