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Compatible finite element methods fo...

Gibson, Thomas H.

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Compatible finite element methods for geophysical flows = automation and implementation using Firedrake /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Compatible finite element methods for geophysical flows/ by Thomas H. Gibson ... [et al.].
Reminder of title:	automation and implementation using Firedrake /
Author:	Gibson, Thomas H.
other author:	McRae, Andrew T. T.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 118 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Preface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index.
Contained By:	Springer Nature eBook
Subject:	Geophysical prediction - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-23957-2
ISBN:	9783030239572

Compatible finite element methods for geophysical flows = automation and implementation using Firedrake /
Gibson, Thomas H.

Compatible finite element methods for geophysical flowsautomation and implementation using Firedrake /[electronic resource] :by Thomas H. Gibson ... [et al.]. - Cham :Springer International Publishing :2019. - viii, 118 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics of planet earth, weather, climate, oceans,2509-7326. - SpringerBriefs in mathematics of planet earth, weather, climate, oceans..

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.

ISBN: 9783030239572

Standard No.: 10.1007/978-3-030-23957-2doiSubjects--Topical Terms:

3503097
Geophysical prediction
--Mathematics.

LC Class. No.: QC809.M37 / G53 2019

Dewey Class. No.: 550.151

Compatible finite element methods for geophysical flows = automation and implementation using Firedrake /
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300 $a viii, 118 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics of planet earth, weather, climate, oceans, $x 2509-7326
505 0 $a Preface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index.
520 $a 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.
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