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  • 1990-1994  (7)
  • 1
    Electronic Resource
    Electronic Resource
    Is the steady viscous incompressible two-dimensional flow over a backward-facing step at Re = 800 stable? (1993)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 17 (1993), S. 501-541 
    Details
    ISSN: 0271-2091
    Keywords: Backward-facing step ; Flow stability ; Incompressible flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A detailed case study is made of one particular solution of the 2D incompressible Navier-Stokes equations. Careful mesh refinement studies were made using four different methods (and computer codes): (1) a high-order finite-element method solving the unsteady equations by time-marching; (2) a high-order finite-element method solving both the steady equations and the associated linear-stability problem; (3) a second-order finite difference method solving the unsteady equations in streamfunction form by time-marching; and (4) a spectral-element method solving the unsteady equations by time-marching. The unanimous conclusion is that the correct solution for flow over the backward-facing step at Re = 800 is steady - and it is stable, to both small and large perturbations.
    Additional Material: 21 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650170605
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    Paper (German National Licenses)
    Fulltext
  • 2
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    Hopf bifurcation in the driven cavity (1990)
    Elsevier
    Details
    Publication Date: 1990-09-01
    Print ISSN: 0021-9991
    Electronic ISSN: 1090-2716
    Topics: Computer Science , Physics
    Published by Elsevier
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    PAPER CURRENT
  • 3
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    An efficient and robust algorithm for two dimensional time dependent incompressible Navier-Stokes equations - High Reynolds number flows (1991)
    In:  Other Sources
    Details
    Publication Date: 2011-08-24
    Description: An algorithm is presented for unsteady two-dimensional incompressible Navier-Stokes calculations. This algorithm is based on the fourth order partial differential equation for incompressible fluid flow which uses the streamfunction as the only dependent variable. The algorithm is second order accurate in both time and space. It uses a multigrid solver at each time step. It is extremely efficient with respect to the use of both CPU time and physical memory. It is extremely robust with respect to Reynolds number.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: In: Numerical methods in laminar and turbulent flow; Proceedings of the 7th International Conference, Stanford Univ., CA, July 15-19, 1991. Vol. 7, pt. 2 (A93-34301 13-34); p. 1612-1622.
    Format: text
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    NASA TECHNICAL REPORTS
  • 4
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    Hopf bifurcation in the driven cavity (1990)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: The algorithm employed in the present incompressible two-dimensional calculations of an impulsively-started lid-driven cavity has its basis in the time-dependent stream-function equation. While a Crank-Nicholson differencing scheme is used for the diffusion terms, the Adams-Bashforth scheme is used for the convection terms. The periodic asymptotic solutions obtained for Reynolds numbers of 5000 and 10,000 are found to be precisely periodic; it is demonstrated that they have reached asymptotic states. The indicators of that achievement are discussed.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Journal of Computational Physics (ISSN 0021-9991); 90; 219-261
    Format: text
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    NASA TECHNICAL REPORTS
  • 5
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    An efficient and robust algorithm for time dependent viscous incompressible Navier-Stokes equations (1992)
    In:  CASI
    Details
    Publication Date: 2013-08-29
    Description: A recently developed finite difference algorithm is presented for steady incompressible Navier-Stokes calculations. The algorithm is extremely robust with respect to Reynolds number, and has been used to directly compute incompressible flows with smoothly resolved streamfunction, kinetic energy and vorticity contours for Reynolds numbers as high as Re = 100,000 without requiring any subscale modelling. The algorithm is second order accurate in both time and space, with Crank-Nicolson differencing for the diffusion terms, with a lagged second order Adams-Basforth differencing for the convection terms, and with central differencing for all space derivatives. The algorithm is extremely efficient with respect to both computing time and physical memory. Solutions are shown for cavity and channel flows at various Reynolds numbers.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Computational Fluid Dynamics; p 133-141
    Format: text
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    NASA TECHNICAL REPORTS
  • 6
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    An efficient and robust algorithm for two dimensional time dependent incompressible Navier-Stokes equations: High Reynolds number flows (1991)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: An algorithm is presented for unsteady two-dimensional incompressible Navier-Stokes calculations. This algorithm is based on the fourth order partial differential equation for incompressible fluid flow which uses the streamfunction as the only dependent variable. The algorithm is second order accurate in both time and space. It uses a multigrid solver at each time step. It is extremely efficient with respect to the use of both CPU time and physical memory. It is extremely robust with respect to Reynolds number.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-TM-104424 , E-6257 , NAS 1.15:104424 , International Conference on Numerical Methods in Laminar and Turbulent Flow; Jul 15, 1991 - Jul 19, 1991; Stanford, CA; United States
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 7
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    An unsteady time asymptotic flow in the square driven cavity (1990)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: Summary details of an aperiodic time asymptotic numerical solution for the square drive cavity at Re = 10000 are presented. The data presented is for 6100 less than t less than or equal to 7100, and is representative of the data that characterizes the aperiodic asymptotic state.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-TM-103141 , E-5493 , NAS 1.15:103141 , IMACS 1st International Conference on Computational Physics; Jun 11, 1990 - Jun 15, 1990; Boulder, CO; United States
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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