Calculation of the future locations of astronomical bodies?
The difference is, Astronomical models can be simplified significantly, whereas climate models must be high fidelity to produce accurate results.
To me the critical question is at what fidelity are the models useful for our (humanities) purposes?
If our purpose is to predict climate and its impact we will need at least +/- 0.1C at a resolution of 100km at a timestep of 1 month. It must be possible to do mesh refinements to determine how accuracy changes with changing resolution, and then combine that with the prior resolution conditions to choose an appropriate mesh.
As far as I know most modern climate models are accurate to within a degree for at least a 30 year range. I haven't looked at the mesh sizes for a while but I'm sure someone has done something similar.
The difference is, Astronomical models can be simplified significantly, whereas climate models must be high fidelity to produce accurate results.
To me the critical question is at what fidelity are the models useful for our (humanities) purposes?
If our purpose is to predict climate and its impact we will need at least +/- 0.1C at a resolution of 100km at a timestep of 1 month. It must be possible to do mesh refinements to determine how accuracy changes with changing resolution, and then combine that with the prior resolution conditions to choose an appropriate mesh.
As far as I know most modern climate models are accurate to within a degree for at least a 30 year range. I haven't looked at the mesh sizes for a while but I'm sure someone has done something similar.