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Architecture of iterative solvers for hp-adaptive finite element codes

computer Assisted methods in Engineering and Science 2013年第1期20卷 43-54页

作者： Plaszewski, Przemyslaw Banaś, Krzysztof Paszyński, Maciej Department of Applied Computer Science and Modelling AGH University of Science and Technology Mickiewicza 30 30-059 Kraków Poland Institute of Computer Science Cracow University of Technology Warszawska 24 31-155 Kraków Poland Department of Computer Science AGH University of Science and Technology Mickiewicza 30 30-059 Kraków Poland

We present a layered architecture for iterative solvers of linear equations, designed to allow for easy integration with existing hp-adaptive FEM codes. We discuss interfaces between a solver and an external FEM code and requirements for the FEM code that must be met in order to work with the solver. Our solution is suited to work effectively with stationary as well as time-dependent problems. In this article, we provide an overview of the layered solver's structure and modules of each layer. In subsequent articles, we will present specific implementations of particular layers. Copyright © 2013 by Institute of Fundamental Technological Research, Polish Academy of Sciences.

关键词： Codes (symbols)

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Agent based system for assistance at industrial process control with experience modeling

Agent based system for assistance at industrial process cont...

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2013 Federated Conference on computer Science and Information Systems, FedCSIS 2013

作者： Rojek, Gabriel AGH University of Science and Technology Faculty of Metals Engineering and Industrial Computer Science Department of Applied Computer Science and Modelling al. A. Mickiewicza 30 30-059 Kraków Poland

ISBN: (纸本)9781467344715

The problem of automatic or computer aided control is still unsolved in many areas of real production processes. In such cases the only one solution is to employ human operator that uses his experience and knowledge in order to manually control parameters of the process. Such approach has many disadvantages relating to characteristics of human work what is the main ground for presented here research. As the solution a methodology is proposed, which follows the decision processes of human operator using his experience. In order to predict capabilities of proposed methodology a test system is designed and implemented with the use of agent technology. © 2013 Polish Information Processing Society.

关键词： Information use

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Vectorized OpenCL implementation of numerical integration for higher order finite elements

Vectorized OpenCL implementation of numerical integration fo...

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作者： Kruzel, Filip Banaś, Krzysztof Institute of Computer Science Cracow University of Technology Warszawska 24 31-155 Kraków Poland Department of Applied Computer Science and Modelling AGH University of Science and Technology Mickiewicza 30 30-059 Kraków Poland

In our work we analyze computational aspects of the problem of numerical integration in finite element calculations and consider an OpenCL implementation of related algorithms for processors with wide vector registers. As a platform for testing the implementation we choose the PowerXCell processor, being an example of the Cell Broadband Engine (CellBE) architecture. Although the processor is considered old for today's standards (its design dates back to year 2001), we investigate its performance due to two features that it shares with recent Xeon Phi family of co-processors: wide vector units and relatively slow connection of computing cores with main global memory. The performed analysis of parallelization options can also be used for designing numerical integration algorithms for other processors with vector registers, such as contemporary x86 microprocessors. We consider higher order finite element approximations and implement the standard algorithm of numerical integration for prismatic elements. Original contributions of the paper include the analysis of data movement and vector operations performed during code execution. Several versions of the implementation are developed and tested in practice. © 2013 Elsevier Ltd. All rights reserved.

关键词： Vectors

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Agent Based System for Assistance at Industrial Process Control with Experience Modeling

Agent Based System for Assistance at Industrial Process Cont...

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Federated Conference on computer Science and Information Systems

作者： Gabriel Rojek AGH University of Science and Technology Faculty of Metals Engineering and Industrial Computer Science Department of Applied Computer Science and Modelling al. A. Mickiewicza 30 30-059 Kraków Poland

ISBN: (纸本)9781467344715

关键词： Agent Based System Industrial Process Control Experience Modeling

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Numerical modelling of phase transformation in DP steel after hot rolling and laminar cooling

Numerical modelling of phase transformation in DP steel afte...

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6th European Congress on Computational methods in applied Sciences and Engineering, ECCOMAS 2012

作者： Pernach, M. Bzowski, K. Pietrzyk, M. AGH - University of Science and Technology Department of Applied Computer Science and Modelling al. Mickiewicza 30 30-059 Kraków Poland

ISBN: (纸本)9783950353709

Continuous development of the automotive industry is associated with the search for construction materials that combine high strength with good plastic properties and which allow improvement of the process technology. DP steels meet the high requirements for materials currently used in the automotive industry. Production of DP steels is a very complex process requiring precise control of technological parameters during thermo-mechanical treatment. Design of these processes can be significantly improved by the numerical models of phase transformations occurring in the DP steels. The main aim of this work is multiscale modelling of the austenite decomposition into ferrite, bainite and martensite in processes of laminar cooling. Partial differential diffusion equation of carbon diffusion is solved with a moving boundary (Stefan problem). The solution was performed in the real microstructure of austenite, which was obtained using the electron microscope image and digital material representation. The developed model based on FEM solution of a diffusion equation allows to determine phase volume fractions, grain size, carbon segregation before the front of transformation in fluctuating temperature conditions. Results of numerical simulations were used for development of the relationship between microstructure and mechanical properties of DP steel strips.

关键词： Diffusion

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The concept of a rule-based expert system application in multiscale modelling

The concept of a rule-based expert system application in mul...

