{"id":639,"date":"2019-05-31T10:21:14","date_gmt":"2019-05-31T13:21:14","guid":{"rendered":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/?p=639"},"modified":"2019-05-31T10:23:39","modified_gmt":"2019-05-31T13:23:39","slug":"curso-internacional-de-curta-duracao-numerical-solutions-in-water-resources-and-environmental-applications","status":"publish","type":"post","link":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/2019\/05\/31\/curso-internacional-de-curta-duracao-numerical-solutions-in-water-resources-and-environmental-applications","title":{"rendered":"Curso internacional de curta dura\u00e7\u00e3o: NUMERICAL SOLUTIONS IN WATER RESOURCES AND ENVIRONMENTAL APPLICATIONS"},"content":{"rendered":"\n<p style=\"font-weight: 400\"><strong>NUMERICAL SOLUTIONS IN WATER RESOURCES\u00a0<\/strong><strong>AND\u00a0 ENVIRONMENTAL APPLICATIONS<\/strong><\/p>\n<p style=\"font-weight: 400\"><strong>Professor: Jos\u00e9 Goes Vasconcelos (Universidade de Auburn \u2013 AL \u2013 EUA)<\/strong><\/p>\n<p style=\"font-weight: 400\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/www.researchgate.net\/profile\/Jose_Vasconcelos4\" data-saferedirecturl=\"https:\/\/www.google.com\/url?q=https:\/\/www.researchgate.net\/profile\/Jose_Vasconcelos4&amp;source=gmail&amp;ust=1559388198460000&amp;usg=AFQjCNEEQsCbdHpBftTCZxvsr-eSlTy4hg\">https:\/\/www.researchgate.net\/profile\/Jose_Vasconcelos4<\/a><\/p>\n<p style=\"font-weight: 400\">VAGAS LIMITADAS! \u2013 Pr\u00e9-inscri\u00e7\u00e3o:\u00a0<a href=\"mailto:g.ecotecno@gmail.com\">g.ecotecno@gmail.com<\/a>\u00a0at\u00e9 10 de junho de 2019.<\/p>\n<p style=\"font-weight: 400\">CARGA-HOR\u00c1RIA: 30 horas &#8211; Per\u00edodo do curso 17 e 27\/06\/2019 \u2013 (dias e hor\u00e1rio a combinar), podendo contabilizar 2 cr\u00e9ditos correspondentes nos Cursos de p\u00f3s-gradua\u00e7\u00e3o.<\/p>\n<p style=\"font-weight: 400\">Local: Centro de Tecnologia da UFSM<\/p>\n<p style=\"font-weight: 400\">P\u00fablico alvo: Alunos de Mestrado e Doutorado de Cursos de Engenharia<\/p>\n<p style=\"font-weight: 400\">O curso ser\u00e1 ministrado em portugu\u00eas, com material em ingl\u00eas.<\/p>\n<p style=\"font-weight: 400\">Pr\u00e9-requisitos: Conhecimentos de ingl\u00eas, ofim\u00e1tica e disciplinas de hidr\u00e1ulica. Recomend\u00e1vel possuir conhecimentos de programa\u00e7\u00e3o em qualquer linguagem.<\/p>\n<p style=\"font-weight: 400\">EMENTA:\u00a0<\/p>\n<p style=\"font-weight: 400\">Course Introduction<\/p>\n<ul>\n<li style=\"font-weight: 400\">Background and history of numerical modeling<\/li>\n<li style=\"font-weight: 400\">Fundamental concepts of numerical solutions<\/li>\n<li style=\"font-weight: 400\">Parts of a numerical solution<\/li>\n<li style=\"font-weight: 400\">Physical processes and mathematical models<\/li>\n<li style=\"font-weight: 400\">Numerical methods vs. numerical schemes<\/li>\n<li style=\"font-weight: 400\">Errors: types and sources. Accuracy<\/li>\n<li style=\"font-weight: 400\">Theoretical and practical Stability concepts<\/li>\n<li style=\"font-weight: 400\">Assignment 1 &#8211; Essay theme \u201cMy research interests and current available numerical solutions\u201d<\/li>\n<\/ul>\n<p style=\"font-weight: 400\">Introduction to Numerical solutions for Ordinary Differential Equations (ODEs)<\/p>\n<ul>\n<li style=\"font-weight: 400\">ODE definition and components: initial conditions, boundary conditions<\/li>\n<li style=\"font-weight: 400\">The example of a terminal velocity calculation \u2013 analytical solution<\/li>\n<li style=\"font-weight: 400\">Contrasting analytical and numerical solutions<\/li>\n<li style=\"font-weight: 400\">Numerical schemes for ODE solution<\/li>\n<li style=\"font-weight: 400\">Introducing Finite-Difference, Explicit schemes for ODEs<\/li>\n<li style=\"font-weight: 400\">Euler scheme \/ Runge-Kutta schemes<\/li>\n<\/ul>\n<p style=\"font-weight: 400\">Numerical solutions for Ordinary Differential Equations (ODEs)<\/p>\n<ul>\n<li style=\"font-weight: 400\">Revisiting Terminal Velocity Problem \u2013 numerical vs. analytical solution<\/li>\n<li style=\"font-weight: 400\">Applications of ODEs in water and environmental engineering<\/li>\n<li style=\"font-weight: 400\">Assignment 2 \u2013 Select one problem to solve:<\/li>\n<li style=\"font-weight: 400\">River backwater profile calculation<\/li>\n<li style=\"font-weight: 400\">Numerical solution of Streeter-Phelps equation<\/li>\n<li style=\"font-weight: 400\">Stormwater Detention emptying solution<\/li>\n<li style=\"font-weight: 400\">Hydrological routing using Muskingum-Cunge method<\/li>\n<li style=\"font-weight: 400\">Transmission main startup calculation<\/li>\n<\/ul>\n<p style=\"font-weight: 400\">Introduction to Numerical solutions for Partial Differential Equations (PDEs)<\/p>\n<ul>\n<li style=\"font-weight: 400\">Classification of PDEs<\/li>\n<li style=\"font-weight: 400\">Finite-Difference, Explicit schemes for PDEs<\/li>\n<li style=\"font-weight: 400\">A solver for a 2-D Laplace Equation using Excel<\/li>\n<li style=\"font-weight: 400\">Water Resources and Environmental Applications of PDEs<\/li>\n<li style=\"font-weight: 400\">Fischer\u2019s Initial Period Mixing of Contaminants in Rivers<\/li>\n<li style=\"font-weight: 400\">One-dimensional turbulent diffusion processes for contaminant spread<\/li>\n<li style=\"font-weight: 400\">Stream routing using the Kinematic Wave approach<\/li>\n<li style=\"font-weight: 400\">Simple dam break solver<\/li>\n<li style=\"font-weight: 400\">Assignment 3 \u2013 Select one PDE problem to solve<\/li>\n<\/ul>\n<p style=\"font-weight: 400\">Wrapping up \u2013 more complex applications<\/p>\n<ul>\n<li style=\"font-weight: 400\">St. Venant Equations with non-linear schemes<\/li>\n<li style=\"font-weight: 400\">Shallow water equations\/ Navier-Stokes equations<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-content\/uploads\/sites\/550\/2019\/05\/Curso-Goes-1024x576.jpg\" alt=\"\" class=\"wp-image-640\" srcset=\"https:\/\/www.ufsm.br\/app\/uploads\/sites\/550\/2019\/05\/Curso-Goes-1024x576.jpg 1024w, https:\/\/www.ufsm.br\/app\/uploads\/sites\/550\/2019\/05\/Curso-Goes-300x169.jpg 300w, https:\/\/www.ufsm.br\/app\/uploads\/sites\/550\/2019\/05\/Curso-Goes-768x432.jpg 768w, https:\/\/www.ufsm.br\/app\/uploads\/sites\/550\/2019\/05\/Curso-Goes.jpg 1280w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>NUMERICAL SOLUTIONS IN WATER RESOURCES\u00a0AND\u00a0 ENVIRONMENTAL APPLICATIONS Professor: Jos\u00e9 Goes Vasconcelos (Universidade de Auburn \u2013 AL \u2013 EUA) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0https:\/\/www.researchgate.net\/profile\/Jose_Vasconcelos4 VAGAS LIMITADAS! \u2013 Pr\u00e9-inscri\u00e7\u00e3o:\u00a0g.ecotecno@gmail.com\u00a0at\u00e9 10 de junho de 2019. CARGA-HOR\u00c1RIA: 30 horas &#8211; Per\u00edodo do curso 17 e 27\/06\/2019 \u2013 (dias e hor\u00e1rio a combinar), podendo contabilizar 2 cr\u00e9ditos correspondentes nos Cursos de p\u00f3s-gradua\u00e7\u00e3o. Local: Centro [&hellip;]<\/p>\n","protected":false},"author":883,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-639","post","type-post","status-publish","format-standard","hentry","category-noticias"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/posts\/639","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/users\/883"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/comments?post=639"}],"version-history":[{"count":0,"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/posts\/639\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/media?parent=639"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/categories?post=639"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ufsm.br\/cursos\/pos-graduacao\/santa-maria\/ppgec\/wp-json\/wp\/v2\/tags?post=639"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}