Monge ampere based moving mesh methods with applications to numerical weather prediction
Seminar Room 1, Newton Institute
Moving mesh methods can be very effective for problems with many scales such as those which arise in numerical weather prediction and data assimilation. However traditional moving mesh methods can have problems with implementation and mesh tangling which have made them less effective than other adaptive methods for problems in meteorology. In this talk I will describe a moving mesh method based on ideas in the theory of optimal transport which derives a mesh by solving a Monge-Ampere equation. This can then be coupled to a CFD solver to provide an effective method for solving multiscale incompressible flows. I will describe the method and apply it to several meteorological problems.
Joint work with mike Cullen , chiara piccolo , Emily Walsh and Phil Browne