Dynamically optimal models of atmospheric motion
<p>A derivation of discrete dynamical equations for the dry atmosphere in the absence of dissipative processes based on the least action (i.e. Hamilton's) principle is presented. This approach can be considered the finite-element method applied to the calculation and minimization of the a...
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Copernicus Publications
2024-12-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | https://npg.copernicus.org/articles/31/559/2024/npg-31-559-2024.pdf |
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| author | A. G. Voronovich |
| author_facet | A. G. Voronovich |
| author_sort | A. G. Voronovich |
| collection | DOAJ |
| description | <p>A derivation of discrete dynamical equations for the dry atmosphere in the absence of dissipative processes based on the least action (i.e. Hamilton's) principle is presented. This approach can be considered the finite-element method applied to the calculation and minimization of the action. The algorithm possesses the following characteristic features: </p><ol><li>
<p id="d2e83">For a given set of grid points and a given forward operator (i.e. the mode of interpolation), through the minimization of action, the algorithm ensures maximal closeness (in a broad sense) of the evolution of the discrete system to the motion of the continuous atmosphere (a dynamically optimal algorithm).</p></li><li>
<p id="d2e87">The grid points can be irregularly spaced, allowing for variable spatial resolution.</p></li><li>
<p id="d2e91">The spatial resolution can be adjusted locally while executing calculations.</p></li><li>
<p id="d2e95">By using a set of tetrahedra as finite elements the algorithm ensures a better representation of the topography (piecewise linear rather than staircase).</p></li></ol>
<p>The algorithm automatically calculates the evolution of passive tracers by following the trajectories of the fluid particles, which ensures that all tracer properties required a priori are satisfied. For testing purposes, the algorithm is realized in 2D, and a numerical example representing a convection event is presented.</p> |
| format | Article |
| id | doaj-art-86f0e5cd7a63400bb83b42944c73de6a |
| institution | OA Journals |
| issn | 1023-5809 1607-7946 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj-art-86f0e5cd7a63400bb83b42944c73de6a2025-08-20T02:19:11ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462024-12-013155956910.5194/npg-31-559-2024Dynamically optimal models of atmospheric motionA. G. Voronovich0NOAA Physical Sciences Laboratory, Boulder, CO 80305, USA<p>A derivation of discrete dynamical equations for the dry atmosphere in the absence of dissipative processes based on the least action (i.e. Hamilton's) principle is presented. This approach can be considered the finite-element method applied to the calculation and minimization of the action. The algorithm possesses the following characteristic features: </p><ol><li> <p id="d2e83">For a given set of grid points and a given forward operator (i.e. the mode of interpolation), through the minimization of action, the algorithm ensures maximal closeness (in a broad sense) of the evolution of the discrete system to the motion of the continuous atmosphere (a dynamically optimal algorithm).</p></li><li> <p id="d2e87">The grid points can be irregularly spaced, allowing for variable spatial resolution.</p></li><li> <p id="d2e91">The spatial resolution can be adjusted locally while executing calculations.</p></li><li> <p id="d2e95">By using a set of tetrahedra as finite elements the algorithm ensures a better representation of the topography (piecewise linear rather than staircase).</p></li></ol> <p>The algorithm automatically calculates the evolution of passive tracers by following the trajectories of the fluid particles, which ensures that all tracer properties required a priori are satisfied. For testing purposes, the algorithm is realized in 2D, and a numerical example representing a convection event is presented.</p>https://npg.copernicus.org/articles/31/559/2024/npg-31-559-2024.pdf |
| spellingShingle | A. G. Voronovich Dynamically optimal models of atmospheric motion Nonlinear Processes in Geophysics |
| title | Dynamically optimal models of atmospheric motion |
| title_full | Dynamically optimal models of atmospheric motion |
| title_fullStr | Dynamically optimal models of atmospheric motion |
| title_full_unstemmed | Dynamically optimal models of atmospheric motion |
| title_short | Dynamically optimal models of atmospheric motion |
| title_sort | dynamically optimal models of atmospheric motion |
| url | https://npg.copernicus.org/articles/31/559/2024/npg-31-559-2024.pdf |
| work_keys_str_mv | AT agvoronovich dynamicallyoptimalmodelsofatmosphericmotion |