Researchers: John Drake, Joey Huang

Among other geophysical flows, the shallow water equations can be cast in a Hamiltonian formulation. New developments in numerical simulation of Hamiltonian systems employing symplectic maps, high order accurate and stable time integration methods seem to be promising alternatives to the standard numerical methods. This project investigates the application of theory to practical solution algorithms.

Future Directions:

Long time integrations with accurate asymptotics