scholarly journals Fully nonlinear simulations of unidirectional extreme waves provoked by strong depth transitions: The effect of slope

2020 ◽  
Vol 5 (6) ◽  
Author(s):  
Yaokun Zheng ◽  
Zhiliang Lin ◽  
Yan Li ◽  
T. A. A. Adcock ◽  
Ye Li ◽  
...  
Keyword(s):  
Extreme Waves ◽  
Fully Nonlinear ◽  
Nonlinear Simulations

scholarly journals Steep unidirectional wave groups – fully nonlinear simulations vs. experiments

2015 ◽  
Vol 2 (4) ◽  
pp. 1159-1195 ◽  
Author(s):  
L. Shemer ◽  
B. K. Ee
Keyword(s):  
Wave Breaking ◽  
Surface Elevation ◽  
Computational Results ◽  
Local Surface ◽  
Qualitative Comparison ◽  
Wave Groups ◽  
Fully Nonlinear ◽  
Nonlinear Simulations ◽  
Velocity Of Propagation ◽  
Steep Waves

Abstract. A method was developed to carry out detailed qualitative comparison of fully nonlinear computations with the measurements of unidirectional wave groups. Computational results on evolving wave groups were compared with the available experiments. The local surface elevation variation, evolution of envelope shapes, the velocity of propagation of the steepest crests in the group and their relation to the height of the crests were obtained numerically and experimentally. Conditions corresponding to incipient wave breaking were investigated in greater detail. The results shed additional light on the limits of applicability of the computational results, as well as on mechanisms leading to the breaking of steep waves.

Spatial Extreme Value Analysis of Nonlinear Simulations of Random Surface Waves

2004 ◽  
Author(s):  
Harald E. Krogstad ◽  
Jingdong Liu ◽  
Herve´ Socquet-Juglard ◽  
Kristian B. Dysthe ◽  
Karsten Trulsen
Keyword(s):  
Gravity Waves ◽  
Ocean Waves ◽  
Spatial Characteristic ◽  
Extreme Value Analysis ◽  
Extreme Waves ◽  
Random Surface ◽  
Value Analysis ◽  
Nonlinear Simulations ◽  
Gaussian Theory ◽  
Reconstructed Wave

The paper first recalls the Slepian Model Representation and a theorem of V. I. Piterbarg as generic tools for analyzing the spatial characteristic of ocean waves. We then consider numerical simulations of random surface gravity waves carried out in space and time by means of the modified nonlinear Schro¨dinger equation. It is shown that the extreme waves in the simulations are steeper and more asymmetric than predicted by the Gaussian theory. Moreover, the reconstructed wave fields shows extreme crest heights well in excess of what is expected from the Gaussian theory.

CONVECTIVE PATTERNS IN LIQUID–VAPOR SYSTEMS WITH DIFFUSE INTERFACE

2006 ◽  
Vol 16 (09) ◽  
pp. 2705-2711 ◽  
Author(s):  
RODICA BORCIA ◽  
DOMNIC MERKT ◽  
MICHAEL BESTEHORN
Keyword(s):  
Phase Field ◽  
Compressible Fluid ◽  
Field Model ◽  
Marangoni Convection ◽  
Van Der Waals ◽  
Phase Field Model ◽  
Diffuse Interface ◽  
Fully Nonlinear ◽  
Nonlinear Simulations ◽  
Liquid Vapor

Recently, we have developed a phase field model to describe Marangoni convection with evaporation in a compressible fluid of van der Waals type away from criticality [Eur. Phys. J. B44 (2005)]. Using this model, we report now 2D fully nonlinear simulations where we emphasize the influence of evaporation on convective patterns.

Extreme waves induced by strong depth transitions: Fully nonlinear results

2014 ◽  
Vol 26 (5) ◽  
pp. 051705 ◽  
Author(s):  
Claudio Viotti ◽  
Frédéric Dias
Keyword(s):  
Extreme Waves ◽  
Fully Nonlinear

scholarly journals Evolution and Stability of Two-Dimensional Anelastic Internal Gravity Wave Packets

2018 ◽  
Vol 75 (10) ◽  
pp. 3703-3724 ◽  
Author(s):  
Alain D. Gervais ◽  
Gordon E. Swaters ◽  
Ton S. van den Bremer ◽  
Bruce R. Sutherland
Keyword(s):  
Wave Packet ◽  
Gravity Wave ◽  
Linear Theory ◽  
Nonlinear Evolution ◽  
Wave Packets ◽  
Internal Gravity Wave ◽  
Two Dimensional ◽  
Fully Nonlinear ◽  
Weakly Nonlinear ◽  
Nonlinear Simulations

The weakly nonlinear evolution, stability, and overturning of horizontally and vertically localized internal gravity wave packets is examined for a nonrotating, anelastic atmosphere that is stationary in the absence of waves. The weakly nonlinear evolution is examined through the derivation of their wave-induced mean flow, which is used to formulate a nonlinear Schrödinger equation. The induced flow is manifest as a long, hydrostatic, bow wake-like disturbance, whose flow direction transitions from positive on the leading flank of the wave packet to negative on the trailing flank of the wave packet. As such, two-dimensional wave packets are always modulationally unstable. This instability results in enhanced amplitude growth confined to either the leading or trailing flank. Hence, when combined with anelastic growth predicted by linear theory, we anticipate two-dimensional waves will overturn either somewhat below or just above the heights predicted by linear theory. Numerical solutions of the Schrödinger equation are compared with the results of fully nonlinear simulations to establish the validity of the weakly nonlinear theory. Actual wave overturning heights are determined quantitatively from a range of fully nonlinear simulations.

scholarly journals Steep unidirectional wave groups – fully nonlinear simulations vs. experiments

2015 ◽  
Vol 22 (6) ◽  
pp. 737-747 ◽  
Author(s):  
L. Shemer ◽  
B. K. Ee
Keyword(s):  
Wave Breaking ◽  
Initial Conditions ◽  
Crucial Importance ◽  
Local Surface ◽  
Exact Matching ◽  
Wave Groups ◽  
Fully Nonlinear ◽  
Nonlinear Simulations ◽  
Velocity Of Propagation ◽  
Steep Waves

Abstract. A detailed quantitative comparison of fully nonlinear computations with the measurements of unidirectional wave groups is presented. Computational results on evolving wave groups were compared with previous available experiments. The local surface elevation variation, the evolution of envelope shapes, the velocity of propagation of the steepest crests in the group and their relation to the height of the crests were obtained numerically and experimentally. Conditions corresponding to incipient wave breaking were investigated in greater detail. The results shed additional light on mechanisms leading to the breaking of steep waves, as well as on the crucial importance of exact matching between initial conditions in computations and experiments.

Steep Unidirectional Wave Groups: Fully Nonlinear Simulations vs Experiments

2015 ◽  
Author(s):  
Lev Shemer ◽  
Bernard K. Ee
Keyword(s):  
Surface Elevation ◽  
Computational Results ◽  
Local Surface ◽  
Qualitative Comparison ◽  
Wave Groups ◽  
Fully Nonlinear ◽  
Nonlinear Simulations ◽  
Velocity Of Propagation ◽  
Steep Waves

A method was developed to carry out detailed qualitative comparison of fully nonlinear computations with the measurements of unidirectional wave groups. Computational results on evolving wave groups were compared with the available experiments. The local surface elevation variation, evolution of envelope shapes, the velocity of propagation of the steepest crests in the group and their relation to the height of the crests were obtained numerically and experimentally. The results shed additional light on the mechanisms leading to the breaking of steep waves.

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