Compatible Finite Element Methods for Geophysical Flows
Automation and Implementation Using Firedrake
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Beschreibung
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 providedwith an overview of geophysical fluid dynamics.
Documents the?science behind geophysical fluid dynamics, particularly for atmospheric flows Introduces the Firedrake finite element package, a free and open-source tool for scientific computing Showcases the development and analysis of compatible finite element techniques Contains detailed examples and tutorials for various applications
Autor*in
Thomas H. Gibson
Themen in »Compatible Finite Element Methods for Geophysical Flows«
computational science finite element method geophysical fluid dynamics composable solvers numerical analysis weather prediction atmospheric science Firedrake atmosphere and ocean flows mathematical software automated code generation composable software abstractions 97N80, 74S05, 58D30