Nonlinear water waves on uniform current in Lagrangian coordinates

HC Hsu, YY Chen, JRC Hsu, WJ Tseng - Journal of Nonlinear …, 2009 - Springer
This paper presents a new third-order trajectory solution in Lagrangian form for the water
particles in a wave-current interaction flow based on an Euler—Lagrange transformation …

An experimental investigation into the evolving instability of a subaqueous mild silty slope under progressive waves

X Liu, F Zhu, H Zhao, J Zhou, H Liu, S Han - Ocean Engineering, 2022 - Elsevier
The silty sediments that are widely distributed in estuaries and deltas are susceptible to
slope instability due to ocean storms. Flume experiments were carried out in this study to …

Lagrangian experiment and solution for irrotational finite-amplitude progressive gravity waves at uniform depth

YY Chen, HC Hsu, GY Chen - Fluid dynamics research, 2010 - iopscience.iop.org
This study investigates the theory for predicting Lagrangian properties including particle
orbit, Lagrangian mean level, Lagrangian wave frequency, mass transport velocity, wave …

Making procedural water waves boundary‐aware

S Jeschke, C Hafner, N Chentanez… - Computer Graphics …, 2020 - Wiley Online Library
The “procedural” approach to animating ocean waves is the dominant algorithm for
animating larger bodies of water in interactive applications as well as in off‐line productions …

[HTML][HTML] A continuous non-ergodic theory for the wave set-up

S Mendes - European Journal of Mechanics-B/Fluids, 2024 - Elsevier
Inhomogeneities in the wave field due to wave groups, currents, and shoaling among other
ocean processes can affect the mean water level. In this work, the classical and unsolved …

Interplay among dispersion, gain and nonlinearity for nonlinear Schrödinger equations in an inhomogeneous medium: applications to coastal engineering

CN Wong, HM Yin, KW Chow - Nonlinear Dynamics, 2024 - Springer
The evolution of a weakly nonlinear, narrow-banded wave packet in an inhomogeneous
medium is studied in the context of coastal engineering. Analytically the model is a variable …

Particle trajectories beneath wave-current interaction in a two-dimensional field

YY Chen, HC Hsu, HH Hwung - Nonlinear Processes in …, 2012 - npg.copernicus.org
Within the Lagrangian reference framework we present a third-order trajectory solution for
water particles in a two-dimensional wave-current interaction flow. The explicit parametric …

Perturbation analysis of short-crested waves in Lagrangian coordinates

HC Hsu, YY Chen, CF Wang - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
A new second-order asymptotic solution that describes short-crested waves is derived in
Lagrangian coordinates. The analytical Lagrangian solution that is uniformly valid satisfies …

A third-order asymptotic solution of nonlinear standing water waves in Lagrangian coordinates

C Yang-Yih, H Hung-Chu - Chinese Physics B, 2009 - iopscience.iop.org
Asymptotic solutions up to third-order which describe irrotational finite amplitude standing
waves are derived in Lagrangian coordinates. The analytical Lagrangian solution that is …

Particle trajectories for waves on a linear shear current

HC Hsu - Nonlinear Analysis: Real World Applications, 2013 - Elsevier
Within the Lagrangian reference frame we present a third-order solution for water particles in
a two-dimensional wave and shear current interaction flow. For the case of linear shear …