Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface
DOI10.1051/m2an/2019044zbMath1434.65147arXiv1709.06267OpenAlexW2963267229WikidataQ127636142 ScholiaQ127636142MaRDI QIDQ5216107
Sebastien Allgeyer, Martin Valée, Raouf Hamouda, Marie-Odile Bristeau, David Froger, Fabien Souille, Jacques Sainte-Marie, V. Jauzein, Anne Mangeney-Castelnau
Publication date: 14 February 2020
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06267
Navier-Stokes equationsfree surfacefinite volumesEuler systemfree surface flows3D modelkinetic descriptionhydrostatic assumption
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)
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