A-O Isomorphisms

We are pursuing a novel approach to atmosphere-ocean modeling in which a single dynamical core is used to model both fluids. The model is developed in an 'r' coordinate - see below - which becomes a (scaled) pressure coordinate in the atmosphere and a (scaled) height coordinate in the ocean.

In the atmosphere:

In the ocean:

More details describing the isomorphism can be found here. The isomorphism is described in detail in Marshall et al (2003).