Compatible Finite Element Methods for Geophysical Flows - Automation and Implementation Using Firedrake
Compatible Finite Element Methods for Geophysical Flows - Automation and Implementation Using Firedrake
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地球物理流的兼容有限元方法 - 使用 Firedrake 进行自动化和实现
DOI：
10.1007/978-3-030-23957-2
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Gibson T
中科院分区：
文献类型：
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作者：
Gibson T
本书介绍了最近开发的混合有限元方法，用于大规模地球物理流动，保留了精确模拟的基本数值特性。这些方法采用大气流动的标准模型，并使用Firedrake有限元库实现。示例引导读者通过问题制定，离散化和自动化实现。所谓的“兼容”有限元方法具有关键的数值特性，这对于实际操作天气和气候预测至关重要。作者总结了这些模型问题方法的理论和实际含义，向读者介绍了Firedrake包，并为所涵盖的所有示例提供了开源实现。具有工程、物理、数学或计算机科学背景的学生和研究人员将受益于本书。那些不太熟悉这个主题的读者提供了地球物理流体动力学的概述。
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.