Solution Of The Three Dimensional Navier Stokes Equations For A Turbulent Horseshoe Vortex Flow
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Solution Of The Three Dimensional Navier Stokes Equations For A Turbulent Horseshoe Vortex Flow
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Author : R. C. Buggelin
language : en
Publisher:
Release Date : 1987
Solution Of The Three Dimensional Navier Stokes Equations For A Turbulent Horseshoe Vortex Flow written by R. C. Buggelin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
The problem of three dimensional turbulent horseshoe vortex/corner flow is investigated numerically. Solutions of the compressible Reynolds averaged Navier Stokes equations are computed using a linearized block implicit scheme with Douglas Gunn splitting. Solutions are computed using both two equation (k-epsilon) and algebraic mixing length turbulence models, with grid distributions which provide resolution of the viscous sublayer regions. These computed results are displayed graphically and compared with recent experimental measurements. There is good qualitative agreement between computed and measured mean flow velocities, especially near the saddle point separation line. The computed corner flow has a multiple vortex structure. There are quantitative differences in details of the weak corner flows downstream of the leading edge, which may be attributable to the turbulence model used and/or numerical error. Convergence required approximately 150 iterations using a 60x50x40 grid (120,000 points) and required about 2.5 hours of CRAY-XMP run time. Keywords: Three Dimensional Flow; Navier Stokes Equations; Turbulent Flow; Horseshoe Vortex Flow; Implicit Algorithm.
Solution Of The Three Dimensional Navier Stokes Equations For A Steady Laminar Horseshoe Vortex Flow
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Author : W. R. Briley
language : en
Publisher:
Release Date : 1984
Solution Of The Three Dimensional Navier Stokes Equations For A Steady Laminar Horseshoe Vortex Flow written by W. R. Briley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
A low Mach number formulation of the three-dimensional Navier-Stokes equations is solved for a steady laminar horseshoe vortex flow, using a time-iterative approach. A split linearized block implicit algorithm is used, with central spatial differences in a transformed coordinate system. The stability of this algorithm in three dimensions is examined for a scalar convection model problem, and results are obtained which suggest that the algorithm is both conditionally stable and rapidly convergent when nonperiodic inflow/outflow boundary conditions are used. A new form of artificial dissipation which acts along physical streamlines instead of coordinate grid lines is also tested and found to introduce less error when the local flow direction is not aligned with the computational grid. An accurate solution for a laminar horseshoe vortex flow is computed using an improved solution algorithm with small artificial dissipation. This solution does not change significantly when the mesh spacing is halved using (15 x 15 x 15) and (29 x 29 x 29) grids. Very good convergence rates were obtained, such that residuals were reduced by a factor of 1/100 in 30 and 60 iterations respectively, for 3,375 and 24,389 grid points. (Author).
Computation Of Three Dimensional Horseshoe Vortex Flow Using The Navier Stokes Equations
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Author : W. Roger Briley
language : en
Publisher:
Release Date : 1980
Computation Of Three Dimensional Horseshoe Vortex Flow Using The Navier Stokes Equations written by W. Roger Briley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Numerical solutions of the compressible Navier-Stokes equations are presented for a laminar horseshoe vortex flow created by the interaction of a boundary layer on a flat surface and an elliptical strut leading edge mounted normal to the flat surface. The computational approach utilizes zone embedding, surface-oriented elliptic-cylindrical coordinates, interactive boundary conditions, and a consistently-split linearized block implicit (LBI) scheme developed by the authors. Mesh resolution tests are performed, and the horseshoe vortex flow is discussed. (Author).
Computation Of Turbulent Horseshoe Vortex Flow Past Swept And Unswept Leading Edges
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Author : W. R. Briley
language : en
Publisher:
Release Date : 1982
Computation Of Turbulent Horseshoe Vortex Flow Past Swept And Unswept Leading Edges written by W. R. Briley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Three-dimensional turbulent horseshoe vortex flow past strut/endwall configurations having both unswept and 45-degree swept leading edges is studied by numerical solution of the compressible Reynolds-averaged Navier-Stokes equations. The Cartesian form of the equations is transformed to a general nonorthogonal coordinate system which is fitted to the geometry of interest and then solved using a consistently-split linearized block implicit (LBI) algorithm. The turbulence model and computational mesh provides for resolution of the viscous sublayer and employs an isotropic eddy viscosity based on solution of the turbulence kinetic energy equation and a specified length scale. Although no flow measurements are available for the region near the leading edge, predictions of the horseshoe vortex formation near the leading edge are in qualitative agreement with flow visualization studies of similar flows. Predictions of the relatively weak secondary flow in the corner region well downstream of the unswept leading edge do not agree with available measurements, and this is believed to be the result of numerical truncation error and/or inadequacy of the turbulence model. (Author).
Behavior Of Solutions Of The Navier Stokes Equations For A Complete Class Of Three Dimensional Viscous Vortices
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Author : Coleman duP. Donaldson
language : en
Publisher:
Release Date : 1960
Behavior Of Solutions Of The Navier Stokes Equations For A Complete Class Of Three Dimensional Viscous Vortices written by Coleman duP. Donaldson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Navier-Stokes equations categories.
Examination Of The Solutions Of The Navier Stokes Equations For A Class Of Three Dimensional Vortices
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Author : Coleman duP. Donaldson
language : en
Publisher:
Release Date : 1960
Examination Of The Solutions Of The Navier Stokes Equations For A Class Of Three Dimensional Vortices written by Coleman duP. Donaldson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Navier-Stokes equations categories.
Examination Of The Solutions Of The Navier Stokes Equations For A Class Of Three Dimensional Vortices
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Author : Coleman duP. Donaldson
language : en
Publisher:
Release Date : 1960
Examination Of The Solutions Of The Navier Stokes Equations For A Class Of Three Dimensional Vortices written by Coleman duP. Donaldson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Eddies categories.
A Standard Test Case For A Low Speed Turbulent Junction Vortex Flow
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Author : Felix J. Pierce
language : en
Publisher:
Release Date : 1988
A Standard Test Case For A Low Speed Turbulent Junction Vortex Flow written by Felix J. Pierce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Aerodynamics categories.
The main flow structure upstream, around, and within a turbulent junction or horseshoe vortex and extending into the wake is reported for an incompressible, subsonic flow. The flow is generated by placing a streamlined (teardrop shaped) cylinder normal to a flat surface in a relatively thick boundary layer. The flow is a particular case in the broad class of complex, separated, three-dimensional turbulent flows. The total flow field, including the flow through separation and the vortex, and extending into the near wake, has been documented with mean velocity, static pressure, and total pressure measurements using a very carefully calibrated Prandtl-type, biconic five-hole probe. Extensive floor static pressure measurements, emphasizing the region of the vortex system, and static pressure measurements on the cylinder surface are also reported. Flow visualizations for the floor flow and the body surface are reported. Measurements of the primitive variables of velocity and pressure are reported on all surfaces bounding the region of the vortex flow. This is consistent with providing boundary conditions on all surfaces surrounding the solution domain for the implementation of a numerical solver for the elliptic, turbulent, three-dimensional Navier-Stokes equations. Measurements of these same variables are provided on one transverse plane and one streamwise plane within the flow field itself to allow for comparisons between the measured and calculated flow variables. (edc).
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1993
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Aeronautics categories.
Solutions Of The Navier Stokes Equations For Two And Three Dimensional Vortices
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Author : Coleman DuPont Donaldson
language : en
Publisher:
Release Date : 1957
Solutions Of The Navier Stokes Equations For Two And Three Dimensional Vortices written by Coleman DuPont Donaldson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Aerodynamics categories.