Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem
(2013)
Journal Article
Budd, C. J., Cullen, M. J., & Walsh, E. J. (2013). Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem. Journal of Computational Physics, 236(1), 247-270. https://doi.org/10.1016/j.jcp.2012.11.014
We derive a moving mesh method based upon ideas from optimal transport theory which is suited to solving PDE problems in meteorology. In particular we show how the Parabolic Monge-Ampére method for constructing a moving mesh in two-dimensions can be... Read More about Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem.