{"id":704,"date":"2019-12-13T17:34:56","date_gmt":"2019-12-13T21:34:56","guid":{"rendered":"https:\/\/www2.whoi.edu\/site\/aomip\/?page_id=704"},"modified":"2021-06-18T09:21:52","modified_gmt":"2021-06-18T13:21:52","slug":"advection-methods","status":"publish","type":"page","link":"https:\/\/www2.whoi.edu\/site\/aomip\/models\/details\/advection-methods\/","title":{"rendered":"Advection methods"},"content":{"rendered":"\n\n\t<h1>Advection methods<\/h1>\n\n<table id=\"tablepress-14\" class=\"tablepress tablepress-id-14 tablepress-responsive\">\n<thead>\n<tr class=\"row-1 odd\">\n\t<th class=\"column-1\"><p>code<\/p><\/th><th class=\"column-2\"><p>ocean tracers<\/p><\/th><th class=\"column-3\"><p>ocean momentum<\/p><\/th><th class=\"column-4\"><p>sea ice &amp; snow<\/p><\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n\t<td class=\"column-1\"><p>AWI<\/p><\/td><td class=\"column-2\"><p>FCT (Gerdes, Koberle, Willebrand,   1991)<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>corrected upstream (Smolarkiewicz,   1983)<\/p><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n\t<td class=\"column-1\"><p>GSFC<\/p><\/td><td class=\"column-2\"><p>Lin et al 1994<\/p><\/td><td class=\"column-3\"><p>?<\/p><\/td><td class=\"column-4\"><p>?<\/p><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><p>\u00a0DRAKKAR<\/p><\/td><td class=\"column-2\"><p>\u00a0TVD<\/p><\/td><td class=\"column-3\"><p>TVD<\/p><\/td><td class=\"column-4\"><p>\u00a02nd order moments (Prather,   1986)<\/p><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><p>OCMMG<\/p><\/td><td class=\"column-2\"><p>linear FE<\/p><\/td><td class=\"column-3\"><p>upstream viscosity<\/p><\/td><td class=\"column-4\"><p>upstream + remap<\/p><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><p>LANL<\/p><\/td><td class=\"column-2\"><p>3rd order upwind<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>incremental remapping (Lipscomb   &amp; Hunke, 2004)<\/p><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><p>LU<\/p><\/td><td class=\"column-2\"><p>modified Prather SOM<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>modified Prather SOM<\/p><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><p>NERSC<\/p><\/td><td class=\"column-2\"><p>MPDATA (Smolarkiwicz, 1984)<\/p><\/td><td class=\"column-3\"><p>PV-conserving (Sadourny, 1975)<\/p><\/td><td class=\"column-4\"><p>3rd order WENO (Jiang &amp; Shu,   1996)<\/p><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><p>NPS<\/p><\/td><td class=\"column-2\"><p>centered difference<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>centered difference<\/p><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><p>NYU<\/p><\/td><td class=\"column-2\"><p>MPDATA (Smolarkiwicz, 1984)<\/p><\/td><td class=\"column-3\"><p>PV-conserving (Sadourny)<\/p><\/td><td class=\"column-4\"><p>MPDATA. (Smolarkiwicz, 1984)<\/p><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><p>POL<\/p><\/td><td class=\"column-2\"><p>modified Prather (1986)<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>modified Prather (1986)<\/p><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><p>FEMAO<\/p><\/td><td class=\"column-2\"><p>upwind   streamline<\/p><\/td><td class=\"column-3\"><p>FE   scheme<\/p><\/td><td class=\"column-4\"><p>upwind   streamline<\/p><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><p>INMOM<\/p><\/td><td class=\"column-2\"><p>centered 2nd order<\/p><\/td><td class=\"column-3\"><p>centered 2nd order<\/p><\/td><td class=\"column-4\"><p>upwind<\/p><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><p>RCO<\/p><\/td><td class=\"column-2\"><p>modified QUICK (Webb et al., 1998)<\/p><\/td><td class=\"column-3\"><p>modified QUICK (Webb et al., 1998)<\/p><\/td><td class=\"column-4\"><p>upstream<\/p><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><p>UCL<\/p><\/td><td class=\"column-2\"><p>centered 2nd order<\/p><\/td><td class=\"column-3\"><p>centered 2nd order<\/p><\/td><td class=\"column-4\"><p>2nd order moments (Prather, 1986)<\/p><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><p>UW<\/p><\/td><td class=\"column-2\"><p>centered difference<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>centered difference<\/p><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><p>DAL<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><p>FSU<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><p>GFDL<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><p>IARC-A<\/p><\/td><td class=\"column-2\"><p>UTOPIA + QUICKEST<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>weighted upstream<\/p><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><p>IARC-B<\/p><\/td><td class=\"column-2\"><p>UTOPIA + QUICKEST<\/p><\/td><td class=\"column-3\"><p>enstrophy preserving<\/p><\/td><td class=\"column-4\"><p>weighted upstream<\/p><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><p>ECCO2<\/p><\/td><td class=\"column-2\"><p>7<sup>th<\/sup> order monotonicity-preserving (Direct space time\u00a0 with flux limiter) [Daru and Tenaud, 2004]<\/p><\/td><td class=\"column-3\"><p>vector invariant<\/p><\/td><td class=\"column-4\"><p>centered 2<sup>nd<\/sup> order<\/p><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><p>MIT<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><p>NCAR<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><p>NPI<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><p>UMASD<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><p>NOCS\/ORCA25<\/p><\/td><td class=\"column-2\"><p>TVD<\/p><\/td><td class=\"column-3\"><p>Energy-enstrophy conserving<\/p><\/td><td class=\"column-4\"><p>2nd order moments (Prather, 1986)<\/p><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><p>MCGU<\/p><\/td><td class=\"column-2\"><p>\u00a0<\/p><\/td><td class=\"column-3\"><p>\u00a0<\/p><\/td><td class=\"column-4\"><p>\u00a0<\/p><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><p>LOCEAN<\/p><\/td><td class=\"column-2\"><p>centered 2<sup>nd<\/sup> order +   TVD scheme<\/p><\/td><td class=\"column-3\"><p>centered 2nd order<\/p><\/td><td class=\"column-4\"><p>2nd order moments (Prather, 1986)<\/p><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><p>IOS<\/p><\/td><td class=\"column-2\"><p>modified Prather (1986)<\/p><\/td><td class=\"column-3\"><p>centered difference<\/p><\/td><td class=\"column-4\"><p>modified Prather (Merryfield &amp;   Holloway, 2002)<\/p><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-14 from cache -->\n\n","protected":false},"excerpt":{"rendered":"<p>Advection methods<\/p>\n","protected":false},"author":83,"featured_media":0,"parent":639,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"tpl-sidebar.php","meta":{"advanced-sidebar-menu\/link-title":"","advanced-sidebar-menu\/exclude-page":false},"_links":{"self":[{"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/pages\/704"}],"collection":[{"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/users\/83"}],"replies":[{"embeddable":true,"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/comments?post=704"}],"version-history":[{"count":3,"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/pages\/704\/revisions"}],"predecessor-version":[{"id":1678,"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/pages\/704\/revisions\/1678"}],"up":[{"embeddable":true,"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/pages\/639"}],"wp:attachment":[{"href":"https:\/\/www2.whoi.edu\/site\/aomip\/wp-json\/wp\/v2\/media?parent=704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}