Carreau
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Related Articles from SNS
Viscous spectral energy coupling across scales in generalised Newtonian fluids
Announce Type: new Abstract: We investigate the spectral energy dynamics of turbulent flows with variable viscosity using direct numerical simulation of homogeneous isotropic turbulence of generalised Newtonian fluids described by the Carreau constitutive model, covering both shear-thinning and shear-thickening regimes. The spectral evolution equations for the variable viscosity Navier-Stokes system show that the viscous term becomes nonlinear and gives rise to a convolution product in...
Neural-Network-based Viscosity Closure for Non-Newtonian Multiphase Flows
arXiv:2605.30659v1 Announce Type: new Abstract: Materials used in polymer-based additive manufacturing processes, such as Digital Light Processing (DLP) and direct ink writing (DIW), typically exhibit non-Newtonian rheology. Carreau--Yasuda and power-law models describe basic shear-thinning and shear-thickening behavior well, but applying them to a new material requires choosing a functional form, deriving it, and re-implementing it inside the flow solver. We present a deployment workflow in...
Linear Motility Maps in Nonlinear Viscous Fluids
arXiv:2606.00063v1 Announce Type: cross Abstract: Systems moving in low Reynolds number fluid regimes are known to be governed by a ``motility map'' which linearly relates their shape change rates to they body frame velocity moving through the fluid. A consequence of this is ``Purcell's Scallop Theorem'' -- a locomotion system that undergoes shape changes that follow the same path forward and backward in time (reciprocal body deformations) cannot achieve net displacement, regardless of...
Auxiliary Gradient-Flow Solvers for Generalized Newtonian Models
Announce Type: new Abstract: We introduce an auxiliary gradient-flow framework for variational problems with generalized Newtonian structure governed by an N-function. The key idea is to replace the nonlinear constitutive dependence on the gradient, or symmetric gradient, by an auxiliary scalar variable representing its squared magnitude. This shifts the nonlinearity from the state equation to the auxiliary variable, yielding a sequence of uniformly elliptic weighted linear problems.
Four-Level Overlapping Schwarz as Multigrid Coarse Solver for Incompressible Non-Newtonian Flow in Complex Geometries
arXiv:2606.01433v1 Announce Type: new Abstract: For complex geometries, the coarse problem of geometric multigrid can be too large to be solved by a direct solver. Here, we report on the use of domain decomposition applied to the multigrid coarse problem. Additive overlapping Schwarz methods are domain decomposition methods for the iterative solution of partial differential equations whose numerical and parallel scalability can be improved by the addition of coarse levels.
Paris celebrates love at the 2026 ‘Nuit Blanche’ all-night art festival
Paris celebrates love at the 2026 ‘Nuit Blanche’ all-night art festival The 25th annual Nuit Blanche (White Night) contemporary art festival will transform Paris into a giant artistic playground on Saturday. This year's artistic director, Barbara Butch, has been given carte blanche to curate the all-night event, which will feature nearly 200 free installations focused on love, celebration and collective creativity.