Lienhart, G., Gembris, D., Männer, R.
We have studied how the solution of partial differential equations by means of finite element methods could be accelerated using Field Programmable Gate Arrays (FPGAs). First, we discuss in general the capabilities of current FPGA technology for floating-point implementations of number crunching. Based on practical results for basic floating-point operators performance limits are outlined. ...
Institut für Geoökologie der Technischen Universität, Braunschweig
Kontinuierliche populationsdynamische Modelle lassen sich durch Systeme von gewöhnlichen Differentialgleichungen darstellen. Die räumliche Ausbreitung wird durch parabolische partielle Differentialgleichungen beschrieben, im einfachsten Fall durch eine Konvektions-Dispersionsgleichung. Für gekoppelte Populationen erhält man damit ein System von Reaktions-Diffusionsgleichungen mit erheblichen ...
V. Thümmler1, and A. Weddemann2
1Department of Mathematics, Bielefeld University, Bielefeld, Germany
2Department of Physics, Bielefeld University, Bielefeld, Germany
Partial differential equations which exhibit solutions that are spatial temporal patterns are often found in biological and chemical systems, e.g. when describing pattern formation in reaction-diffusion systems.Special classes of such patterns are relative equilibria and relative periodic orbits, which are solutions that in an appropriately co-moving frame of reference are stationary and ...
Development of an Interlinked Curriculum Component Module for Microchemical Process Systems Components Using COMSOL Multiphysics
A. Mokal, and P. Mills
Department of Chemical and Natural Gas Engineering, Texas A&M University, Kingsville, TX, USA
COMSOL Multiphysics provides a powerful numerical platform where various models for microchemical process technology components can be readily created for both education and research. This modeling tool allows chemical engineering students to focus on understanding the effects of various microchemical system component design and operational parameters versus coding and debugging of the numerical ...
C. Belavý, and G. Hulkó, and K. Ondrejkovic, and D. Šišmišová
Slovak University of Technology in Bratislava, Bratislava, Slovakia
This paper presents a finite element method based modeling and design of control for distributed parameter systems. First, models of distributed parameter systems in the form of lumped-input/distributed-output systems and structure of control loop are introduced. Next, modeling of temperature fields of the casting die as distributed parameter systems in preheating process is performed in COMSOL ...
J. van Schijndel, S. Uittenbosch, and T. Thomassen
Eindhoven University of Technology
The paper presents the development of a method that determines building material and surface properties using relative simple and low-budget experiments, The method comprehends an optimal design of an experimental set up for smart determination of heat and moisture properties using both normal and inverse modeling techniques. It is concluded that the suggested methodology of the inverse ...
A.Weddemann, D. Kappe, and A. Hütten
Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA, USA
Department of Physics, Thin Films and Physics of Nanostructures, Bielefeld University, Bielefeld, Germany
In principal, the calculation of the magnetic state inside a magnetic object requires the evaluation of the field in the entire unbounded space. With finite element methods restricted to finite domains, commonly auxiliary domains are employed which result in a non-physical cut-off. Not only are these additional domains result in an increased number of degrees of freedom which are strictly ...
Shape Optimization of Electric and Magnetic System using Level Set Technique and Sensitivity Analysis
Y. Sun Kim, A. Weddemann, J. Jadidian, S. Khushrushahi, and M. Zahn
Dept. of Electrical Engineering and Computer Science
The classical optimization method has been applied to many design problems for electromagnetic systems. One of its major difficulties is related to meshing problems arising from shape modifications. In order to circumvent these kinds of technical difficulties with moving mesh problems, several researches have tried to formulate shape optimization with fixed mesh analyses based on fixed grid ...
Florida Institute of Technology, Melbourne, FL, USA
Developers of numerical models who address the title problem face several hurdles, such as: (1), the need to formulate boundary conditions applicable in an unbounded region; (2), The need to specify conditions suitable to ensure a unique solution in a doubly connected region; and (3), The need to allow the interior boundary to have a sharp edge, such as a cusp. The aim of the work reported ...
Department of Chemical and Biomolecular Engineering, National University of Singapore, Singapore, Singapore
This presentation gives an account of how COMSOL Multiphysics® software has helped to accelerate research and development. It has been used to simulate energy systems such as fuel cells, biomedical systems such as hydrogels and human skin, and monolithic catalytic converters. Each of these systems requires a mathematical model that can accurately represent the relevant physics, and which can be ...