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.
Preface.- Geophysical Fluid Dynamics and Simulation.- Finite Element Methods for Geophysical Flows.- Firedrake.- Models in Two-Dimensions.- Models in Three-Dimensions.- References.- Index.
Thomas Gibson/is a PhD student in the Department of Mathematics at Imperial College London. He is supported and funded by the EPSRC Centre for Doctoral Training in The Mathematics of Planet Earth. His current interests are in the development of scalable numerical algorithms for simulating climate, weather, and ocean dynamics. He is an active developer of the Firedrake project.
Andrew McRae/is a Research Associate working on reduced-precision weather forecasting in the Department of Physics at Oxford University. He received his PhD fromlƒ³
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