Numerical Analysis of Compressible Fluid Flows

This book is about the numerical analysis of compressible fluids using a new approach to generalized solutions, with applications to fluid mechanics and related fields. It is aimed at graduate students, researchers, and engineers.

Format: Paperback / softback
Length: 482 pages
Publication date: 19 December 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into the intricate realm of numerical analysis for compressible fluids, drawing inspiration from the renowned Lax equivalence theorem. Its primary audience consists of advanced graduate students in mathematics and fluid dynamics, as well as researchers and practitioners in applied mathematics, numerical analysis, scientific computing, and engineering and physics.

The book offers a fresh perspective on generalized solutions, encompassing dissipative or measure-valued solutions, and employs a weak-strong uniqueness principle to establish the convergence of diverse numerical methods. It addresses the challenging problem of oscillatory solutions through an innovative adaptation of the K-convergence method, resulting in an effective computation of Young measures.

The theoretical foundations are supported by a series of numerical experiments, providing concrete illustrations of the concepts discussed. Furthermore, the applications of these principles extend to other fluid mechanics problems and related fields, offering exciting possibilities for future research and innovation.

By exploring the complex dynamics of compressible fluids through rigorous numerical analysis, this book serves as a valuable resource for scholars and professionals seeking to advance their understanding and contribute to the field.

Weight: 825g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030737900
Edition number: 1st ed. 2021