A high accuracy hybrid method for two-dimensional Navier–Stokes equations

A dual-mesh hybrid numerical method is proposed for high Reynolds and high Rayleigh number flows. The scheme is of high accuracy because of the use of a fourth-order finite-difference scheme for the time-dependent convection and diffusion equations on a non-uniform mesh and a fast Poisson solver DFPS2H based on the HODIE finite-difference scheme and algorithm HFFT [R.A. Boisvert, Fourth order accurate fast direct method for the Helmholtz equation, in: G. Birkhoff, A. Schoenstadt (Eds.), Elliptic Problem Solvers II, Academic Press, Orlando, FL, 1984, pp. 35–44] for the stream function equation on a uniform mesh. To combine the fast Poisson solver DFPS2H and the high-order upwind-biased finite-difference method on the two different meshes, Chebyshev polynomials have been used to transfer the data between the uniform and non-uniform meshes. Because of the adoption of a hybrid grid system, the proposed numerical model can handle the steep spatial gradients of the dependent variables by using very fine resolutions in the boundary layers at reasonable computational cost. The successful simulation of lid-driven cavity flows and differentially heated cavity flows demonstrates that the proposed numerical model is very stable and accurate within the range of applicability of the governing equations.     

Product variational measures and Fubini-Tonelli type theorems for the Henstock-Kurzweil integral II

This paper is a continuation of the paper [T.Y. Lee, Product variational measures and Fubini-Tonelli type theorems for the Henstock-Kurzweil integral, J. Math. Anal. Appl. 298 (2004) 677-692], in which we proved several Fubini-Tonelli type theorems for the Henstock-Kurzweil integral. Let f be Henstock-Kurzweil integrable on a compact interval . For a given compact interval , set

     

Schur-Ostrowski type theorems revisited

In this paper we extend Schur-Ostrowski theorem on Schur-convex functions from majorized vectors to separable ones. For this, we introduce a generalized Schur-Ostrowski?s condition. We apply the obtained result for cone orderings and group-induced cone orderings. Finally, we give some interpretations for absolutely weak majorization and for group majorization on the space of complex matrices.     

Limits of dual curves via foliations

We develop a method to compute limits of dual plane curves in Zeuthen families of any kind. More precisely, we compute the limit 0-cycle of the ramification scheme of a general linear system on the generic fiber, only assumed geometrically reduced, of a Zeuthen family of any kind.     

Simulation analysis of a novel fully depleted SOI MOSFET: Electrical and thermal performance improvement through trapezoidally doped channel and silicon–nitride buried insulator

In this paper, we present a novel nano-scale fully depleted silicon-on-insulator metal-oxide semiconductor field-effect transistor (SOI MOSFET). On-state current increment, leakage current decrement, and self-heating effect improvement are pursued in our proposed structure. The structure makes use of a buried insulator layer which consists of two materials to reduce the self-heating effect. On the other hand, to modify the sub- and super-threshold drain current, vertical trapezoidal doping distribution and additional side gate technique are employed. Our novel transistor is named dual material buried insulator vertical trapezoidal doping SOI MOSFET (DV-SOI MOSFET). We investigate the electrical performance and thermal behavior of the DV-SOI MOSFET using a commercial device simulator. We demonstrate that the proposed structure increases on–off current ratio by orders of magnitude and considerably improves self-heating effect in comparison with the conventional uniform doping fully depleted silicon-on-insulator MOSFET (C-SOI) which uses side gate for better electrical performance.     

Tandem imination/annulation of γ- and δ-ketoalkynes in the presence of ammonia/amines

In this account, we summarize the peculiar effects and advantages of gold, silver, and titanium dual role catalysis over the uncatalyzed tandem imination/annulation processes of γ- and δ-ketoalkynes.     

Lithium‐Ionen‐Technologie und was danach kommen könnte

The efficient and effective storage of electrical energy with batteries is key for sustainable energy supply and emission free mobility. At present, lithium ion technology is the “best” high energy density battery and the first choice for use in electric vehicle applications, whereas for stationary storage of electricity a large number of battery technologies, including lithium ion batteries (LIB) , are in competition to each other. Even though the LIB is one step ahead of other battery technologies at the moment, this race is still open. Several new battery chemistries, such as lithium/sulfur, metal/air, sodium, magnesium and dual ion battery technologies are discussed as replacement or complementary technologies to lithium ion. The hope for improved and better battery technologies of the future is still high.