Asymptotic scaling in the two-dimensional O(3) Nonlinear sigma model: a Monte Carlo study on parallel computers

We investigate the 2d O(3) model with the standard action by Monte Carlo simulation at couplings β up to 2.05. We measure the energy density, mass gap and susceptibility of the model, and gather high statistics on lattices of size L ≤ 1024 using the Floating Point Systems T-series vector hypercube and the Thinking Machines Corp.'s Connection Machine 2. Asymptotic scaling does not appear to set in for this action, even at β = 2.10, where the correlation length is 420. We observe a 20% difference between our estimate m/Λ^─_(Ms) = 3.52(6) at this β and the recent exact analytical result . We use the overrelaxation algorithm interleaved with Metropolis updates and show that decorrelation time scales with the correlation length and the number of overrelaxation steps per sweep. We determine its effective dynamical critical exponent to be z' = 1.079(10); thus critical slowing down is reduced significantly for this local algorithm that is vectorizable and parallelizable.

We also use the cluster Monte Carlo algorithms, which are non-local Monte Carlo update schemes which can greatly increase the efficiency of computer simulations of spin models. The major computational task in these algorithms is connected component labeling, to identify clusters of connected sites on a lattice. We have devised some new SIMD component labeling algorithms, and implemented them on the Connection Machine. We investigate their performance when applied to the cluster update of the two dimensional Ising spin model.

Finally we use a Monte Carlo Renormalization Group method to directly measure the couplings of block Hamiltonians at different blocking levels. For the usual averaging block transformation we confirm the renormalized trajectory (RT) observed by Okawa. For another improved probabilistic block transformation we find the RT, showing that it is much closer to the Standard Action. We then use this block transformation to obtain the discrete β-function of the model which we compare to the perturbative result. We do not see convergence, except when using a rescaled coupling β_E to effectively resum the series. For the latter case we see agreement for m/ Λ^─_(Ms) at , β = 2.14, 2.26, 2.38 and 2.50. To three loops m/Λ^─_(Ms) = 3.047(35) at β = 2.50, which is very close to the exact value m/ Λ^─_(Ms) = 2.943. Our last point at β = 2.62 disagrees with this estimate however.

Diseño de líneas mixtas en un entorno Lean. Aplicación a un caso mediante Excel

[ES]Este trabajo tiene como objetivo analizar las soluciones existentes para el diseño de las líneas mixtas. Se trata de un tipo de líneas bastante complejas de diseñar y que por lo general han sido poco estudiadas por la sociedad académica, a pesar de las numerosas ventajas que ofrece en comparación a las líneas simples, mucho más investigadas. Para facilitar la comprensión de su diseño, y antes de su estudio, se realiza un análisis de las características de las líneas mixtas. Posteriormente se introduce una metodología desarrollada por Lluis Cuatrecasas (Presidente del Instituto Lean Management de España), que permite salvar la brecha que existe a su juicio entre los estudios sobre los diseños de este tipo de líneas y su aplicación a la empresa. Finalmente, se ilustra dicha metodología mediante un caso práctico y se evalúan sus fortalezas y debilidades.

Identificação da fase sigma em uma junta soldada pelo processo TIG manual autógeno de um aço hiperduplex SAF 2707HD (UNS S32707) por difração de raios-x.

O aço inoxidável hiperduplex possui alta resistência a corrosão por pite em ambientes contendo cloretos, quando comparado a outros aços inoxidáveis comercialmente conhecidos. Possui boas propriedades mecânicas, com limite de escoamento superior a 700MPa e limite de resistência a tração em torno de 1000MPa. Essas propriedades o tornam muito atrativos para aplicações em ambientes contendo cloretos, e por isso tem tido destaque na indústria de óleo e gás, refinarias, plataformas offshore, etc. A liga hiperduplex é composta por uma estrutura bifásica, contendo proporções aproximadamente iguais de ferrita e austenita. Esse material possui boa soldabilidade, mas por ser termodinamicamente metaestável, em altas temperaturas pode ocorrer a precipitação de fases intermetálicas não desejáveis, o que resulta em perda de propriedades mecânicas e diminuição da resistência a corrosão. A fase sigma tem sido fortemente estudada, pois é comum sua precipitação nos aços inoxidáveis da família duplex durante o procedimento de soldagem se este não for muito bem controlado. A fase sigma precipita preferencialmente na fase ferrítica, devido a maior concentração de Cr e Mo, que são os elementos formadores da fase. A resistência a corrosão é reduzida e as propriedades mecânicas do material são alteradas o tornando frágil devido a presença da fase sigma. É formada entre 600C e 1000C e possui uma estrutura tetragonal complexa. O objetivo do trabalho foi identificar a possível presença da fase sigma na junta soldada do aço inoxidável hiperduplex SAF 2707 HD (UNS S32707) pelo processo TIG autógeno manual através da difração de raios-x. Nessa pesquisa, foram analisadas uma junta soldada do material pelo processo TIG autógeno manual com arco pulsado. Complementando o estudo foram analisadas seis amostras do aço inoxidável superduplex, sendo que cinco amostras sofreram tratamento térmico para a proposital formação da fase sigma. O refinamento do resultado da difração das amostras foi feito utilizando o método de Rietveld no software Topas Academic versão 4.1. O resultado da amostra soldada de hiperduplex apresentou as fases austenita, ferrita e alguns prováveis óxidos. Os resultados das amostras de superduplex tratadas termicamente apresentaram a fase sigma, conforme esperado na pesquisa, e as fases austenita e ferrita.

