The Mathematics of Marine Modelling: Water, Solute and Particle Dynamics in Estuaries and Shallow Seas

Numerical simulation has become essential for understanding the dynamics of seas, coastal regions, and estuaries, but there is a gap between model users and applied mathematicians. This book aims to bridge that gap by addressing various issues where mathematics plays a crucial role.

Format: Hardback
Length: 318 pages
Publication date: 02 December 2022
Publisher: Springer International Publishing AG

Numerical simulation has emerged as a vital tool for comprehending the intricate dynamics of seas, coastal regions, and estuaries over the past few decades. As decision-makers increasingly rely on model results to manage these critical areas, it is crucial that modellers possess a solid understanding of the theoretical foundations underlying the simulation tools they employ. However, there exists a notable disconnect between some modellers and applied mathematicians, with the former often lacking awareness of the theoretical underpinnings of the simulation techniques they utilize.

Conversely, a significant number of applied mathematicians view marine sciences as an opportunity to apply their expertise in fields where they have developed a strong command of mathematical tools. Closing this gap between model users and applied mathematicians is the primary focus of the present book. Within its pages, a wide range of issues will be explored, highlighting the critical role of mathematics in advancing our understanding of marine systems.

The importance of numerical simulation in understanding marine systems cannot be overstated. By leveraging advanced computational techniques, researchers can simulate the complex interactions between various physical processes, such as ocean currents, waves, and tides, and their impact on marine ecosystems. This simulation-based approach allows for the prediction of future trends, the evaluation of policy options, and the development of sustainable management strategies for coastal regions and estuaries.

One of the key challenges facing numerical simulation in marine sciences is the need for accurate and reliable models. Developing accurate models requires a deep understanding of the underlying physical processes and the ability to incorporate complex mathematical equations and algorithms. However, the complexity of marine systems can make it challenging to capture all the relevant factors and variables in a model, leading to errors and uncertainties in the results.

To address this challenge, researchers have developed a range of advanced simulation techniques, including finite element methods, mesh refinement techniques, and machine learning algorithms. These techniques allow for the modeling of complex physical processes with greater precision and accuracy, enabling researchers to obtain more reliable and meaningful results.

Another area of importance in numerical simulation in marine sciences is the development of user-friendly interfaces and visualization tools. These tools allow non-technical users, such as decision-makers and policymakers, to access and interpret the results of simulation studies easily. By providing intuitive and visually appealing representations of the data, researchers can facilitate better communication and collaboration between different stakeholders, leading to more informed decision-making processes.

In addition to its applications in understanding marine systems, numerical simulation has also found use in a wide range of other fields, such as climate modeling, hydrology, and oceanography. By leveraging the expertise and tools developed in these fields, researchers can extend the applications of numerical simulation in marine sciences and contribute to a broader understanding of complex natural systems.

In conclusion, numerical simulation has become an indispensable tool for understanding the dynamics of seas, coastal regions, and estuaries. As decision-makers increasingly rely on model results to manage these critical areas, it is essential that modellers possess a solid understanding of the theoretical foundations underlying the simulation tools they employ. By bridging the gap between model users and applied mathematicians, the present book aims to advance our understanding of marine systems and promote the development of sustainable management strategies. Through the exploration of a wide range of issues and the application of advanced simulation techniques, this book will play a vital role in shaping the future of marine sciences.

Weight: 658g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031095580
Edition number: 1st ed. 2022