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This comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter.
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
An introduction to CFD fundamentals and using commercial CFD software to solve engineering problems, designed for the wide variety of engineering students new to CFD, and for practicing engineers learning CFD for the first time. Combining an appropriate level of mathematical background, worked examples, computer screen shots, and step by step processes, this book walks the reader through modeling and computing, as well as interpreting CFD results. The first book in the field aimed at CFD users rather than developers. New to this edition: A more comprehensive coverage of CFD techniques including discretisation via finite element and spectral element as well as finite difference and finite volume methods and multigrid method. Coverage of different approaches to CFD grid generation in order to closely match how CFD meshing is being used in industry. Additional coverage of high-pressure fluid dynamics and meshless approach to provide a broader overview of the application areas where CFD can be used. 20% new content .
The most teachable book on incompressible flow— now fully revised, updated, and expanded Incompressible Flow, Fourth Edition is the updated and revised edition of Ronald Panton's classic text. It continues a respected tradition of providing the most comprehensive coverage of the subject in an exceptionally clear, unified, and carefully paced introduction to advanced concepts in fluid mechanics. Beginning with basic principles, this Fourth Edition patiently develops the math and physics leading to major theories. Throughout, the book provides a unified presentation of physics, mathematics, and engineering applications, liberally supplemented with helpful exercises and example problems. Revi...
In this work, Parviz Moin introduces numerical methods and shows how to develop, analyse, and use them. A thorough and practical text, it is intended as a first course in numerical analysis.
In the second edition of this well known Textbook, a full chapter on the finite volume method has been added a technique that combines the benefits of finite differences and finite elements. Specifically, it is applicable to three dimensional unsteady flows in complex geometrie. It uses structured collocated grids, the grids themselves can be orthogonal or non-orthogonal. Extension of the finite volume technique to compressible fluids as well as turbulent flows is possible.
This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.
The Abingdon New Testament Commentaries series offers compact, critical commentaries on the writings of the New Testament. These commentaries are written with special attention to the needs and interests of theology students, but they will also be useful for students in upper-level college or university settings, as well as for pastors and other church leaders. In addition to providing basic information about the New Testament texts and insights into their meanings, these commentaries exemplify the tasks and procedures of careful, critical exegesis. In this volume, Robert C. Tannehill focuses on the significance of the Gospel of Luke in its final form for its original audience. Drawing on hi...
The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.
In this groundbreaking study, John Kloppenborg traces the literary evolution of Q as a document of primitive Christianity by considering it within the context of ancient literary genres. He argues that Q is composed of three compositional layers, or strata, each of which reflects certain stages of development in the Q community. The earliest formative layer reflects the influence of ancient sapiential sayings: the second layer suggests the influence of the prophetic literature of judgment and contains prophetic oracles and many Son-of-Man sayings. The third layer contains a temptation story, moving the document from a chriae collection in the direction of a biography.