Instability in lean premixed combustors

A generalized acoustic equation is used to identify the mechanisms driving combustion instability. The relationship between the unsteady rate of heat release and the flow is found to influence significantly the frequency of oscillation. A kinematic flame model is reviewed and used to describe the unsteady combustion in a premixed ducted flame and in a typical lean premixed industrial gas turbine. Comparison is made between theory and experiment. | A generalized acoustic equation is used to identify the mechanisms driving combustion instability. The relationship between the unsteady rate of heat release and the flow is found to influence significantly the frequency of oscillation. A kinematic flame model is reviewed and used to describe the unsteady combustion in a premixed ducted flame and in a typical lean premixed industrial gas turbine. Comparison is made between theory and experiment.

Model based learning of sigma points in unscented Kalman filtering

The unscented Kalman filter (UKF) is a widely used method in control and time series applications. The UKF suffers from arbitrary parameters necessary for a step known as sigma point placement, causing it to perform poorly in nonlinear problems. We show how to treat sigma point placement in a UKF as a learning problem in a model based view. We demonstrate that learning to place the sigma points correctly from data can make sigma point collapse much less likely. Learning can result in a significant increase in predictive performance over default settings of the parameters in the UKF and other filters designed to avoid the problems of the UKF, such as the GP-ADF. At the same time, we maintain a lower computational complexity than the other methods. We call our method UKF-L. ©2010 IEEE.

The nonlinear heat release response of stratified lean-premixed flames to acoustic velocity oscillations

This paper analyzes the forced response of swirl-stabilized lean-premixed flames to high-amplitude acoustic forcing in a laboratory-scale stratified burner operated with CH4 and air at atmospheric pressure. The double-swirler, double-channel annular burner was specially designed to generate high-amplitude acoustic velocity oscillations and a radial equivalence ratio gradient at the inlet of the combustion chamber. Temporal oscillations of equivalence ratio along the axial direction are dissipated over a long distance, and therefore the effects of time-varying fuel/air ratio on the response are not considered in the present investigation. Simultaneous measurements of inlet velocity and heat release rate oscillations were made using a constant temperature anemometer and photomultiplier tubes with narrow-band OH*/CH* interference filters. Time-averaged and phase-synchronized CH* chemiluminescence intensities were measured using an intensified CCD camera. The measurements show that flame stabilization mechanisms vary depending on equivalence ratio gradients for a constant global equivalence ratio (φg=0.60). Under uniformly premixed conditions, an enveloped M-shaped flame is observed. In contrast, under stratified conditions, a dihedral V-flame and a toroidal detached flame develop in the outer stream and inner stream fuel enrichment cases, respectively. The modification of the stabilization mechanism has a significant impact on the nonlinear response of stratified flames to high-amplitude acoustic forcing (u'/U∼0.45 and f=60, 160Hz). Outer stream enrichment tends to improve the flame's stiffness with respect to incident acoustic/vortical disturbances, whereas inner stream stratification tends to enhance the nonlinear flame dynamics, as manifested by the complex interaction between the swirl flame and large-scale coherent vortices with different length scales and shedding points. It was found that the behavior of the measured flame describing functions (FDF), which depend on radial fuel stratification, are well correlated with previous measurements of the intensity of self-excited combustion instabilities in the stratified swirl burner. The results presented in this paper provide insight into the impact of nonuniform reactant stoichiometry on combustion instabilities, its effect on flame location and the interaction with unsteady flow structures. © 2011 The Combustion Institute.

Beyond theory: An examination of lean new product introduction practices in the UK

Interest is growing around the application of lean techniques to new product introduction (NPI). Although a relatively emergent topic compared with the application of 'lean' within the factory, since 2000 there has been an exponential rise in the literature on this subject. However, much of this work focuses on describing and extolling the virtues of the 'Toyota approach' to design. Therefore, by way of a stock take for the UK, the present authors' research has set out to understand how well lean product design practices have been adopted by leading manufacturers. This has been achieved by carrying out in-depth case studies with three carefully selected manufacturers of complex engineered products. This paper describes these studies, the detailed results and subsequent findings, and concludes that both the awareness and adoption of practices is generally embryonic and far removed from the theory advocated in the literature. © IMechE 2007.