Shallow Water Model On Cubed-Sphere By Multi-Moment Finite Volume Method

A global numerical model for shallow water flows on the cubed-sphere grid is proposed in this paper. The model is constructed by using the constrained interpolation profile/multi-moment finite volume method (CIP/MM FVM). Two kinds of moments, i.e. the point value (PV) and the volume-integrated average (VIA) are defined and independently updated in the present model by different numerical formulations. The Lax-Friedrichs upwind splitting is used to update the PV moment in terms of a derivative Riemann problem, and a finite volume formulation derived by integrating the governing equations over each mesh element is used to predict the VIA moment. The cubed-sphere grid is applied to get around the polar singularity and to obtain uniform grid spacing for a spherical geometry. Highly localized reconstruction in CIP/MM FVM is well suited for the cubed-sphere grid, especially in dealing with the discontinuity in the coordinates between different patches. The mass conservation is completely achieved over the whole globe. The numerical model has been verified by Williamson's standard test set for shallow water equation model on sphere. The results reveal that the present model is competitive to most existing ones. (C) 2008 Elsevier Inc. All rights reserved.

A Cip/Multi-Moment Finite Volume Method For Shallow Water Equations With Source Terms

A novel finite volume method has been presented to solve the shallow water equations. In addition to the volume-integrated average (VIA) for each mesh cell, the surface-integrated average (SIA) is also treated as the model variable and is independently predicted. The numerical reconstruction is conducted based on both the VIA and the SIA. Different approaches are used to update VIA and SIA separately. The SIA is updated by a semi-Lagrangian scheme in terms of the Riemann invariants of the shallow water equations, while the VIA is computed by a flux-based finite volume formulation and is thus exactly conserved. Numerical oscillation can be effectively avoided through the use of a non-oscillatory interpolation function. The numerical formulations for both SIA and VIA moments maintain exactly the balance between the fluxes and the source terms. 1D and 2D numerical formulations are validated with numerical experiments. Copyright (c) 2007 John Wiley & Sons, Ltd.

Hydrodynamic interaction between two vertical cylinders in water waves

The hydrodynamic interaction between two vertical cylinders in water waves is investigated based on the linearized potential flow theory. One of the two cylinders is fixed at the bottom while the other is articulated at the bottom and oscillates with small amplitudes in the direction of the incident wave. Both the diffracted wave and the radiation wave are studied in the present paper. A simple analytical expression for the velocity potential on the surface of each cylinder is obtained by means of Graf's addition theorem. The wave-excited forces and moments on the cylinders, the added masses and the radiation damping coefficients of the oscillating cylinder are all expressed explicitly in series form. The coefficients of the series are determined by solving algebraic equations. Several numerical examples are given to illustrate the effects of various parameters, such as the separation distance, the relative size of the cylinders, and the incident angle, on the first-order and steady second-order forces, the added masses and radiation-damping coefficients as well as the response of the oscillating cylinder.

First-passage failure of quasi-integrable Hamiltonian systems

The first-passage failure of quasi-integrable Hamiltonian si-stems (multidegree-of-freedom integrable Hamiltonian systems subject to light dampings and weakly random excitations) is investigated. The motion equations of such a system are first reduced to a set of averaged Ito stochastic differential equations by using the stochastic averaging method for quasi-integrable Hamiltonian systems. Then, a backward Kolmogorov equation governing the conditional reliability function and a set of generalized Pontryagin equations governing the conditional moments of first-passage time are established. Finally, the conditional reliability function, and the conditional probability density and moments of first-passage time are obtained by solving these equations with suitable initial and boundary conditions. Two examples are given to illustrate the proposed procedure and the results from digital simulation are obtained to verify the effectiveness of the procedure.

First-passage time of Duffing oscillator under combined harmonic and white-noise excitations

The first-passage time of Duffing oscillator under combined harmonic and white-noise excitations is studied. The equation of motion of the system is first reduced to a set of averaged Ito stochastic differential equations by using the stochastic averaging method. Then, a backward Kolmogorov equation governing the conditional reliability function and a set of generalized Pontryagin equations governing the conditional moments of first-passage time are established. Finally, the conditional reliability function, and the conditional probability density and moments of first-passage time are obtained by solving the backward Kolmogorov equation and generalized Pontryagin equations with suitable initial and boundary conditions. Numerical results for two resonant cases with several sets of parameter values are obtained and the analytical results are verified by using those from digital simulation.

