Simulation of surface gravity waves in the Dyachenko variables on the free boundary of flow with constant vorticity

DOI10.1134/S0015462817010069zbMath1364.76027MaRDI QIDQ2357985

Yanyan Li

Publication date: 20 June 2017

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

vorticitymodulation instabilityconformal variablessurface gravity wavesDyachenko variablesevolution of waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (6)

Quasiperiodic perturbations of Stokes waves: secondary bifurcations and stability ⋮ Superharmonic instability of stokes waves ⋮ Canonical conformal variables based method for stability of Stokes waves ⋮ A nonlinear Schrödinger equation for gravity-capillary waves on deep water with constant vorticity ⋮ Stability analysis of deep-water waves on a linear shear current using unsteady conformal mapping ⋮ Stokes waves with constant vorticity: folds, gaps and fluid bubbles

Cites Work

• Unnamed Item
• New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
• Freak waves as nonlinear stage of Stokes wave modulation instability
• Modeling extreme waves based on equations of potential flow with a free surface
• A coupled-mode model for the scattering of water waves by shearing currents in variable bathymetry
• Ring waves on the surface of shear flows: a linear and nonlinear theory
• Steady Deep-Water Waves on a Linear Shear Current
• The Propagation of Nonlinear Wave Packets in a Shear Flow with a Free Surface
• Finite-amplitude solitary waves at the interface between two homogeneous fluids
• On the modulation of water waves on shear flows
• Steep solitary waves in water of finite depth with constant vorticity
• The Boussinesq–Rayleigh approximation for rotational solitary waves on shallow water with uniform vorticity
• Shallow water waves on shear flows
• Surface waves in flowing water
• The solitary wave on a stream with an arbitrary distribution of vorticity

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