A new numerical model for the resolution of density coupled flow and transport in porous media is presented. The model is based on the mixed hybrid finite elements (MHFE) and discontinuous finite elements (DFE) methods. MHFE is used to solve the flow equation and the dispersive part of the transport equation. This method is more accurate in the calculation of velocities and ensures continuity of fluxes from one element to the adjacent one. DFE is used to solve the convective part of the transport equation. Combined with a slope limiting procedure, it avoids numerical instabilities and creates a very limited numerical dispersion, even for high grid Peclet number. Flow and transport equations are coupled by a standard iterative scheme. Residual based criterion is used to stop the iterations. Simulations of an unstable equilibrium show the effects of the criteria used to stop the iterations and the stopping criterion in the solver. The effects are more important for finer grids than for coarser grids. The numerical model is verified by the simulation of standard benchmarks: the Henry and the Elder test cases. A good agreement is found between the revised semi‐analytical Henry solution and the numerical solution. The Elder test case was also studied. The simulations were similar to those presented in previous works but with significantly less unknowns (i.e. coarser grids). These results show the efficiency of the used numerical schemes.

Modeling Variable Density Flow and Solute Transport in Porous Medium: 1. Numerical Model and Verification

Numerical analysis of a stabilized finite element method for tracer injection simulations

In this paper, we develop local discontinuous Galerkin method for the two-dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in $$L^{\infty }(0, T; L^{2})$$Lź(0,TźL2) for concentration c, $$L^{2}(0, T; L^{2})$$L2(0,TźL2) for $$\nabla c$$źc and $$L^{\infty }(0, T; L^{2})$$Lź(0,TźL2) for velocity $$\mathbf{u}$$u are derived. The main techniques in the analysis include the treatment of the inter-element jump terms which arise from the discontinuous nature of the numerical method, the nonlinearity, and the coupling of the models. The main difficulty is how to treat the inter-element discontinuities of two independent solution variables (one from the flow equation and the other from the transport equation) at cell interfaces. Numerical experiments are shown to demonstrate the theoretical results.

Local Discontinuous Galerkin Method for Incompressible Miscible Displacement Problem in Porous Media

High-entropy alloys (HEAs) are one of the breakthroughs in the past decade in alloy development that have the potential to exhibit outstanding physical, mechanical, and chemical properties. This allows HEAs to be highly versatile materials for use in a variety of applications. Through reasonable composition design and post-manufacturing processes, HEAs can show superior properties compared to traditional alloys, which are highly demanded for novel emerging technologies. Severe plastic deformation (SPD) has been known as one of the most popular post-manufacturing processes for enhancing the mechanical properties of HEAs. However, there is still a lack of knowledge about the microstructure, physical, and mechanical properties of HEAs subjected to SPD processes. This review is concerned with the production of nano/ultrafine-grained HEAs using SPD techniques such as severe cold rolling (SCR), high-pressure torsion (HPT), and equal channel angular pressing (ECAP). Also, the characteristics of HEAs with respect to SPD are demonstrated, such as reduced grain growth and phase decomposition. These characteristics increase the possibility of producing nanostructured high-entropy alloys (NsHEAs) with multiple principal elements by SPD processes or by post-annealing and enable extremely high superplasticity at high strain rates. Finally, these findings introduce SPD as not only a processing tool to improve the physical and mechanical properties of HEAs, but also as a synthesis tool to fabricate novel HEAs with superior properties compared to conventional engineering materials, especially for high-tech applications. 

Enhancing the mechanical properties of high-entropy alloys through severe plastic deformation: A review

