Corrêa, L.Lima, G. A BCandezano, M. A CBraun, M. P SOishi, C. M. [UNESP]Navarro, H. A.Ferreira, V. G.2014-05-272014-05-272013-08-30International Journal for Numerical Methods in Fluids, v. 72, n. 12, p. 1263-1285, 2013.0271-20911097-0363http://hdl.handle.net/11449/76361A 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.1263-1285engConvection schemeMonotonic interpolationShock-capturingTVD/CBC stability criteriaUpwind-biasedBubbling fluidized bedContinuously differentiableHyperbolic conservation lawsNon-Newtonian fluid flowNonlinear hyperbolic conservation lawsTotal variation diminishingBenchmarkingFluidized bedsNavier Stokes equationsPhysical propertiesStability criteriaArtigo10.1002/fld.3785WOS:000321620400003Acesso restrito2-s2.0-84880266096