Irrotational Motion

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L M Gonzalezromero - One of the best experts on this subject based on the ideXlab platform.

F J Chinea - One of the best experts on this subject based on the ideXlab platform.

Didier Clamond - One of the best experts on this subject based on the ideXlab platform.

  • Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth
    Journal of Fluid Mechanics, 2018
    Co-Authors: Didier Clamond, Denys Dutykh
    Abstract:

    This paper describes an efficient algorithm for computing steady two-dimensional surface gravity wave in Irrotational Motion. The algorithm complexity is O(N log N), N being the number of Fourier modes. The algorithm allows the arbitrary precision computation of waves in arbitrary depth, i.e., it works efficiently for Stokes, cnoidal and solitary waves, even for quite large steepnesses. The method is based on conformal mapping, Babenko equation rewritten in a suitable way, pseudo-spectral method and Petviashvili's iterations. The efficiency of the algorithm is illustrated via some relevant numerical examples. The code is open source, so interested readers can easily check the claims, use and modify the algorithm.

  • New exact relations for steady Irrotational two-dimensional gravity and capillary surface waves
    Philosophical Transactions of the Royal Society A, 2017
    Co-Authors: Didier Clamond
    Abstract:

    Steady two-dimensional surface capillary–gravity waves in Irrotational Motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some transformations of the boundary conditions at the free surface, new exact relations and equations for the free surface only are derived. In particular, a physical plane counterpart of the Babenko equation is obtained. This article is part of the theme issue ‘Nonlinear water waves’.

  • Fast accurate computation of the fully nonlinear solitary surface gravity waves
    Computers & Fluids, 2013
    Co-Authors: Didier Clamond, Denys Dutykh
    Abstract:

    In this short note, we present an easy to implement and fast algorithm for the computation of the steady solitary gravity wave solution of the free surface Euler equations in Irrotational Motion. First, the problem is reformulated in a fixed domain using the conformal mapping technique. Second, the problem is reduced to a single equation for the free surface. Third, this equation is solved using Petviashvili’s iterations together with pseudo-spectral discretisation. This method has a super-linear complexity, since the most demanding operations can be performed using a FFT algorithm. Moreover, when this algorithm is combined with the multi-precision floating point computations, the results can be obtained to any arbitrary accuracy.

  • Note on the velocity and related fields of steady Irrotational two-dimensional surface gravity waves
    Philosophical Transactions of the Royal Society A, 2012
    Co-Authors: Didier Clamond
    Abstract:

    The velocity and other fields of steady two-dimensional surface gravity waves in Irrotational Motion are investigated numerically. Only symmetric waves with one crest per wavelength are considered, i.e. Stokes waves of finite amplitude, but not the highest waves, nor subharmonic and superharmonic bifurcations of Stokes waves. The numerical results are analysed, and several conjectures are made about the velocity and acceleration fields.

K Y Yick - One of the best experts on this subject based on the ideXlab platform.

M J Casarella - One of the best experts on this subject based on the ideXlab platform.

  • influences of near wall and induced Irrotational Motion in a turbulent boundary layer on wall pressure fluctuations
    Journal of Energy Resources Technology-transactions of The Asme, 1995
    Co-Authors: V Wilczynski, M J Casarella
    Abstract:

    While many studies have investigated the influence of flow structure in a turbulent boundary layer on the wall pressure signature, the conclusion of these studies have often been limited due to their reliance on a single observation. These single observations include investigations using one signal processing method over a range of locations, or a variety of signal processing techniques at a single location in the boundary layer. Hence, the conclusions often include conjecture on the impact of the flow structure at other physical locations, as well as predictions on the observable effect of flow structure should the turbulence be examined with a different signal processing perspective. In the current study, experimental data of simultaneous wall pressure and velocity fluctuations across the boundary layer have been obtained in a low-noise flow facility. These data have been examined using a variety of signal processing techniques, including probability distributions and spectral analysis. The distinct features of the Reynolds stress within the boundary layer and the observed Irrotational Motion at the outer edge of the boundary layer were evident in the results from each signal processing method. The influence of these two flow patterns on the wall pressure spectrum was identified and support conjecturesmore » made on the correlation between turbulence source locations and frequency bands in the wall pressure spectrum. The investigation demonstrates the necessity and utility of multiple perspectives over a range of spatial locations to study turbulence.« less

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