Energy Spectra of Interacting Quantized Vortex Configurations (Springer Theses) - Hardcover

Parrado Almoguera, Adrián M.

Hardcover

ISBN 10: 3032167701 ISBN 13: 9783032167705

Publisher: Springer, 2026

Synopsis

This book is a significant advance towards a general theory of turbulence. It can help to describe and control the turbulent flows that make a vital contribution to the transport of chemical species and heat that is itself a key concept of chemical engineering.

Energy Spectra of Interacting Quantized Vortex Configurations helps both scientists and engineers studying turbulent flows to gain a physical understanding of their key features using the motion and interactions of vortices. The author shows how superfluid turbulence research can be imported into numerical calculations of Navier–Stokes turbulence to generate results of interest to readers with both classical and quantum-theoretic backgrounds.

By using Lagrangian vortex dynamics, the book shows directly that vortex stretching in Navier–Stokes fluids induces both energy transfer to smaller scales and the Kolmogorov scaling. The approach is also applied to vortices in the linear Schrödinger equation, showing that even without vortex stretching, the Kolmogorov scaling appears as a consequence of Kolmogorov dimensional arguments. The algorithms and information flowcharts used to develop the research presented are explained.

About this title

About the Author

Dr. Adrian M. Parrado Almoguera has an MEng Aeronautical Engineering degree in addition to a PhD in the Department of Chemical and Process Engineering from the University of Strathclyde. He published a peer-reviewed paper in Physics of Fluids "Vortex Dynamics of Turbulent Energy Cascades" which was chosen as the Editor's pick as well as being selected for the AIP Publishing Showcase. He also presented, both in person and online, at the British Applied Mathematics Colloquium conference in 2022 and 2023.

From the Back Cover

This book is a significant advance towards a general theory of turbulence. It can help to describe and control the turbulent flows that make a vital contribution to the transport of chemical species and heat that is itself a key concept of chemical engineering.

Energy Spectra of Interacting Quantized Vortex Configurations helps both scientists and engineers studying turbulent flows to gain a physical understanding of their key features using the motion and interactions of vortices. The author shows how superfluid turbulence research can be imported into numerical calculations of Navier–Stokes turbulence to generate results of interest to readers with both classical and quantum-theoretic backgrounds.

By using Lagrangian vortex dynamics, the book shows directly that vortex stretching in Navier–Stokes fluids induces both energy transfer to smaller scales and the Kolmogorov scaling. The approach is also applied to vortices in the linear Schrödinger equation, showing that even without vortex stretching, the Kolmogorov scaling appears as a consequence of Kolmogorov dimensional arguments. The algorithms and information flowcharts used to develop the research presented are explained.

Edition details

• Publisher: Springer
• Publication date: 2026
• Language: English
• ISBN 10: 3032167701
• ISBN 13: 9783032167705
• Binding: Hardcover
• Number of pages: 128