There is a substantial body of ongoing research improving the Blade Element Momentum (BEM) theory and applying it to the optimization of wind turbine rotors. Both of these developments challenge the suitability of fixed point iteration schemes being applied to advanced BEM models. This article explores the mathematical behavior of the BEM equations, with special attention to the application of ...

We present an optimization-based synthesis algorithm for the design of diffractive optical elements (DOE’s) that are finite in extent, have subwavelength features, and are aperiodic. The subwavelength nature of the DOE’s precludes the use of scalar diffraction theory, and their finite extent and aperiodic nature prevents the use of coupled-wave analysis. To overcome these limitations, we apply ...

An advanced boundary element method (BEM) with thin-body capabilities was developed recently for the study of interphases in ®ber-reinforced composite materials (Y.J. Liu, N. Xu and J.F. Luo, Modeling of interphases in ®berreinforced composites under transverse loading using the boundary element method, ASME J. Appl. Mech. 67 (2000) 41±49). In this BEM approach, the interphases are modeled as t...

Given any structure, we seek to find the solution of mechanical problem as precisely and efficiently as possible. Within this condition, the BEM is robust and promising development, standing out in the analysis of cases with occurrence of large stress gradients, as in problems of fracture mechanics. Moreover, in BEM the modeling of infinite means is performed naturally, without the use of appro...

Exotic Becomes Erotic: Explaining the Enigma of Sexual Orientation Daryl J. Bem Cornell University In this address, I outline my “Exotic-Becomes-Erotic" theory of sexual orientation (Bem, 1996) , which provides the same basic account for both opposite-sex and same-sex erotic desire—and for both men and women. It proposes that biological variables do not code for sexual orientation per se but fo...

wind power has been widely considered in recent years as an available and a clean renewable energy source. the cost of wind energy production is currently the main issue, and increasing the size of wind turbines can reduce wind energy production costs. hence, megawatt wind turbines are being rapidly developed in recent years. in this paper, an aerodynamic analysis of the nrel 5mw turbine is car...

We give an introduction to Tropical Geometry and prove some results in Tropical Intersection Theory. The first part of this paper is an introduction to tropical geometry aimed at researchers in Algebraic Geometry from the point of view of degenerations of varieties using projective not-necessarily-normal toric varieties. The second part is a foundational account of tropical intersection theory ...

In the context of substrate resistance modeling a combined BEM/FEM method is compared to a 3DFEM method. The combined BEM/FEM method is applicable in substrate modeling problems which involve layout-dependent doping patterns for which a standalone BEM would not be accurate enough and for which a standalone FEM would be too slow. The method captures local couplings within the doping pattern with...

Bright-field high-speed cinemicrography was employed to record the swimming of six unipolar cells of Spirillum volutans. A complete set of geometrical parameters for each of these six cells, which are of typical but varying dimensions, was measured experimentally. For each cell, the mean swimming linear and angular speeds were measured for a period representing an exact number of flagellar cycl...

In this paper, the Boundary Element Method (BEM) for 3-D elastostatic problems is studied for the analysis of shell or shell-like structures. It is shown that the conventional boundary integral equation (CBIE) for 3-D elasticity does not degenerate when applied to shell-like structures, contrary to the case when it is applied to crack-like problems where it does degenerate due to the closeness ...