LEADER 04195nam 22006855 450 001 9910349322203321 005 20250609110046.0 010 $a3-030-23957-8 024 7 $a10.1007/978-3-030-23957-2 035 $a(CKB)4100000009076184 035 $a(MiAaPQ)EBC5887770 035 $a(DE-He213)978-3-030-23957-2 035 $a(PPN)258870141 035 $a(MiAaPQ)EBC5918185 035 $a(EXLCZ)994100000009076184 100 $a20190826d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCompatible Finite Element Methods for Geophysical Flows $eAutomation and Implementation Using Firedrake /$fby Thomas H. Gibson, Andrew T.T. McRae, Colin J. Cotter, Lawrence Mitchell, David A. Ham 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (126 pages) 225 1 $aSpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,$x2509-7326 311 08$a3-030-23956-X 327 $aPreface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index. 330 $aThis book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation. The so-called ?compatible? finite element methods possess key numerical properties which are crucial for real-world operational weather and climate prediction. The authors summarise the theory and practical implications of these methods for model problems, introducing the reader to the Firedrake package and providing open-source implementations for all the examples covered. Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics. 410 0$aSpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,$x2509-7326 606 $aMathematics 606 $aComputer simulation 606 $aComputer software 606 $aNumerical analysis 606 $aComputer science$xMathematics 606 $aMathematics of Planet Earth$3https://scigraph.springernature.com/ontologies/product-market-codes/M36000 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 606 $aMathematical Software$3https://scigraph.springernature.com/ontologies/product-market-codes/M14042 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 615 0$aMathematics. 615 0$aComputer simulation. 615 0$aComputer software. 615 0$aNumerical analysis. 615 0$aComputer science$xMathematics. 615 14$aMathematics of Planet Earth. 615 24$aSimulation and Modeling. 615 24$aMathematical Software. 615 24$aNumerical Analysis. 615 24$aComputational Science and Engineering. 676 $a550 700 $aGibson$b Thomas H$4aut$4http://id.loc.gov/vocabulary/relators/aut$01061939 702 $aMcRae$b Andrew T.T$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCotter$b Colin J$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMitchell$b Lawrence$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aHam$b David A$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910349322203321 996 $aCompatible Finite Element Methods for Geophysical Flows$92521536 997 $aUNINA