Comparison of the meccano method with standard mesh generation techniques

[EN]The meccano method is a novel and promising mesh generation technique for simultaneously creating adaptive tetrahedral meshes and volume parameterizations of a complex solid. The method combines several former procedures: a mapping from the meccano boundary to the solid surface, a 3-D local refinement algorithm and a simultaneous mesh untangling and smoothing. In this paper we present the main advantages of our method against other standard mesh generation techniques. We show that our method constructs meshes that can be locally refined by using the Kossaczky bisection rule and maintaining a high mesh quality. Finally, we generate volume T-mesh for isogeometric analysis, based on the volume parameterization obtained by the method…

A generalization of the optimal diagonal approximate inverse preconditioner

[EN ]The classical optimal (in the Frobenius sense) diagonal preconditioner for large sparse linear systems Ax = b is generalized and improved. The new proposed approximate inverse preconditioner N is based on the minimization of the Frobenius norm of the residual matrix AM − I, where M runs over a certain linear subspace of n × n real matrices, defined by a prescribed sparsity pattern. The number of nonzero entries of the n×n preconditioning matrix N is less than or equal to 2n, and n of them are selected as the optimal positions in each of the n columns of matrix N. All theoretical results are justified in detail…

A new method for T-spline parameterization of complex 2D geometries

[EN]We present a new strategy, based on the idea of the meccano method and a novel T-mesh optimization procedure, to construct a T-spline parameterization of 2D geometries for the application of isogeometric analysis. The proposed method only demands a boundary representation of the geometry as input data. The algorithm obtains, as a result, high quality parametric transformation between 2D objects and the parametric domain, the unit square. First, we define a parametric mapping between the input boundary of the object and the boundary of the parametric domain. Then, we build a T-mesh adapted to the geometric singularities of the domain in order to preserve the features of the object boundary with a desired tolerance...

The meccano method for isogeometric solid modeling

[EN]We present a new method to construct a trivariate T-spline representation of complex solids for the application of isogeometric analysis. The proposed technique only demands the surface of the solid as input data. The key of this method lies in obtaining a volumetric parameterization between the solid and a simple parametric domain. To do that, an adaptive tetrahedral mesh of the parametric domain is isomorphically transformed onto the solid by applying the meccano method. The control points of the trivariate T-spline are calculated by imposing the interpolation conditions on points situated both on the inner and on the surface of the solid...

The meccano method for automatic 3-d triangulation and volume parametrization of complex solids

[EN]In this paper we review the novel meccano method. We summarize the main stages (subdivision, mapping, optimization) of this automatic tetrahedral mesh generation technique and we concentrate the study to complex genus-zero solids. In this case, our procedure only requires a surface triangulation of the solid. A crucial consequence of our method is the volume parametrization of the solid to a cube. We construct volume T-meshes for isogeometric analysis by using this result. The efficiency of the proposed technique is shown with several examples. A comparison between the meccano method and standard mesh generation techniques is introduced.-1…

InvenCenty: software para la enseñanza del diseño aerodinámico de una familia de ventiladores centrífugos de alta eficiencia

[ES]El método de diseño aerodinámico de ventiladores centrífugos, utilizando la velocidad específica de rotación y las ecuaciones de las curvas características de una familia de ventiladores centrífugos de alabes rectos atrasados, permite implementar un programa informático donde la interface de usuario admite ingresar valores de caudal y presión total, para determinar la potencia del ventilador, velocidad del rotor, eficiencia y los parámetros geométricos, diseñándolo como una turbomáquina hidráulica. Las curvas de rendimiento que se emplearon fueron obtenidas de ensayos en laboratorios rusos, por analistas especializados, que muestran principalmente las relaciones existentes entre el caudal y la velocidad específica, presión total, potencia y eficiencia. Se seleccionó un ventilador centrífugo de doce alabes rectos atrasados, por su mayor porcentaje de eficiencia y construcción económica pudiendo este ser replicado a otras escalas mediante la ley de semejanza geométrica. El algoritmo matemático puede ser utilizado para el diseño de otras familias de ventiladores centrífugos.

La adicción al móvil como variable mediadora entre la tríada oscura y el ciberacoso entre estudiantes universitarios

[ES]El presente trabajo pretende estudiar el efecto mediador que tiene la adicción a la utilización del móvil entre la tríada oscura, que consiste en la confluencia en un mismo individuo de psicopatía, maquiavelismo y narcicismo, y el acoso a través del móvil a compañeros estudiantes en la universidad. En la investigación se aplican ecuaciones estructurales basadas en la varianza, Partial Least Squares (PLS), a una muestra de 402 estudiantes de último curso de los grados en Derecho y Administración y Dirección de Empresas de la Universidad de la de Las Palmas de Gran Canaria. Como principal resultado cabe mencionar el que soporta la hipótesis de mediación de la adicción al móvil.

Advances of the meccano method for isogeometric analysis of irregular planar domains

[EN]We present advances of the meccano method for T-spline modelling and analysis of complex geometries. We consider a planar domain composed by several irregular sub-domains. These sub-regions are defined by their boundaries and can represent different materials. The bivariate T-spline representation of the whole physical domain is constructed from a square. In this procedure, a T-mesh optimization method is crucial. We show results of an elliptic problem by using a quadtree local T-mesh refinement technique…

Some advances in open problems of isogeometric analysis

[EN]Isogeometric analysis (IGA) has arisen as an attempt to unify the fields of CAD and classical finite element methods. The main idea of IGA consists in using for analysis the same functions (splines) that are used in CAD representation of the geometry. The main advantage with respect to the traditional finite element method is a higher smoothness of the numerical solution and more accurate representation of the geometry. IGA seems to be a promising tool with wide range of applications in engineering. However, this relatively new technique have some open problems that require a solution. In this work we present our results and contributions to this issue…

Valor nutritivo de especies forrajeras endémicas y/o adaptadas a las Islas Canarias: situación de la producción de forrajes para alimentación del ganado en Canarias

Programa de doctorado en Sanidad Animal y Seguridad Alimentaria

Aportaciones al método de la celda en el diseño y análisis de un modelo de máquina rotativa trifásica de inducción magnética

Programa de doctorado: Tecnología industrial