04142nam 22006735 450 991034932220332120200703133903.03-030-23957-810.1007/978-3-030-23957-2(CKB)4100000009076184(MiAaPQ)EBC5887770(DE-He213)978-3-030-23957-2(PPN)258870141(EXLCZ)99410000000907618420190826d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCompatible Finite Element Methods for Geophysical Flows Automation and Implementation Using Firedrake /by Thomas H. Gibson, Andrew T.T. McRae, Colin J. Cotter, Lawrence Mitchell, David A. Ham1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (126 pages)SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,2509-73263-030-23956-X Preface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index.This 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.SpringerBriefs in Mathematics of Planet Earth, Weather, Climate, Oceans,2509-7326MathematicsComputer simulationComputer softwareNumerical analysisComputer mathematicsMathematics of Planet Earthhttps://scigraph.springernature.com/ontologies/product-market-codes/M36000Simulation and Modelinghttps://scigraph.springernature.com/ontologies/product-market-codes/I19000Mathematical Softwarehttps://scigraph.springernature.com/ontologies/product-market-codes/M14042Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Mathematics.Computer simulation.Computer software.Numerical analysis.Computer mathematics.Mathematics of Planet Earth.Simulation and Modeling.Mathematical Software.Numerical Analysis.Computational Science and Engineering.550Gibson Thomas Hauthttp://id.loc.gov/vocabulary/relators/aut1061939McRae Andrew T.Tauthttp://id.loc.gov/vocabulary/relators/autCotter Colin Jauthttp://id.loc.gov/vocabulary/relators/autMitchell Lawrenceauthttp://id.loc.gov/vocabulary/relators/autHam David Aauthttp://id.loc.gov/vocabulary/relators/autBOOK9910349322203321Compatible Finite Element Methods for Geophysical Flows2521536UNINA