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Reading list
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Finite Volume Method.
Is widely regarded as an excellent starting point for understanding the Finite Volume Method. It provides a clear and user-friendly introduction to the fundamental concepts, governing equations, and the application of FVM to fluid flow problems. It is commonly used as a textbook for introductory CFD courses and is valuable for gaining a broad understanding.
Offers a comprehensive and advanced treatment of the Finite Volume Method. It delves into the theoretical foundations and practical applications, including implementations using OpenFOAM and Matlab. It's suitable for those looking to deepen their understanding and explore contemporary topics and software relevant to FVM.
Focuses specifically on FVM for hyperbolic conservation laws, which are fundamental to many fluid dynamics problems involving waves and shocks. It provides a rigorous mathematical treatment and is essential for those deepening their understanding of FVM's application in this specific area.
Provides a rigorous and in-depth treatment of the mathematical and algorithmic foundations of CFD, with a strong emphasis on the Finite Volume Method. It is suitable for graduate students and researchers seeking a deep theoretical understanding.
A comprehensive text covering various computational methods for fluid dynamics, with a significant portion dedicated to the Finite Volume Method. It provides a solid theoretical basis and discusses practical aspects of implementing numerical schemes. valuable reference for both students and professionals.
Key reference for understanding Riemann solvers, which are crucial components of many finite volume methods for compressible flows and hyperbolic systems. It offers a practical introduction and is highly relevant for those focusing on high-resolution FVM schemes.
Offers a detailed overview of CFD principles and applications, including a strong treatment of the Finite Volume Method, particularly for compressible flows and unstructured grids. It valuable reference for those seeking a deeper understanding of practical CFD solver development.
Provides a strong theoretical foundation in numerical methods for conservation laws, which underpins the Finite Volume Method for hyperbolic problems. It's a valuable resource for graduate students and researchers needing a deeper mathematical understanding.
This classic book that introduces fundamental numerical methods, including the control volume approach which is closely related to FVM, for solving heat transfer and fluid flow problems. While older, its clear explanation of basic principles makes it a valuable resource for gaining foundational knowledge.
The second volume delves into more advanced methods and applications of CFD, building upon the fundamentals from Volume 1. It includes further discussion and application of finite volume techniques to various flow regimes and problems.
Provides an introduction to CFD with a focus on the finite volume method. It covers fundamental concepts and their application to various fluid flow and heat transfer problems. It is suitable for students beginning their study of CFD and FVM.
A widely recognized textbook covering various numerical methods for fluid dynamics problems. It includes detailed explanations of finite difference and finite volume methods, offering a broad perspective on numerical techniques used in CFD.
This text provides a concise introduction to the essential concepts and techniques of CFD, including the Finite Volume Method. It good resource for students and professionals who need to quickly grasp the core ideas and practical implementation aspects.
Covers fundamental concepts and algorithms in CFD, with a focus on the mathematical aspects and numerical stability. It provides a solid theoretical basis that is relevant to the understanding and development of finite volume methods.
While covering various CFD techniques, this book includes significant content on unstructured grid methods, which are often used with the Finite Volume Method for complex geometries. It's a good resource for understanding the practical application of FVM in real-world scenarios.
Provides an introduction to both the Finite Element and Finite Volume Methods and their application to heat transfer and fluid dynamics. It can be useful for understanding the relationship and differences between these two common numerical approaches.
Key resource for understanding turbulence modeling, which is often coupled with the Finite Volume Method for simulating turbulent flows. It's essential for those applying FVM to real-world engineering problems involving turbulence.
This highly theoretical book focusing on the mathematical analysis of the Navier-Stokes equations, the governing equations of fluid dynamics. While not directly about FVM, a strong understanding of these equations is foundational for advanced FVM development and analysis.
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