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dc.contributor.authorFernandez-Nieto, E.D.
dc.contributor.authorKone, E.H.
dc.contributor.authorChacon-Rebollo, T.
dc.date.accessioned2016-06-13T13:33:49Z
dc.date.available2016-06-13T13:33:49Z
dc.date.issued2014-12-31
dc.identifier.issn0885-7474
dc.identifier.urihttp://hdl.handle.net/20.500.11824/226
dc.description.abstractIn this work we present a multilayer approach to the solution of non-stationary 3D Navier-Stokes equations. We use piecewise smooth weak solutions. We approximate the velocity by a piecewise constant (in z) horizontal velocity and a linear (in z) vertical velocity in each layer, possibly discontinuous across layer interfaces. The multilayer approach is deduced by using the variational formulation and by considering a reduced family of test functions. The procedure naturally provides the mass and momentum interfaces conditions. The mass and momentum conservation across interfaces is formulated via normal flux jump conditions. The jump conditions associated to momentum conservation are formulated by means of an approximation of the vertical derivative of the velocity that appears in the stress tensor. We approximate the multilayer model for hydrostatic pressure, by using a polynomial viscosity matrix finite volume scheme and we present some numerical tests that show the main advantages of the model: it improves the approximation of the vertical velocity, provides good predictions for viscous effects and simulates re-circulations behind solid obstacles.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectHydrostatic pressure
dc.subjectMomentum
dc.subjectNavier Stokes equations
dc.subjectPolynomial approximation
dc.subjectVelocity
dc.subjectViscous flow
dc.subjectFinite volume schemes
dc.subjectMomentum conservations
dc.subjectMultilayer models
dc.subjectNumerical approaches
dc.subjectPiece-wise constants
dc.subjectVariational formulation
dc.subjectVertical derivatives
dc.subjectViscous effect
dc.subjectMultilayers
dc.titleA multilayer method for the hydrostatic Navier-Stokes equations: A particular weak solution
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s10915-013-9802-0
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs10915-013-9802-0
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleJournal of Scientific Computingen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España