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  • 1995-1999  (5)
  • 1985-1989  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Solitary waves on water of finite depth with a surface or bottom shear layer (1995)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 7 (1995), S. 1048-1055 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Two-dimensional, gravity solitary waves on water of finite depth with a surface layer of uniform vorticity are considered. Accurate numerical solutions are computed by a boundary integral equation method. It is found that the waves have a limiting configuration with a 120° angle at the surface crest and that the shapes of the limiting profiles near the surface crest are different for positive and negative vorticity. The effects of the shear layer strength and thickness on the wave profiles are discussed. In addition, a related configuration when the shear layer is near the bottom is also considered. It is shown that some of the branches of solutions have a limiting configuration with a 120° angle at the surface crest and that others ultimately approach a solitary wave without gravity. This is to be contrasted with the case of a surface shear layer for which all the corresponding branches approach a limiting configuration with a 120° angle at the surface crest. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868617
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Broadening of interfacial solitary waves (1988)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 2486-2490 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Progressing interfacial gravity waves are considered for two fluids of differing densities confined in a channel of finite vertical extent and infinite horizontal extent. An integrodifferential equation for the unknown shape of the interface is derived. This equation is discretized and the resulting algebraic equations are solved using Newton's method. It is found that, for a range of heights and densities of the two fluids, the system supports a branch of solitary waves. Progression along the branch produces a broadening of the wave. With increased broadening both the amplitude and the wave speed approach limiting values. The results are in good agreement with analytical studies and indicate the existence of internal surges.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866602
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The limiting configuration of interfacial gravity waves (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 372-375 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Progressive gravity waves at the interface between two unbounded fluids are considered. The flow in each fluid is taken to be potential flow. The problem is converted into a set of integrodifferential equations, reduced to a set of algebraic equations by discretization, and solved by Newton's method together with parameter variation. Meiron and Saffman's [J. Fluid Mech. 129, 213 (1983)] calculations showing the existence of overhanging waves are confirmed. However, the present calculations do not support Saffman and Yuen's [J. Fluid Mech. 123, 459 (1982)] conjecture that the waves are geometrically limited (i.e., that solutions exist until the interface intersects itself). It is proposed that along a solution branch starting with sinusoidal waves of small amplitude, one reaches solutions with vertical streamlines and then overhanging waves. Continuing on this branch, one returns to nonoverhanging waves and then back toward a wave with vertical streamlines. It is suggested that this succession of patterns and accompanying oscillation in wave characteristics is repeated indefinitely. Graphs of the results are included.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865721
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Comments on "Weakly nonlocal gravity-capillary solitary waves'' [Phys. Fluids 8, 1506 (1996)] (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 245-246 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An apparent contradiction between the results of Yang and Akylas [Phys. Fluids 8, 1506 (1996)] and those of Vanden-Broeck [Phys. Fluids 3, 2669 (1991)] is clarified by comparing the cnoidal and solitary waves predicted by the Korteweg–de Vries theory. In particular the rate at which the cnoidal waves approach a solitary wave as the wavelength is increased, is discussed. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869166
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Capillary waves with variable surface tension (1996)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 799-808 
    Details
    ISSN: 1420-9039
    Keywords: 76B45 ; 76D33 ; Capillary waves ; surfactants
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The classical problem of capillary waves propagating at a constant velocity at the surface of a fluid of infinite depth is reexamined. The surface tension is assumed to vary along the free surface. The problem is solved numerically by series truncation. It is shown that the properties of the waves are qualitatively similar to those of waves with constant surface tension and that there are nonsymmetric waves with variable surface tension.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00915276
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  • 6
    Electronic Resource
    Electronic Resource
    The influence of a layer of mud on the train of waves generated by a moving pressure distribution (1996)
    Springer
    Journal of engineering mathematics 30 (1996), S. 387-400 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Two-dimensional free surface flows generated by a moving distribution of pressure are considered. The bottom is assumed to be covered by a thin layer of mud. The mud is modelled as a viscous fluid. The problem is solved numerically by a boundary integral equation method. It is shown that the layer of mud produces a damping of the waves in the far field. Profiles of the free surface and of the surface of the mud are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042758
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Waves generated by a source below a free surface in water of finite depth (1996)
    Springer
    Journal of engineering mathematics 30 (1996), S. 603-609 
    Details
    ISSN: 1573-2703
    Keywords: free-surface flows ; water waves ; source
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract The free-surface flow due to a submerged source in water of finite depth is considered. The fluid is assumed to be inviscid and incompressible. The problem is solved numerically by using a boundary integral equation formulation due to Hocking and Forbes [6]. The numerical results show that there is a train of waves on the free surface in accordance with the results of Mekias and Vanden-Broeck [5]. For small values of the Froude number, the amplitude of the waves is so small that the free surface is essentially flat in the far field. These waveless profiles agree with the calculations of Hocking and Forbes [6].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00036621
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    Paper (German National Licenses)
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