Cement paste morphologies and effective diffusivity: using the Lattice Boltzmann method

Abstract

A novel explicit modeling framework based upon correlated Random Field and Level-Set methods is presented and applied to cement paste hydration. Focus is then made on effective diffusive properties prediction through numerical homogenization, using the Lattice Boltzmann Method (LBM), exploring the stability limits and performance of this method for heterogeneous media.RÉSUMÉ. Une méthode originale de création de morphologies de pâtes de ciment en cours d'hydratation à l'aide d'excursions de champs aléatoires corrélés est introduite. On présente ensuite le calcul des propriétés diffusives effectives homogénéisées de ces pâtes à l'aide de la Méthode de Boltzmann sur gaz réseau, les limites de stabilité et de performances associées à cette méthode pour les matériaux hétérogènes, ainsi qu'une application aux pâtes de ciment en cours d'hydratation

Heat and moisture diffusion in spruce and wood panels computed from 3-D morphologies using the Lattice Boltzmann method

“…Yablecki et al (Yablecki et al, 2012) determined the anisotropic and heterogeneous effective thermal conductivity of the gas diffusion layer of a polymer electrolyte membrane. Walther et al (Walther et al, 2016) predicted the effective diffusivity of cement paste during hydration.…”

“…However, in most studies, the effective properties of heterogeneous materials are calculated on model media or reconstructed morphologies and not on real morphologies (stochastic generation growth method (Wang et al, 2007b), uniformly distributed inclusions and randomly generated fibrous medium (Jeong et al, 2008), stochastic fibers placement algorithm (Yablecki et al, 2012) and correlated random field (Walther et al, 2016)). Wulf et al proposed a full 3D approach applied to metallic foams (Wulf et al, 2014).…”

Flow and heat transfer in anisotropic active foam porous media wall

“…Furthermore, a validation test has been performed in order to compare our numerical model with analytical approach of homogenization [14] and another numerical approach method applied in [15]. This ratification is presented in Figure 5.…”

Multi-scale modeling of the chloride diffusivity and the elasticity of Portland cement paste

“…Ma et al [12] modeled the transport properties of cement paste using a RWA applied to a refined model in which the capillary porosity is split into two scales. Walther et al [13] performed Lattice Boltzmann Method simulations on 2D representative volume elements of cement paste generated by bi-thresholded random gaussian fields in combinaison with Powers' hydration model [14].…”