Polyhedral Methods in Geosciences

The last few years have seen a surge in the development and usage of discretization methods supporting general meshes in geoscience applications. This book aims to establish a state-of-the-art reference on polyhedral methods for geoscience applications by gathering contributions from top-level research groups. It is addressed to graduate students and researchers wishing to deepen their knowledge of advanced numerical methods with a focus on geoscience applications, as well as practitioners of the field.

Format: Hardback
Length: 332 pages
Publication date: 15 June 2021
Publisher: Springer Nature Switzerland AG

The last few years have seen a remarkable surge in the development and widespread application of discretization methods tailored to handle general meshes in geoscience applications. The demand for general polyhedral meshes in this realm arises in various contexts, such as modeling petroleum reservoirs and basins, carbon dioxide (CO2) and nuclear storage sites, and more. In such situations, classical discretization techniques often become inadequate or require cumbersome ad hoc modifications, further complicating the implementation process. However, the emergence of discretization methods capable of operating on polyhedral meshes and potentially delivering arbitrary-order approximations represents a significant technological breakthrough.

The primary objective of this monograph is to establish a comprehensive and up-to-date reference on polyhedral methods for geoscience applications. By compiling contributions from leading research groups actively engaged in this field, this book aims to provide a valuable resource for graduate students and researchers seeking to expand their expertise in advanced numerical methods, particularly with a focus on geoscience applications. Additionally, it serves as a valuable guide for practitioners in the field who wish to enhance their understanding of cutting-edge techniques and their practical applications.

In the chapters that follow, we will delve into the theoretical foundations, algorithms, and applications of polyhedral methods in geoscience. We will explore the advantages and limitations of these methods, as well as their potential for improving the accuracy and efficiency of numerical simulations in various geological settings. We will also discuss the challenges and opportunities associated with the implementation of polyhedral methods, including the development of efficient algorithms, the optimization of computational resources, and the integration with other numerical techniques.

By presenting a comprehensive overview of polyhedral methods in geoscience, this monograph aims to foster a deeper understanding of these techniques and their potential to revolutionize the field. It serves as a valuable resource for researchers, students, and practitioners alike, providing them with the knowledge and tools necessary to advance their research and contribute to the development of innovative solutions in geoscience.

Weight: 688g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030693626
Edition number: 1st ed. 2021