“Y a medida que el trabajo de la muerte avanzaba, y el aire se volvía más calmado, los ruidos de la artillería pesada parecían sacudir los techos de las iglesias sobre las aterrorizadas gentes que se reunían en ellas” : la otra guerra de la independencia

La Guerra de la Independencia, según la denominación tradicional de la historiografía española o The Peninsular Wars, como se suele denominar ese acontecimiento por los historiadores de habla inglesa, se perfila como uno de esos momentos en que las relaciones hispano-británicas adquieren una intensidad especial. De esa colaboración, de ese acto de comunicación intensa entre combatientes de un mismo enemigo, surgen unas manifestaciones literarias y muchos más relatos y diarios escritos por oficiales e incluso simples soldados del ejército de su majestad que contienen todo un tesoro de anécdotas, descripciones, y, principalmente, valoraciones dignas de analizar y hasta de disfrutar. Se trata, en este caso, de una recopilación de vivencias muy personales, en la mayoría de las ocasiones muy dolorosas, como cabría esperar de una guerra, y que a menudo ofrecen juicios y opiniones de España y Portugal que revelan una actitud paternalista y crítica.

Algunas consideraciones en torno a la frontera, la tregua y libre determinación en la frontera castellano-granadina : s. XIII-XV

Resumen: El presente trabajo se refiere a algunos aspectos en relación a las características de la frontera castellano-granadina durante los siglos XIII al XV, profundizando en aquellos aspectos referidos a la coexistencia en ese espacio, especialmente, en lo que se refiere a la libre determinación religiosa. Luego de definir algunos aspectos en relación al valor de las treguas, ingresamos en la descripción de las características que comporta la libre determinación y como se manifiesta su dinámica a partir de su integración en los distintos tratados de treguas, verificando cuáles son los momentos en que éstas se hacen más evidentes e indagando en los posibles motivos de esta situación.

Confiança e democracia : aspectos de uma instável união estável

Na linguagem comum, confiança denota "segurança íntima de procedimento", "fé" e "esperança", de acordo com o Novo Dicionário Aurélio Buarque de Holanda. Na Ciência Política, a confiança aparece como facilitadora dos regimes democráticos, em uma literatura que, apesar das críticas, atravessa diversos momentos históricos, sendo aplicada, "democraticamente", em diversos países, há quase cinquenta anos. O artigo revisa essa literatura, por vezes incompreendida, para melhor entender aspectos da instável relação entre confiança e democracia: uma união estável muito próxima das bodas de ouro nessa bibliografia. Releva ainda a importância da mesma em democracias como o Brasil, que este ano comemora bodas de prata - 25 anos de regime democrático sem interrupção -, em um cenário de grandes assimetrias sociais e desafios inerentes ao processo de consolidação.

Gestão estratégica no Poder Legislativo: o caso da Assembleia Legislativa do Estado de Minas Gerais

O objetivo do artigo é registrar, criticamente, o processo de implantação da gestão estratégica na Assembleia Legislativa de Minas Gerais, com o propósito de revelar seusantecedentes e motivações; os momentos-chave; as facilidades e dificuldades; os resultados alcançados e os desafios futuros. A abordagem escolhida foi a histórico-descritiva e as ações de pesquisa envolveram revisão bibliográfica, pesquisa documental e entrevistas semiestruturadas. As conclusões apontam que a implantação da gestão estratégica na Assembleia Legislativa de Minas Gerais é um processo complexo e multifacetado, diante de suas características de órgão público, hierarquizado, com alta divisão de trabalho. O avanço da implantação é lento, devido aos fatores dificultadores apontados. O caso traz elementos relevantes para a pesquisa sobre gestão estratégica no setor público, seja por apresentar o processo de forma analítica e confrontada com a teoria, seja por se tratar especificamente de um órgão do Poder Legislativo

About generalized scaling for passive scalars in fully developed turbulence

In this paper we use a simple normal form approach of scale invariant fields to investigate scaling laws of passive scalars in turbulence. The coupling equations for velocity and passive scalar moments are scale covariant. Their solution shows that passive scalars in turbulence do not generically follow a general scaling observed for velocity field because of coupling effects.

