%0 Journal Article %1 natale2016compatible %A Natale, Andrea %A Shipton, Jemma %A Cotter, Colin J. %D 2016 %J Dynamics and Statistics of the Climate System, %K 76m10-finite-element-methods-in-fluid-mechanics 76u60-geophysical-flows 86a10-meteorology-and-atmospheric-physics %N 1 %R 10.1093/climsys/dzw005 %T Compatible finite element spaces for geophysical fluid dynamics %U https://academic.oup.com/climatesystem/article/1/1/dzw005/2562890 %V 1 %X Compatible finite elements provide a framework for preserving important structures in equations of geophysical fluid dynamics and are becoming important in their use for building atmosphere and ocean models. We survey the application of compatible finite element spaces to geophysical fluid dynamics, including the application to the non-linear rotating shallow water equations, and the three-dimensional compressible Euler equations. We summarize analytic results about dispersion relations and conservation properties and present new results on approximation properties in three dimensions on the sphere and on hydrostatic balance properties.

@article{natale2016compatible, abstract = {Compatible finite elements provide a framework for preserving important structures in equations of geophysical fluid dynamics and are becoming important in their use for building atmosphere and ocean models. We survey the application of compatible finite element spaces to geophysical fluid dynamics, including the application to the non-linear rotating shallow water equations, and the three-dimensional compressible Euler equations. We summarize analytic results about dispersion relations and conservation properties and present new results on approximation properties in three dimensions on the sphere and on hydrostatic balance properties.}, added-at = {2020-05-21T23:04:20.000+0200}, author = {Natale, Andrea and Shipton, Jemma and Cotter, Colin J.}, biburl = {https://www.bibsonomy.org/bibtex/27d312bbccc5de59de3dda3a2cecc67e8/gdmcbain}, doi = {10.1093/climsys/dzw005}, interhash = {bde03991b76e02c46f628abf99e391c2}, intrahash = {7d312bbccc5de59de3dda3a2cecc67e8}, journal = {Dynamics and Statistics of the Climate System,}, keywords = {76m10-finite-element-methods-in-fluid-mechanics 76u60-geophysical-flows 86a10-meteorology-and-atmospheric-physics}, month = nov, number = 1, timestamp = {2020-05-22T01:26:31.000+0200}, title = {Compatible finite element spaces for geophysical fluid dynamics}, url = {https://academic.oup.com/climatesystem/article/1/1/dzw005/2562890}, volume = 1, year = 2016 }