Details
| Originalsprache | Deutsch |
|---|---|
| Seiten (von - bis) | 1381-1410 |
| Seitenumfang | 30 |
| Fachzeitschrift | International Journal for Numerical Methods in Fluids |
| Jahrgang | 62 |
| Ausgabenummer | 12 |
| Publikationsstatus | Veröffentlicht - 2010 |
Abstract
Schlagwörter
- Cnoidal wave, Cubic spline, FEM, Least squares, Phase difference, PIV measurements, Regular wave, Solitary wave, Wavelet transform, Least Square, Regular waves, Computer simulation, Finite element method, Fourier analysis, Fourier transforms, Mathematical transformations, Phase shift, Solitons, Splines, Wavelet transforms, Mathematical models
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in: International Journal for Numerical Methods in Fluids, Jahrgang 62, Nr. 12, 2010, S. 1381-1410.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Quantification of phase shift in the simulation of shallow water waves
AU - Sriram, V.
AU - Sannasiraj, S.A.
AU - Sundar, V.
AU - Schlenkhoff, A.
AU - Schlurmann, T.
N1 - Cited By :15 Export Date: 1 February 2021
PY - 2010
Y1 - 2010
N2 - Numerical simulation of nonlinear waves to reproduce the laboratory measurements has been a topic of great interest in the recent past. The results reported in the literature are mainly focused on qualitative comparison or on the relative errors between the numerical simulation and measurements in laboratory and hence lack in revealing the existence of phase shift in nonlinear wave simulation. In this paper, the simulation of nonlinear waves in mixed Eulerian and Lagrangian framework using finite element method (FEM) is investigated by applying two different velocity calculation methods viz, cubic spline and least squares (LS). The simulated wave surface elevation has been compared with the experimental measurements. The coherence analysis has been carried out using the wavelet transformation, which gives a better understanding between the numerical and the experimental results with respect to the time-frequency space, compared with the conventional Fourier transformation. It is observed that the application of cubic spline approach leads to a higher phase difference for steeper waves. The present study has shown that the phase difference exists at the higher modes rather than at the primary period. For waves with steepness (wave height/wave length) higher than 0.04, LS approach is found to be effective in capturing the higher-order frequency components in the event of nonlinearity. In addition, the comparison of numerical simulations with that from PIV measurements for the tests with solitary waves is also reported. Copyright © 2009 John Wiley & Sons, Ltd.
AB - Numerical simulation of nonlinear waves to reproduce the laboratory measurements has been a topic of great interest in the recent past. The results reported in the literature are mainly focused on qualitative comparison or on the relative errors between the numerical simulation and measurements in laboratory and hence lack in revealing the existence of phase shift in nonlinear wave simulation. In this paper, the simulation of nonlinear waves in mixed Eulerian and Lagrangian framework using finite element method (FEM) is investigated by applying two different velocity calculation methods viz, cubic spline and least squares (LS). The simulated wave surface elevation has been compared with the experimental measurements. The coherence analysis has been carried out using the wavelet transformation, which gives a better understanding between the numerical and the experimental results with respect to the time-frequency space, compared with the conventional Fourier transformation. It is observed that the application of cubic spline approach leads to a higher phase difference for steeper waves. The present study has shown that the phase difference exists at the higher modes rather than at the primary period. For waves with steepness (wave height/wave length) higher than 0.04, LS approach is found to be effective in capturing the higher-order frequency components in the event of nonlinearity. In addition, the comparison of numerical simulations with that from PIV measurements for the tests with solitary waves is also reported. Copyright © 2009 John Wiley & Sons, Ltd.
KW - Cnoidal wave
KW - Cubic spline
KW - FEM
KW - Least squares
KW - Phase difference
KW - PIV measurements
KW - Regular wave
KW - Solitary wave
KW - Wavelet transform
KW - Least Square
KW - Regular waves
KW - Computer simulation
KW - Finite element method
KW - Fourier analysis
KW - Fourier transforms
KW - Mathematical transformations
KW - Phase shift
KW - Solitons
KW - Splines
KW - Wavelet transforms
KW - Mathematical models
U2 - 10.1002/fld.2072
DO - 10.1002/fld.2072
M3 - Artikel
VL - 62
SP - 1381
EP - 1410
JO - International Journal for Numerical Methods in Fluids
JF - International Journal for Numerical Methods in Fluids
SN - 0271-2091
IS - 12
ER -