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14th International Conference on Metal Forming, METAL FORMING 2012

作者： Maciol, Piotr Jedrusik, Stanislaw Maciol, Andrzej AGH-University of Science and Technology Department of Applied Computer Science and Modelling al. Mickiewicza 30 30-059 Kraków Poland AGH-University of Science and Technology . ul. Gramatyka 10 30-067 Kraków Poland

ISBN: (纸本)9783514007970

Multiscale modelling is a very promising method and it has a lot of advantages. However, it needs a large computational resources. In this paper, application of Knowledge Based System (KBS) for optimization of multiscale model configuration is proposed. Short review of KBS application for numerical modelling is included. Business Rules Engines concept is described, as well as possibility of its use to optimize multiscale models. Dividing of optimization process into two phases-static (during model design) and dynamic (during executions) is shown. Exemplary knowledge for thixoforming modelling is presented. Examples of raw knowledge, as well as rules in Rebit system are included. It is shown, that applications of Rebit system for multiscale model optimization is possible. © 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.

关键词： Expert systems

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Knowledge based system for runtime controlling of multiscale model of ion-exchange solvent extraction

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AIP Conference Proceedings 2012年第1期1479卷 125-128页

作者： Piotr Macioł Leszek Gotfryd Andrzej Macioł AGH University of Science and Technology Faculty of Metals Engineering and Industrial Computer Science Department of Applied Computer Science and Modelling al. A. Mickiewicza 3030-059 Krakow Poland and Graz University of Technology Institute for Austria Institute of Non-Ferrous Metals Department of Hydrometallurgy ul. Sowińskiego 544-100 Gliwice Poland AGH University of Science and Technology Faculty of Management Department of Applied Computer Science ul. Gramatyka 10 30-067 Krakow Poland

The hereby paper concerns the issue of solution of runtime controlling of multiscale model of ion-exchange solvent extraction. It is based on cooperation of a framework applying Agile Multiscale Modeling Methodology (AM3), and the REBIT Knowledge Based System. Ion-exchange solvent extraction has been shortly introduced. Design assumptions of AM3 and theoretical basis of REBIT have been described. Designed workflows and rules for simple laminar/ turbulent flow and extraction processes have been shown.

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Numerical model of warm drawing of the biocompatible Mg alloys accounting for ductility of the material

Numerical model of warm drawing of the biocompatible Mg allo...

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11th International Conference on Computational Plasticity, COMPLAS XI

作者： Milenin, Andrzej Kustra, Piotr AGH University of Science and Technology Department of Applied Computer Science and Modelling Al. Mickiewicza 30 30059 Krakow Poland

ISBN: (纸本)9788489925731

Due to high compatibility and solubility in human organism, special magnesium alloys are applied in bioengineering. Production of surgical threads to integration of tissue can be application of these types of alloys. This sort of application calls for fine wires with diameters from 0.1 to 0.9 mm. The warm drawing process in heated dies was proposed to increase the workability of the Mg alloys. The purpose of this paper is development and experimental validation of a mathematical model of a warm drawing process of wires made of MgCa0.8, Ax30 and ZEK100 alloys and determination of optimal parameters with the objective function defined as maximum of workability. The first part of investigation is focused on development of a numerical model, which is based on FE solution. The second part of paper is focused on experimental upsetting and tensile tests. Basing on these tests the flow stress and fracture models were obtained. The materials models are implemented into the Authors' FE code, which is dedicated to modelling of drawing processes. For experimental verification of model the thermo visual analysis of wire drawing and tests of mechanical properties of wire were performed. With help of model the dependence between technological parameters of drawing and ductility function was obtained. The technical problem defined as determination of optimal drawing velocity, which is helpful to obtain the temperature in deformation zone taking into account fracture criterion, was solved. The optimum drawing schedule for Mg alloys was proposed.

关键词： Magnesium alloys

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Application of Heterogeneous Computing to CAFE Simulations of Production Processes

Application of Heterogeneous Computing to CAFE Simulations o...

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IEEE International Conference on E-Science Workshops

作者： Rauch Lukasz Bzowski Krzysztof Rodzaj Artur Department of Applied Computer Science and Modelling AGH University of Science and Technology Krakow Poland

The multiscale modeling methods are one of the most investigated subjects in literature in recent years. Their wide range of applications covers many fields of science, including innovative materials and production engineering. This paper presents algorithms of multiscale modeling implemented on heterogeneous architectures, which are applied to simulate metal forming production processes. The influence of the different computing devices on obtained results as well as efficiency of proposed algorithms are discussed within this work. The computations are verified using a process of ribbed rod heat treatment.

关键词： Materials Finite element methods Computational modeling computer architecture Conductivity Microstructure Hardware

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Higher order FEM numerical integration on GPUs with OpenCL

Higher order FEM numerical integration on GPUs with OpenCL

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作者： Plaszewski, Przemyslaw Banás, Krzysztof Maciol, Pawel Department of Applied Computer Science and Modelling AGH University of Science and Technology al. Mickiewicza 30 30-059 Kraków Poland Insitute of Computer Modelling Cracow University of Technology ul. Warszawska 24 31-155 Kraków Poland

Paper presents results obtained when porting FEM 2D linear elastostatic local stiffness matrix calculations to Tesla architecture with OpenCL framework. Comparison with native NVIDIA CUDA implementations has been prov... 详细信息

ISBN: (纸本)9788360810279

关键词： Stiffness matrix

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