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  • 1
    Electronic Resource
    Electronic Resource
    A new mechanism of period doubling in free shear flows (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1329-1332 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this Letter numerical evidence for a new period-doubling mechanism in free shear flows is presented. As a case study, the three-dimensional flow in the wake of an infinitely long circular cylinder at Reynolds number 300 is considered. It is shown that the flow in the wake doubles its period of oscillation by alternating between oscillation modes, which are identical in every respect, except from their spanwise structure. There is no merging of vortices, and the flow preserves its basic vortex-street structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858409
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 2337-2354 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Two-dimensional unsteady flows in complex geometries that are characterized by simple (low-dimensional) dynamical behavior are considered. Detailed spectral element simulations are performed, and the proper orthogonal decomposition or POD (also called method of empirical eigenfunctions) is applied to the resulting data for two examples: the flow in a periodically grooved channel and the wake of an isolated circular cylinder. Low-dimensional dynamical models for these systems are obtained using the empirically derived global eigenfunctions in the spectrally discretized Navier–Stokes equations. The short- and long-term accuracy of the models is studied through simulation, continuation, and bifurcation analysis. Their ability to mimic the full simulations for Reynolds numbers (Re) beyond the values used for eigenfunction extraction is evaluated. In the case of the grooved channel, where the primary horizontal wave number of the flow is imposed from the channel periodicity and so remains unchanged with Re, the models extrapolate reasonably well over a range of Re values. In the case of the cylinder wake, however, due to the significant spatial wave number changes of the flow with the Re, the models are only valid in a small neighborhood of the decompositional Reynolds number.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857881
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Efficient removal of boundary-divergence errors in time-splitting methods (1989)
    Springer
    Journal of scientific computing 4 (1989), S. 291-308 
    Details
    ISSN: 1573-7691
    Keywords: Splitting methods ; normal mode analysis ; incompressible flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A normal mode analysis is presented and numerical tests are performed to assess the effectiveness of a new time-splitting algorithm proposed recently in Karniadakiset al. (1990) for solving the incompressible Navier-Stokes equations. This new algorithm employs high-order explicit pressure boundary conditions and mixed explicit/implicit stiffly stable time-integration schemes, which can lead to arbitrarily high-order accuracy in time. In the current article we investigate both the time accuracy of the new scheme as well as the corresponding reduction in boundary-divergence errors for two model flow problems involving solid boundaries. The main finding is that time discretization errors, induced by the nondivergent splitting mode, scale with the order of the accuracy of the integration rule employed if a proper rotational form of the pressure boundary condition is used; otherwise a first-order accuracy in time similar to the classical splitting methods is achieved. In the former case the corresponding errors in divergence can be completely eliminated, while in the latter case they scale asO(vΔt)1/2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01061059
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  • 4
    Electronic Resource
    Electronic Resource
    Letters to the editor (1993)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 17 (1993), S. 1135-1137 
    Details
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650171208
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    Paper (German National Licenses)
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