We study the two dimensional XY model with quenched random phases and its Coulomb gas formulation. A novel renormalization group (RG) method is developed which allows to study perturbatively the glassy low temperature XY phase and the transition at which frozen topological defects (vortices) proliferate. This RG approach is constructed both from the replicated Coulomb gas and, equivalently with...

Oversampling techniques are often used in porous media simulations to achieve high accuracy in multiscale simulations. These methods reduce the effect of artificial boundary conditions that are imposed in computing local quantities, such as upscaled permeabilities or basis functions. In the problems without scale separation and strong non-local effects, the oversampling region is taken to be th...

A hybrid of evolutionary programming (EP) and a deterministic optimization procedure is applied to a series of nonlinear and quadratic optimization problems. The hybrid scheme is compared with other existing schemes such as EP alone, two-phase (TP) optimization, and EP with a non-stationary Penalty function (NS-EP). The results indicate that the hybrid method can outperform the other methods wh...

multiphase flows are commonly encountered in oil and gas industries. the transport of multiphase flow causes the formation of slug, the increase of pressure drop and the possibility of phase changes therefore, a set of simulation runs was performed to predict flow regimes in a horizontal pipeline, and the results were compared with the baker chart. the effects of small downward inclinations of ...

Canine embryos (8-cell to blastocyst stages) frozen-thawed using the slow-freezing method with glycerol (four recipients) or dimethyl sulfoxide (three recipients) as a cryoprotectant and vitrified-warmed using the Cryotop method (five recipients) were surgically transferred into the unilateral uterine horn of recipient bitches. As a result, the morphology of embryos frozen-thawed using the slow...

MOTIVATION Time-series measurements of metabolite concentration have become increasingly more common, providing data for building kinetic models of metabolic networks using ordinary differential equations (ODEs). In practice, however, such time-course data are usually incomplete and noisy, and the estimation of kinetic parameters from these data is challenging. Practical limitations due to data...

We consider a fully implicit formulation for two-phase flow in a porous medium with capillarity, gravity, and compressibility in three dimensions. The method is implicit in time and uses the multiscale mortar mixed finite element method for a spatial discretization in a nonoverlapping domain decomposition context. The interface conditions between subdomains are enforced in terms of Lagrange mul...

The problem of a two-phase dispersed medium is studied within the kinetic theory. In the case of small and undeformable spheres that have all the same radius, a model for the collision operator of the Boltzmann equation is proposed. The collisions are supposed instantaneous, binary and inelastic. The obtained collision operator allows, to prove the existence of an H theorem in several configura...

In simulating two-phase flows, interface normal vectors and curvatures are needed for modeling surface tension. In the traditional approach, these quantities are calculated from the spatial derivatives of a scalar function (e.g. the volume-offluid or the level set function) at any instant in time. The orders of accuracy of normals and curvatures calculated from these functions are studied. A ne...

Abstract Several studies indicate that the temperature distribution in concrete may affect extent of frost scaling. This study presents a numerical model describes thermal response freezing mortars presence an external liquid reservoir, where is either pure water or 3% sodium chloride solution. The phase transformation supercooled modelled two stages: quick freezing, when starts to form crystal...