Numerical Methods for Unsteady Compressible Flow Problems

Numerical Methods for Unsteady Compressible Flow Problems provides an overview of the state-of-the-art in the field, focusing on methods for the compressible Navier-Stokes equations. It covers high order methods in space and time, iterative methods, and multigrid and preconditioned Newton-Krylov schemes. It is suitable for graduate-level courses and practitioners in CFD.

Format: Paperback / softback
Length: 234 pages
Publication date: 24 July 2023
Publisher: Taylor & Francis Ltd

Numerical Methods for Unsteady Compressible Flow Problems is a comprehensive guide designed to provide both mathematicians and engineers with a comprehensive understanding of the current state-of-the-art in the field, as well as emerging developments. The book focuses on methods for solving the compressible Navier-Stokes equations, which are capable of capturing phenomena such as shocks, boundary layers, and turbulence. The primary objective of the text is to explain complex concepts to the reader in a clear and concise manner, while offering sufficient detail and references to literature to facilitate the implementation of methods and the application of theoretical concepts.

The book encompasses a wide range of numerical techniques, including high-order methods in space, such as Discontinuous Galerkin methods, and high-order methods in time, particularly implicit ones. A significant portion of the text is dedicated to discussing iterative methods for solving large nonlinear and linear equation systems that arise in various applications, including aerospace, high-speed vehicles, heat transfer, and more. Extensive space is allocated to discussing state-of-the-art multigrid and preconditioned Newton-Krylov schemes, which are widely used in computational fluid dynamics (CFD).

One of the key features of the book is its applications to a diverse range of fields. It provides detailed explanations of numerical methods for solving flow problems in aerospace, where the complexity of the equations and the demands on computational resources are particularly high. The book also discusses the application of numerical methods to high-speed vehicles, where the interactions between the flow and the vehicle's structure are critical for designing efficient and safe vehicles. Additionally, the book covers heat transfer problems, which are important in many industrial applications, such as power generation, chemical processing, and refrigeration.

Another notable feature of the book is its suitability as a textbook for graduate-level courses in CFD. It provides a comprehensive coverage of the theoretical foundations and numerical methods used in CFD, and includes numerous examples and exercises to help students understand and apply the concepts. The book is also valuable as a reference for practitioners in the field, offering a comprehensive overview of the latest developments and techniques in numerical methods for unsteady compressible flow problems.

In conclusion, Numerical Methods for Unsteady Compressible Flow Problems is a comprehensive and authoritative guide to the field of numerical methods for solving unsteady compressible flow problems. It is written with the aim of providing both mathematicians and engineers with a deep understanding of the current state-of-the-art in the field, as well as emerging developments. The book's applications to a diverse range of fields, its suitability as a textbook for graduate-level courses, and its valuable as a reference for practitioners make it an essential resource for anyone interested in computational fluid dynamics.

Weight: 453g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032021836