Compatible finite element methods for geophysical flows
Other Title Information
automation and implementation using Firedrake
First Statement of Responsibility
Thomas H. Gibson...[et al.]
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
2019
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
viii. 118 p.
Other Physical Details
illustrations (some color)
SERIES
Series Title
(SpringerBriefs in mathematics of planet Earth, weather, climate, oceans)
GENERAL NOTES
Text of Note
Preface -- Geophysical Fluid Dynamics and Simulation -- Finite Element Methods for Geophysical Flows -- Firedrake -- Models in Two-Dimensions -- Models in Three-Dimensions -- References -- Index
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
SUMMARY OR ABSTRACT
Text of Note
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
TOPICAL NAME USED AS SUBJECT
Geophysical prediction -- Mathematics
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC809
Book number
.
M37
G53
2019
PERSONAL NAME - SECONDARY RESPONSIBILITY
Gibson, Thomas H.
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science