The corrosion of metals is extremely serious in high-pressure air injection oil recovery, compressed air energy storage and other harsh oxygen (O2) environments. Herein, epoxy resin (EP) used as the continuous phase, vinylidene chloride (VDC) and methacrylate (MA) copolymer (denoted as PVDCM) as the dispersed phase, an EP/PVDCM composite coating containing crystalline phase was prepared by spin-coating method. The VDC chains were arranged regularly into dense crystalline regions under the action of polar covalency, which was conducive to extending the permeability path and reducing the permeation of O2 and corrosive media. Meanwhile, EP/PVDCM composite coating had good hydrophobicity, which can further prevent the infiltration of O2 and corrosive media dissolved in water. In addition, EP improved the poor adhesion of crystalline polymers. The hydrogen bonding between MA and EP enhanced the interface bonding strength in the coating and lessened the penetration rate of O2 and corrosive media into the interface between the coating and the steel plate. Results showed that the |Z|0.01Hz value of EP/PVDCM composite coating still remained above 1010 ohm·cm2 after immersed in 12 wt% NaCl solution at 90 °C for 30 days. The O2 permeability coefficient decreased by 89.65% compared with pure EP. This research provides a novel direction for the domains of filler-free anti-corrosion and O2 barrier coatings and possesses a superior industrial application prospect. 

Crystalline polyvinylidene chloride embedded in epoxy composite coating for oxygen gas barrier and anti-corrosion

Microstructural evolution, strengthening and high thermal conductivity mechanisms of FeCrV-based medium-entropy alloys with Laves phase precipitation formed by adding minimal Ti

In this paper, we shall dérive a new model for the miscible displacement of one incompressible fluid by another in porous media using simple physical conservation laws For a dilute mixture m which the density can be approximated by a constant, this new model reduces to the standard one used for the last decade The model is governed by a nonlinear system consisting of pressure and concentration équations The pressure équation is elliptic, while the concentration équation is parabolic but normally convection-dominated We then present and analyze some extensions of the stabihzed finite element methods that have been developed for steady convection-diffusion problems to the Systems of miscible displacement The analysis is first g iv en to the concentration équation for a given vélo city field, and then extended to the gênerai case where the velocity is obtained by solving pressure équations with a mixed finite element method In both cases, the stabilities and error estimâtes are given Résumé — Dans cet article, nous présentons un nouveau modèle pour le déplacement miscible d'un fluide incompressible par un autre dans les milieux poreux utilisant des lois simples physiques de conservation Pour un mélange dilué dans lequel la densité peut être approchée par une constante, ce nouveau modèle se réduit a celui utilisé depuis ces dix dernières années Le modèle est décrit par un système non linéaire composé des équations de la pression et de la concentration U équation de la pression est elliptique tandis que V équation de la concentration est parabolique, mais normalement dominée par la convexion Nous présentons et analysons quelques extensions au système de déplacement miscible des méthodes d'éléments finis stabilisées qui ont été développées pour les problèmes de convexion-diffusion stationnaires On considère d'abord l'équation de la concentration pour un champ de vitesse donné puis le cas gêner al ou la vitesse est obtenue par la résolution de V équation de la pression par une méthode d'éléments finis mixtes Dans les deux cas, on donne les estimations de la stabilité et de l'erreur (') Manuscript received January 10, 1994 (') Center for Applied Mathematics, Purduc University, West Latayette IN 47907, U S A M AN Modélisation mathématique et Analyse numérique 0764-5 83X/94/05/S 4 00 Mathematical Modelling and Numencal Analysis © AFCET Gauthier-Villars

/pdf/stabilized-finite-element-methods-for-miscible-displacement-4imnqt5uku.pdf

Stabilized finite element methods for miscible displacement in porous media

Novel design method for constrained conjugate contact curves of line gears based on rolling-up of pitch pattern

In this contribution, the causes leading to the undesired unevenness on the exterior surface of a paper‐based sandwich structure during the manufacturing process are investigated. This provides insight into the manufacturing parameters that need to be adjusted to reduce this waviness. A finite element model of the pressing process is developed in the commercial software ABAQUS and then used to analyze the formation of the surface unevenness. The sandwich structure adopted in the model consists of a decorative layer, an intermediate layer, a corrugated core and a bottom layer. In particular, the core has a sinusoidal structure with various geometry parameters, which are adjusted in the model to investigate the effect on the waviness of the top surface. The results of the quasi‐static process simulation correlate well with the experimental results. A subsequent parameter study based on the design of experiments (DoE) shows the relationship between the material parameters of the intermediate/bottom layer and the resulting waviness.

https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/pamm.202200228

Optimization of the dimensional stability of paper‐based sandwich panels during the pressing process using design of experiments

A versatile thin polysiloxane composite coating targeting for threads endowed with properties of anti-corrosion and friction reduction

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