We consider heat conduction in domains containing noncoaxial cylinders. In particular, we present some regularity results for the solution and consider criteria which ensure the single valueness of the corresponding complex potential. Examples are discussed. In addition, we present some classes of cases where the parameters describing the solution are rational. Alternative ways of calculating t...

Learning to integrate non-linear equations from highly resolved direct numerical simulations has seen recent interest for reducing the computational load fluid simulations. Here, we focus on determining a flux-limiter shock capturing methods. Focusing flux limiters provides specific plug-and-play component existing Since their introduction, an array of been designed. Using coarse-grained Burger...

This paper is the initial investigation into a new Lagrangian cell-centered hydrodynamic scheme that is motivated by the desire for an algorithm that resists mesh imprinting and has reduced complexity. Key attributes of the new approach include multidimensional construction, the use of flux-corrected transport (FCT) to achieve second order accuracy, automatic determination of the mesh motion th...

-This paper presents a brief review of the experience and perspective of a large Canadian utility with Under Excitation Limiters (UELs). The purpose of the UEL is reviewed along with the results of field testing and modelling. It is concluded that users of these devices must define the dynamic performance requirements of the limiters, by examining the purpose of their installation, and then set...

In this paper we discuss the effect of chemical reaction and thermal radiation on unsteady free convective heat and mass transfer flow through a porous medium in a vertical wavy channel. The unsteadiness in the flow is due to the oscillatory flux in the flow region. The coupled equations governing the flow, heat and mass transfer have been solved by using a perturbation technique with the slope...

This paper is concerned with the total variation of the solution of scalar conservation law with discontinuous flux in one space dimension. One of the main unsettled questions concerning conservation law with discontinuous flux was the boundedness of the total variation of the solution near interface. In [1], it has been shown by a counter example at T = 1, that the total variation of the solut...

This article presents an enhanced flux weakening (FW) control scheme for permanent magnet synchronous motors, focused on electric vehicle applications. The novelty of the proposed algorithm is integration in a unified both accelerator pedal as torque reference and cruise speed limiter limit, without interfering between them until this limit achieved. <italic xmlns:mml="http://www.w3.org/1998/Ma...

I These equations are implemented in GBS, a 3D, flux-driven, global turbulence code with circular geometry, and the system is closed by the Poisson’s equation ω = ∇⊥φ [Ricci et al., PPCF 2012] I System is completed with a set of first-principles boundary conditions applicable at the magnetic pre-sheath entrance where the magnetic field lines intersect the limiter [Loizu et al., PoP 2012]: v‖i =...

In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme involving flux limiter techniques is proposed to minimize them and guarantee a better numerical stability at very low viscosity. The phase separation kineti...