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  • 1
    Electronic Resource
    Electronic Resource
    Secondary bifurcations in plane Poiseuille flow with three interacting modes
    Amsterdam : Elsevier
    Physics Letters A 186 (1994), S. 403-409 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(94)90702-1
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Equilibria of corotating nonuniform vortices (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 3416-3425 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Inviscid equilibria for a pair of two-dimensional vortices of different size and circulation are numerically computed. Previous analyses studied the case of vorticity patches. In the present investigation, we introduce vortex profiles ranging from patches to Lamb-type profiles, and analyze how classical results are altered when the vorticity distribution is not piecewise constant. Furthermore we study how nonuniformity of the vorticity distribution affects the instability threshold which has been previously interpreted as a sign of the merging process. It is shown as well how this instability point is modified when one of the vortices is replaced by a point vortex of identical circulation. For this purpose, a numerical solution procedure has been developed capable of computing the perturbed streamlines, using Green's function integrals. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870200
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  • 3
    Electronic Resource
    Electronic Resource
    The spectrum of a Chebyshev-Fourier approximation for the Stokes equations (1990)
    Springer
    Journal of scientific computing 5 (1990), S. 55-84 
    Details
    ISSN: 1573-7691
    Keywords: Stokes equation ; Chebyshev-Fourier approximation ; initial value problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A Chebyshev-Fourier approximation to the solution of the two-dimensional Stokes equations in the vorticity-streamfunction formulation is considered. The expansion in a Fourier series in the direction of periodicity leads to a family of one-dimensional Stokes-type problems being approximated by a Chebyshevcollocation method. First some results about the spectrum of the corresponding operators are derived. Then we consider a discretization in time by means of a class of semi-implicit finite differences schemes and we describe the influence matrix technique used to solve the resulting system at every time step. The properties of the spectrum of the Chebyshev-Stokes operator are used to derive some results about the stability of the resulting time marching algorithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01063426
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  • 4
    Electronic Resource
    Electronic Resource
    A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection (1989)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 9 (1989), S. 427-452 
    Details
    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; Spectral method ; Chebyshev polynomials ; Convection ; 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 Chebyshev collocation method for solving the unsteady two-dimensional Navier-Stokes equations in vorticity-streamfunction variables is presented and discussed. The discretization in time is obtained through a class of semi-implicit finite difference schemes. Thus at each time cycle the problem reduces to a Stokes-type problem which is solved by means of the influence matrix technique leading to the solution of Helmholtz-type equations with Dirichlet boundary conditions. Theoretical results on the stability of the method are given. Then a matrix diagonalization procedure for solving the algebraic system resulting from the Chebyshev collocation approximation of the Helmholtz equation is developed and its accuracy is tested. Numerical results are given for the Stokes and the Navier-Stokes equations. Finally the method is applied to a double-diffusive convection problem concerning the stability of a fluid stratified by salinity and heated from below.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650090405
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  • 5
    Electronic Resource
    Electronic Resource
    Flame computations by a Chebyshev multidomain method (1989)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 9 (1989), S. 499-515 
    Details
    ISSN: 0271-2091
    Keywords: Chebyshev collocation ; Laminar flames ; Domain decomposition ; Influence matrix ; 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 Chebyshev collocation method is proposed for the computation of laminar flame propagation in a two-dimensional gaseous medium. The method is based on a domain decomposition technique associated with co-ordinate transforms to map the infinite physical subdomains into finite computational ones. The influence matrix method is used to handle the patching conditions at the interfaces. This technique is particularly efficient since at each time step only matrix products have to be performed. The method is tested first on an elliptic model problem; it is then applied to laminar flame computations, including calculations of cellular instabilities of flame fronts.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650090502
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    Paper (German National Licenses)
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