The authors Francois P. Hamon, Martin Schreiber, Michael L. Minion discuss in their paper solutions of test cases to solve prototypical climate/weather simulations with the PFASST parallel-in-time method. Those methods target on exploiting the extreme high degree of parallelism on future high-performance computing architectures.
This paper is based on spatial numerics to represent horizontal solutions of the atmosphere similar to the ones also used by the European Center for Medium-Range Weather Forecasts (ECMWF) and hence represents a milestone in these parallel-in-time approaches for climate/weather simulations.
Link. https://arxiv.org/abs/1904.05988
Dr. rer. nat. Martin Schreiber