{"id":14189,"date":"2024-04-25T14:24:01","date_gmt":"2024-04-25T19:24:01","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14189"},"modified":"2024-04-25T14:24:01","modified_gmt":"2024-04-25T19:24:01","slug":"ms-thesis-defense-mr-sven-bergmann","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/ms-thesis-defense-mr-sven-bergmann\/","title":{"rendered":"MS Thesis Defense: Mr. Sven Bergmann"},"content":{"rendered":"

\"\"Adding a Third Normal to CLUBB<\/h1>\n

Mr. Sven Bergmann
\nUniversity of Wisconsin-Milwaukee<\/p>\n

The Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer of an atmospheric model. This binormal approach, while computationally efficient, restricts the model\u2019s ability to capture the full spectrum of potential shapes encountered in real-world atmospheric data. This thesis proposes to introduce a third normal pdf component strategically positioned between the existing two, significantly enhancing the model\u2019s representational flexibility. This trinormal representation allows for a wider range of grid-layer shapes while permitting analytic solutions for certain higher order moments. The core of this work lies in deriving the necessary mathematical transformations for incorporating the third normal pdf seamlessly into the CLUBB framework. This thesis lists all formulas, inputs, and outputs associated with the extended model as well as gives an outline
\non how to check those equations. Additionally, it describes certain asymptotic behavior of the trinormal pdf under various parameter settings.<\/p>\n

Advisor:<\/strong> Prof. Vince Larson<\/p>\n

Committee Members:
\n<\/strong>Profs. Vince Larson, Peter Hinow, and David Spade<\/p>\n","protected":false},"excerpt":{"rendered":"

Adding a Third Normal to CLUBB Mr. Sven Bergmann University of Wisconsin-Milwaukee The Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer …<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[64],"class_list":["post-14189","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-defenses","cat_graduate-student-defenses"],"yoast_head":"\nMathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/ms-thesis-defense-mr-sven-bergmann\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MS Thesis Defense: Mr. Sven Bergmann\" \/>\n<meta property=\"og:description\" content=\"Adding a Third Normal to CLUBB Mr. Sven Bergmann University of Wisconsin-Milwaukee The Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer …\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/event\/ms-thesis-defense-mr-sven-bergmann\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_SVEN.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/ms-thesis-defense-mr-sven-bergmann\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/ms-thesis-defense-mr-sven-bergmann\\\/\",\"name\":\"MS Thesis Defense: Mr. Sven Bergmann - 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