The Role of the Zone of Dependence Concept in Three-dimensional Boundary-layer Calculations PDF Download
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Author: Clarence W. Kitchens (Jr.)
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 48
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Book Description
The subject is studied for the general initial-value problem which arises in several applications; e.g., a spinning body at incidence. An exact solution which simulates the essential features of the boundary layer on such a body is used as a test case. The zone of dependence concept places a restriction on the local mesh aspect ratio that may be used. Results from four finite-difference schemes are compared against the exact solution for various wall speeds and mesh aspect ratios. Error growth occurs when the zone of dependence rule is not satisfied. The sensitivity and manner of error growth for the four schemes are different; two of them are relatively insensitive. From stability analyses it is shown that the concepts of stability and zone of dependence are not the same. Our numerical experiments partly contradict the stability analyses.
Author: Clarence W. Kitchens (Jr.)
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 48
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Book Description
The subject is studied for the general initial-value problem which arises in several applications; e.g., a spinning body at incidence. An exact solution which simulates the essential features of the boundary layer on such a body is used as a test case. The zone of dependence concept places a restriction on the local mesh aspect ratio that may be used. Results from four finite-difference schemes are compared against the exact solution for various wall speeds and mesh aspect ratios. Error growth occurs when the zone of dependence rule is not satisfied. The sensitivity and manner of error growth for the four schemes are different; two of them are relatively insensitive. From stability analyses it is shown that the concepts of stability and zone of dependence are not the same. Our numerical experiments partly contradict the stability analyses.
Author: Clarence W. Kitchens (Jr.)
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 70
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Book Description
The properties of the three-dimensional boundary-layer equations and the influence of these properties on numerical solutions are examined. The three-dimensional boundary-layer equations are parabolic, but they possess a secondary hyperbolic-like, property. This hyperbolic property leads to the zone of dependence concept. It is shown that the zone of dependence concept plays an important role in obtaining accurate numerical solutions for three-dimensional boundary-layer problems; it is especially important for calculating the boundary layer on a spinning body at incidence. A simple flow field which simulates the essential features of this problem and is an exact solution of the three-dimensional boundary-layer equations is constructed.
Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 520
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Book Description
Author: Joseph A. Schetz
Publisher: John Wiley & Sons
ISBN: 9780471348566
Category : Science
Languages : en
Pages : 968
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Book Description
Basic fluid dynamic theory and applications in a single, authoritative reference The growing capabilities of computational fluid dynamics and the development of laser velocimeters and other new instrumentation have made a thorough understanding of classic fluid theory and laws more critical today than ever before. Fundamentals of Fluid Mechanics is a vital repository of essential information on this crucial subject. It brings together the contributions of recognized experts from around the world to cover all of the concepts of classical fluid mechanics-from the basic properties of liquids through thermodynamics, flow theory, and gas dynamics. With answers for the practicing engineer and real-world insights for the student, it includes applications from the mechanical, civil, aerospace, chemical, and other fields. Whether used as a refresher or for first-time learning, Fundamentals of Fluid Mechanics is an important new asset for engineers and students in many different disciplines.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 488
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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: Dale Anderson
Publisher: Taylor & Francis
ISBN: 1466578300
Category : Science
Languages : en
Pages : 763
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Book Description
Thoroughly updated to include the latest developments in the field, this classic text on finite-difference and finite-volume computational methods maintains the fundamental concepts covered in the first edition. As an introductory text for advanced undergraduates and first-year graduate students, Computational Fluid Mechanics and Heat Transfer, Thi
Author: Pauline H. Gurewitz
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 364
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Book Description
Author: Richard H. Pletcher
Publisher: CRC Press
ISBN: 9781560320463
Category : Science
Languages : en
Pages : 828
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Book Description
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.
Author: Pauline H. Gurewitz
Publisher:
ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 384
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Book Description
Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 384
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Book Description
