Direct Numerical Simulation of Incompressible Pipe Flow Using a B-spline Spectral Method PDF Download
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Author: Patrick Loulou
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 196
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Book Description
Author: Patrick Loulou
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 196
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Book Description
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781723032103
Category :
Languages : en
Pages : 168
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Book Description
A numerical method based on b-spline polynomials was developed to study incompressible flows in cylindrical geometries. A b-spline method has the advantages of possessing spectral accuracy and the flexibility of standard finite element methods. Using this method it was possible to ensure regularity of the solution near the origin, i.e. smoothness and boundedness. Because b-splines have compact support, it is also possible to remove b-splines near the center to alleviate the constraint placed on the time step by an overly fine grid. Using the natural periodicity in the azimuthal direction and approximating the streamwise direction as periodic, so-called time evolving flow, greatly reduced the cost and complexity of the computations. A direct numerical simulation of pipe flow was carried out using the method described above at a Reynolds number of 5600 based on diameter and bulk velocity. General knowledge of pipe flow and the availability of experimental measurements make pipe flow the ideal test case with which to validate the numerical method. Results indicated that high flatness levels of the radial component of velocity in the near wall region are physical; regions of high radial velocity were detected and appear to be related to high speed streaks in the boundary layer. Budgets of Reynolds stress transport equations showed close similarity with those of channel flow. However contrary to channel flow, the log layer of pipe flow is not homogeneous for the present Reynolds number. A topological method based on a classification of the invariants of the velocity gradient tensor was used. Plotting iso-surfaces of the discriminant of the invariants proved to be a good method for identifying vortical eddies in the flow field. Loulou, Patrick and Moser, Robert D. and Mansour, Nagi N. and Cantwell, Brian J. Ames Research Center DIGITAL SIMULATION; COMPUTERIZED SIMULATION; COMPUTATIONAL FLUID DYNAMICS; INCOMPRESSIBLE FLOW; PIPE FLOW; FINITE ELEMENT METHOD; TURBULENT FLOW; ...
Author: Stanford University
Publisher:
ISBN:
Category :
Languages : en
Pages : 506
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 712
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Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 896
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 692
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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 338
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Book Description
Author: H. Lomax
Publisher: Springer Science & Business Media
ISBN: 3662046547
Category : Science
Languages : en
Pages : 256
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Book Description
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.
Author: Jiri Blazek
Publisher: Elsevier
ISBN: 0080529674
Category : Science
Languages : en
Pages : 491
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Book Description
Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today's CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.
Author: Titus Petrila
Publisher: Springer Science & Business Media
ISBN: 0387238387
Category : Mathematics
Languages : en
Pages : 513
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Book Description
The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics). Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD. Many theoreticians and experts in the field have expressed their - terest in and need for such an enterprise. This was the motivation for carrying out our study and writing this book. It contains an important systematic collection of numerical working instruments in Fluid Dyn- ics. Our current approach to CFD started ten years ago when the Univ- sity of Paris XI suggested a collaboration in the field of spectral methods for fluid dynamics. Soon after – preeminently studying the numerical approaches to Navier–Stokes nonlinearities – we completed a number of research projects which we presented at the most important inter- tional conferences in the field, to gratifying appreciation. An important qualitative step in our work was provided by the dev- opment of a computational basis and by access to a number of expert softwares. This fact allowed us to generate effective working programs for most of the problems and examples presented in the book, an - pect which was not taken into account in most similar studies that have already appeared all over the world.
