C. J. Budd
Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem
Budd, C. J.; Cullen, M. J.P.; Walsh, E. J.
M. J.P. Cullen
Emily Walsh Emily3.Walsh@uwe.ac.uk
Senior Lecturer in Mathematics
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 coupled successfully to a pressure correction method for the solution of incompressible flows with significant convection and subject to Coriolis forces. This method can be used to resolve evolving small scale features in the flow. In this paper the method is then applied to the computation of the solution to the Eady problem which is observed to develop large gradients in a finite time. The moving mesh method is shown to work and be stable, and to give significantly better resolution of the evolving singularity than a fixed, uniform mesh. © 2012 Elsevier Inc.
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
|Journal Article Type||Article|
|Publication Date||Mar 1, 2013|
|Journal||Journal of Computational Physics|
|Peer Reviewed||Peer Reviewed|
|Keywords||moving mesh method, Monge Ampére, numerical weather prediction, Eady problem|
This file is under embargo due to copyright reasons.
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