The purpose of the present paper is to study theoretically the stability and accuracy of dualtime-steppingmethods for the advection-diffusionequation, in conjuctionwith high-order upwindbiased space-discretizations, and high-order backward-differences time-discretizations. These results are in particular analyzed for typical nondimensional time-steps encountered in the simulation of wall-bounde...

We define the dual of a set of generators of the fundamental group of an oriented two-surface S g,n of genus g with n punctures and the associated surface S g,n \D with a disc D removed. This dual is another set of generators related to the original generators via an involution and has the properties of a dual graph. In particular, it provides an algebraic prescription for determining the inter...

A novel graphical method of analysing continuous membrane separation systems has been developed. The method is applicable to all counterand co-current membrane modules – single-stage, cascades, and membrane columns. All configurations can be broken down into “column sections”, no matter how complex the arrangement. Each column section, which resembles a typical single-stage separator, is modell...

In this work, we are interested in effects of a simple profile of permanent charges on ionic flows. We determine when a permanent charge produces current reversal. We adopt the classical Poisson-NernstPlanck models of ionic flows for this study. The starting point of our analysis is the recently developed geometric singular perturbation approach for Poisson-Nernst-Planck models. Under the setti...

electric and hybrid electric vehicles are attractive candidates for sustainable transportation due to its higher efficiency and low emission. the critical choice on the electric motors is its capability of motoring and regenerative braking characteristics. switched reluctance machines are viable candidate as with proper control and extended constant power range operation replacing the multi-gea...