A Numerical Study of the 2- And 3-Dimensional Unsteady Navier-Stokes Equations in Velocity-Vorticity Variables Using Compact Difference Schemes

A Numerical Study of the 2- And 3-Dimensional Unsteady Navier-Stokes Equations in Velocity-Vorticity Variables Using Compact Difference Schemes

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-07-25

Total Pages: 28

ISBN-13: 9781724216175

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A compact finite-difference approximation to the unsteady Navier-Stokes equations in velocity-vorticity variables is used to numerically simulate a number of flows. These include two-dimensional laminar flow of a vortex evolving over a flat plate with an embedded cavity, the unsteady flow over an elliptic cylinder, and aspects of the transient dynamics of the flow over a rearward facing step. The methodology required to extend the two-dimensional formulation to three-dimensions is presented. Gatski, T. B. and Grosch, C. E. Langley Research Center NASA-CR-172353, ICASE-84-15, NAS 1.26:172353 NAS1-17070


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports

Author:

Publisher:

Published: 1995

Total Pages: 602

ISBN-13:

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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.


Numerical Simulation in Fluid Dynamics

Numerical Simulation in Fluid Dynamics

Author: Michael Griebel

Publisher: SIAM

Published: 1998-01-01

Total Pages: 222

ISBN-13: 0898713986

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In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.


Monthly Catalog of United States Government Publications

Monthly Catalog of United States Government Publications

Author: United States. Superintendent of Documents

Publisher:

Published: 1985

Total Pages:

ISBN-13:

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February issue includes Appendix entitled Directory of United States Government periodicals and subscription publications; September issue includes List of depository libraries; June and December issues include semiannual index


DNS of Wall-Bounded Turbulent Flows

DNS of Wall-Bounded Turbulent Flows

Author: Tapan K. Sengupta

Publisher: Springer

Published: 2018-06-07

Total Pages: 393

ISBN-13: 9811300380

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This book highlights by careful documentation of developments what led to tracking the growth of deterministic disturbances inside the shear layer from receptivity to fully developed turbulent flow stages. Associated theoretical and numerical developments are addressed from basic level so that an uninitiated reader can also follow the materials which lead to the solution of a long-standing problem. Solving Navier-Stokes equation by direct numerical simulation (DNS) from the first principle has been considered as one of the most challenging problems of understanding what causes transition to turbulence. Therefore, this book is a very useful addition to advanced CFD and advanced fluid mechanics courses.