A C2-continuous high-resolution upwind convection scheme

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorCorrêa, L.
dc.creatorLima, G. A B
dc.creatorCandezano, M. A C
dc.creatorBraun, M. P S
dc.creatorOishi, C. M.
dc.creatorNavarro, H. A.
dc.creatorFerreira, V. G.
dc.date2014-05-27T11:30:30Z
dc.date2016-10-25T18:53:03Z
dc.date2014-05-27T11:30:30Z
dc.date2016-10-25T18:53:03Z
dc.date2013-08-30
dc.date.accessioned2017-04-06T02:36:25Z
dc.date.available2017-04-06T02:36:25Z
dc.identifierInternational Journal for Numerical Methods in Fluids, v. 72, n. 12, p. 1263-1285, 2013.
dc.identifier0271-2091
dc.identifier1097-0363
dc.identifierhttp://hdl.handle.net/11449/76361
dc.identifierhttp://acervodigital.unesp.br/handle/11449/76361
dc.identifier10.1002/fld.3785
dc.identifierWOS:000321620400003
dc.identifier2-s2.0-84880266096
dc.identifierhttp://dx.doi.org/10.1002/fld.3785
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/897061
dc.descriptionA bounded upwinding scheme for numerical solution of hyperbolic conservation laws and Navier-Stokes equations is presented. The scheme is based on convection boundedness criterion and total variation diminishing stability criteria and developed by employing continuously differentiable functions. The accuracy of the scheme is verified by assessing the error and observed convergence rate on 1-D benchmark test cases. A comparative study between the new scheme and conventional total variation diminishing/convection boundedness criterion-based upwind schemes to solve standard nonlinear hyperbolic conservation laws is also accomplished. The scheme is then examined in the simulation of Newtonian and non-Newtonian fluid flows of increasing complexity; a satisfactory agreement has been observed in terms of the overall behavior. Finally, the scheme is used to study the hydrodynamics of a gas-solid flow in a bubbling fluidized bed. © 2013 John Wiley & Sons, Ltd.
dc.languageeng
dc.relationInternational Journal for Numerical Methods in Fluids
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectConvection scheme
dc.subjectMonotonic interpolation
dc.subjectShock-capturing
dc.subjectTVD/CBC stability criteria
dc.subjectUpwind-biased
dc.subjectBubbling fluidized bed
dc.subjectContinuously differentiable
dc.subjectHyperbolic conservation laws
dc.subjectNon-Newtonian fluid flow
dc.subjectNonlinear hyperbolic conservation laws
dc.subjectTotal variation diminishing
dc.subjectBenchmarking
dc.subjectFluidized beds
dc.subjectNavier Stokes equations
dc.subjectPhysical properties
dc.subjectStability criteria
dc.titleA C2-continuous high-resolution upwind convection scheme
dc.typeOtro


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