This chapter deals with numerical methods for mapping and data transfer in the finite element method (FEM) simulation of multiphysics/multiscale problems using either Lagrangian or arbitrary Lagrangian-Eulerian (ALE) formalisms. The need for efficient and accurate data transfer algorithms is a key issue in Integrated Computational Materials Engineering (ICME) and may play a central role in the numerical simulation of a manufacturing chain of processes. Data transfer algorithms are an important step of the numerical simulation of a manufacturing chain of processes, which usually involves various solution methods and computer codes for the modeling of all the processes of the chain. The efficiency and the accuracy of the data transfer method play a central role in these complex simulations. The chapter classifies this method into four main types: element interpolation methods, interpolation from clouds of points, projection using mortar elements, and projection using discontinuous reconstructions.
The recent requirements of Spanish regulations and directives, on their turn based on European directives, have led to the development of a new two dimensional open channel flow modelling tool. The tool, named Iber, combines a hydrodynamic module, a turbulence module and a sediment transport module, and is based in the finite volume method to solve the involved equations. The simulation code has been integrated in a pre-process and post-process interface based on GiD software, developed by CIMNE. The result is a flow and sediment modelling system for rivers and estuaries that uses advanced numerical schemes, robust and stable, which are especially suitable for discontinuous flows taking place in torrential and hydrologically irregular rivers. (C) 2012 CIMNE (Universitat Politecnica de Catalunya). Published by Elsevier Espana, S.L. All rights reserved.
Dealing with large simulation is a growing challenge. Ideally for the wellparallelized software prepared for high performance, the problem solving capability depends on the available hardware resources. But in practice there are several technical details which reduce the scalability of the system and prevent the effective use of such a software for large problems. In this work we describe solutions implemented in order to obtain a scalable system to solve and visualize large scale problems. The present work is based on Kratos MutliPhysics [1] framework in combination with GiD [2] pre and post processor. The applied techniques are verified by CFD simulation and visualization of a wind tunnel problem with more than 100 millions of elements in our in-hose cluster in CIMNE.
The works presented in this document are developed under framework of the collaboration agreements signed between the Centro de Estudios Hidrograficos (CEDEX), FLUMEN research group (UPC), GEAMA (UdC) and CIMNE. The result of this agreement is a numerical simulation cade that put together the experience o/ all the partners in the different aspects of river dynamics. The new tool called lBER, is aimed to the hydrodynamic and morphological simulation of rivers flow. Nowadays IBER includes a hydrodynamic module that allows 2D modellization of rivers, a turbulence module and a sediments transport module that considers both bedload and suspended salid discharge. IBER offers, as well, a user friendly interface that takes profit of the capabilities of GiD, both in pre and post process.
In this paper a minimization algorithm of the mesh distortion metric proposed by Oddy is presented. It is valid for meshes composed by quadrilateral or hexahedral elements. Although it has been extensively used, the original definition has several limitations that preclude its use in a minimization procedure. For instance, it is only valid for convex quadrilaterals or hexahedra, and it gives an infinite distortion value for a degenerated quadrilateral with triangular shape. In order to overcome these drawbacks, in this work we deduce a geometrical interpretation of the original distortion metric. Based on this interpretation, we first develop a new alternative to compute the distortion metric; and second, we extend the original distortion metric to non-convex quadrilaterals and hexahedra. Then; a minimization algorithm of the improved distortion metric based on a Newton-Raphson method is developed. It is important to note that the original and the improved definition of the distortion metric coincide around the optimal solution. Finally, some numerical examples are presented to assess the robustness of this algorithm.
En este articulo se presenta un algoritmo para la minimizacion de la medida de la distorsion definida por Oddy para una malla formada por cuadrilateros o hexaedros. Aunque dicha medida ha sido ampliamente utilizada, su definicion original presenta varias propiedades que limitan su utilizacion en un algoritmo de minimizacion. Por ejemplo, solo es valida para cuadrilateros o hexaedros convexos y proporciona un valor infinito de la distorsion en un cuadrilatero en el que tres vertices estan alineados. Con el fin de superar estas limitaciones, en este trabajo primero se deduce una interpretacion geometrica de la definicion original de la medida de la distorsion. Ademas se demuestra que dicha interpretacion es valida tanto para cuadrilateros como para hexaedros. Seguidamente y basandose en dicha interpretacion, se desarrolla una medida de la distorsion para cuadrilateros y hexaedros no convexos. Finalmente, se presenta un algoritmo para la minimizacion de la nueva medida de la distorsion de la malla basado en el metodo de Newton-Raphson. Es importante resaltar que ambas definiciones coinciden cerca de la solucion optima. Asi mismo, se presentan varios ejemplos que confirman la eficiencia del algoritmo desarrollado.