{"id":2899,"date":"2026-10-08T11:34:19","date_gmt":"2026-10-08T09:34:19","guid":{"rendered":"https:\/\/orbisterrarum.es\/?p=2899"},"modified":"2026-10-08T11:35:19","modified_gmt":"2026-10-08T09:35:19","slug":"ai-navier-stokes-and-flood-risk-studies-what-connects-them","status":"publish","type":"post","link":"https:\/\/orbisterrarum.es\/en\/ai-navier-stokes-and-flood-risk-studies-what-connects-them\/","title":{"rendered":"AI, Navier\u2013Stokes and flood-risk studies: what connects them?"},"content":{"rendered":"<p class=\"wp-block-paragraph\">OpenAI\u2019s recent AI-generated proof addressing the Navier\u2013Stokes existence and smoothness problem has attracted attention beyond mathematics. Its relevance to hydraulic engineering is clear: these equations underpin our understanding of fluid motion.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;In @OrbisTerrarum\u00b4s flood-risk studies, tools such as HEC-RAS simulate how water moves across terrain, where it accumulates, and the depths and velocities it reaches.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;HEC-RAS 2D does not solve the complete three-dimensional Navier\u2013Stokes system directly. It uses depth-averaged shallow-water equations or their diffusion-wave approximation to turn fluid dynamics into practical engineering models.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;The significance is not an immediate change in flood modelling. It shows how AI could support scientific reasoning and complex research beyond automation and data processing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>","protected":false},"excerpt":{"rendered":"<p>OpenAI\u2019s recent AI-generated proof addressing the Navier\u2013Stokes existence and smoothness problem has attracted attention beyond mathematics. Its relevance to hydraulic engineering is [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2900,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-2899","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-noticias"],"_links":{"self":[{"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/posts\/2899","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/comments?post=2899"}],"version-history":[{"count":1,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/posts\/2899\/revisions"}],"predecessor-version":[{"id":2901,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/posts\/2899\/revisions\/2901"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/media\/2900"}],"wp:attachment":[{"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/media?parent=2899"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/categories?post=2899"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/orbisterrarum.es\/en\/wp-json\/wp\/v2\/tags?post=2899"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}