Autorregresive conditional volatility, skewness and kurtosis

This paper proposes a GARCH-type model allowing for time-varying volatility, skewness and kurtosis. The model is estimated assuming a Gram-Charlier series expansion of the normal density function for the error term, which is easier to estimate than the non-central t distribution proposed by Harvey and Siddique (1999). Moreover, this approach accounts for time-varying skewness and kurtosis while the approach by Harvey and Siddique (1999) only accounts for nonnormal skewness. We apply this method to daily returns of a variety of stock indices and exchange rates. Our results indicate a significant presence of conditional skewness and kurtosis. It is also found that specifications allowing for time-varying skewness and kurtosis outperform specifications with constant third and fourth moments.

El modelo de sexualidad de la sociedad cristiana medieval: norma y transgresión

[ES]En estas páginas se analiza el modelo de sexualidad conyugal establecido por la Iglesia medieval para poder responder a la pregunta de qué era lícito y qué no en las relaciones sexuales. Así, entre otras cuestiones, se pasa revista a las posturas, a los momentos, las frecuencias, etc. Igualmente se exponen diversas estrategias arbitradas por la sociedad medieval para vivir en pareja y disfrutar del sexo al margen del matrimonio canónico, como la barraganía,el amancebamiento o el estupro.

Desenho organizacional e sua influência sobre o processo decisório de veto presidencial

Descreve o processo decisório de aposição e apreciação de vetos presidenciais, no período de 2011 a 2013, descrevendo os elementos organizacionais dos poderes Legislativo e Executivo, analisando o vínculo entre eles, e apontando momentos críticos no fluxo dos processos decisórios identificados. Justifica-se sua realização para contribuir na discussão sobre o processo decisório político. As conclusões apontam para a hipótese da prática de não decisão pelo Congresso, a impossibilidade de relacioná-la ao desenho organizacional, bem como a relevância do fator tempo.

DNS and LES of turbulent channel flow with hydrophobic surface

Hydrophobic surface benefits for drag reduction. Min and Kim[1] do the first Direct Numerical Simulation on drag reduction in turbulent channel flow. And Fukagata and Kasagi[2] make some theoretical analysis based on Dean[3]'s formula and some observations in the DNS results. Using their theory, they conclude that drag reduction is possible in large Reynolds number. Both Direct Numerical Simulation (DNS) and Large Eddy Simulation (LES) are performed in our research. How the LES behaving in the turbulent channel flow with hydrophobic surface is examined. Original Smagorinsky model and its Dynamical model are used in LES. The slip velocities predicted by LES using Dynamical model are in good agreement with DNS as shown in the Figure. Although the percentage of drag reduction predicted by LES shows some discrepancies, it is in the error limit for industrial flow. First order and second order moments of LES are also examined and compared with DNS's results. The first-order moments is calculated well by LES. But there are some discrepancies of second-order moments between LES and DNS. [GRAPHICS]

High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation

A new high-order finite volume method based on local reconstruction is presented in this paper. The method, so-called the multi-moment constrained finite volume (MCV) method, uses the point values defined within single cell at equally spaced points as the model variables (or unknowns). The time evolution equations used to update the unknowns are derived from a set of constraint conditions imposed on multi kinds of moments, i.e. the cell-averaged value and the point-wise value of the state variable and its derivatives. The finite volume constraint on the cell-average guarantees the numerical conservativeness of the method. Most constraint conditions are imposed on the cell boundaries, where the numerical flux and its derivatives are solved as general Riemann problems. A multi-moment constrained Lagrange interpolation reconstruction for the demanded order of accuracy is constructed over single cell and converts the evolution equations of the moments to those of the unknowns. The presented method provides a general framework to construct efficient schemes of high orders. The basic formulations for hyperbolic conservation laws in 1- and 2D structured grids are detailed with the numerical results of widely used benchmark tests. (C) 2009 Elsevier Inc. All rights reserved.