A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude

DOI10.1137/14096966XzbMath1321.35146arXiv1408.2471OpenAlexW2964001186WikidataQ58869914 ScholiaQ58869914MaRDI QIDQ5264055

Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer

Publication date: 20 July 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2471

zbMATH Keywords

vorticityhodograph transformstream functionpenalization methodincompressible Euler equationslarge amplitudeperiodic traveling water waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Waves for incompressible viscous fluids (76D33) Euler equations (35Q31)

Related Items (15)

On irrotational flows beneath periodic traveling equatorial waves ⋮ On the maximal horizontal surface velocity for a rotational water wave near breaking ⋮ Resonant interactions of rotational water waves in the equatorial f-plane approximation ⋮ Analytical approximation and numerical simulations for periodic travelling water waves ⋮ Capturing the flow beneath water waves ⋮ On the time evolution of the velocity in equatorial ocean waves approaching breaking ⋮ Asymptotic expansions for steady periodic water waves in flows with constant vorticity ⋮ Explicit solutions for a long-wave model with constant vorticity ⋮ A numerical continuation approach for computing water waves of large wave height ⋮ Approximations of steady periodic water waves in flows with constant vorticity ⋮ Oscillating line source in a shear flow with a free surface: critical layer-like contributions ⋮ Large-amplitude steady downstream water waves ⋮ Stationary water waves on rotational flows of two vortical layers ⋮ On rotational flows with discontinuous vorticity beneath steady water waves near stagnation ⋮ On Symmetric Water Waves with Constant Vorticity

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