P. Sandin , A. Lockby , M. Ögren , M. Gulliksson 
School of Science and Technology, Örebro, Sweden
We demonstrate a new method of finding stationary solutions to nonlinear equations using a dynamical damped oscillatory model to minimize an energy functional. The method can be used for diverse physical problems and is here demonstrated both for finding stationary solutions to the heat equation and to the nonlinear Schrödinger equation. The method is very general and can handle equations with ...
Department of Mathematics, Monmouth University, West Long Branch, NJ, USA
Atherosclerotic lesions preferentially develop in certain regions like bifurcations, branches, and bends [1, 2]. A possible explanation for such a preferential localization of atherosclerosis is that the geometry of the vessel influences the blood flow pattern. It suggests that the arterial geometry plays an important role in determining the localized blood flow information. Thus hemodynamic ...
3D COMSOL Multiphysics® Model of a Plate Heat Exchanger to Support a Laboratory Teaching Environment - new
N. Medeiros, W. Clark
Worcester Polytechnic Institute, Worcester, MA, USA
Chemical engineering students and practitioners need an understanding of fluid flow and heat transfer inside heat exchangers. Because the flow within plate heat exchangers is difficult to visualize, we developed COMSOL Multiphysics® simulations of plate heat exchangers for students to study alongside a physical heat exchanger in a laboratory setting. Simulative experiments allow students to ...
Solving Distributed Optimal Control Problems for the Unsteady Burgers Equation in COMSOL Multiphysics®
F. Yilmaz and B. Karasözen
Department of Mathematics, Gazi University, Ankara, Turkey
Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey
We use COMSOL Multiphysics® for solving distributed optimal control of un- steady Burgers equation without constraints and with pointwise control constraints. Using the first order optimality conditions, we apply projection and semi-smooth Newton methods for solving the optimality system. We have applied the standard approach by integrating the state equation forward in time and the ad- joint ...
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 that these additional domains result in an increased number of degrees of freedom which are strictly ...
Design Optimization of an Electronic Component with an Evolutionary Algorithm Using a MATLAB-COMSOL Based Model
E. Pelster, and D. Wenger
Wenger Engineering GmbH
Electric construction components exposed to alternating high voltage have to withstand a significant amount of thermal loads and, resulting from the changes in Temperature , structural stresses. In order to achieve minimization of these loads, optimizing the geometry can be a helpful tool in the design process. In this study COMSOL is used to predict thermal and mechanical loads on a high ...
M. Gobbert, and S. Yang
Department of Mathematics and Statistics, University of Maryland, Baltimore, MD, USA
The convergence order of finite elements is related to the polynomial order of the basis functions used on each element, with higher order polynomials yielding better convergence orders. However, two issues can prevent this convergence order from being achieved: the lack of regularity of the PDE solution and the poor approximation of curved boundaries by polygonal meshes. We show studies for ...
Bridging the Complexity Gap in Modern Engineering Education with COMSOL Multiphysics® Software - new
L. Fromme, C. Schröder
Bielefeld University of Applied Sciences, Bielefeld, Germany
Multiphysics simulations play an important role in researchanddevelopment in almost all disciplines. Therefore it is necessary to teach them at the universities to provide the industry with well-trained graduate students. In our lectures about the finite element method we use a simple but rich enough example problem, which can be solved analytically. By comparing numerical and analytical ...
M. Csete, A. Szalai, E. Csapó, A. Somogyi, I. Dékány
Department of Optics and Quantum Electronics, University of Szeged, Szeged, Hungary
MTA-SZTE Supramolecular and Nanostructured Materials Research Group, University of Szeged, Szeged, Hungary
Novel class of artificial optical antennas are of great interest in biosensing applications of nanoplasmonics due to their unique and tunable spectral properties. Silver colloid spheres covered with L-cysteine were studied experimentally by spectroscopy and TEM and numerically by a COMSOL Multiphysics® simulation. Experimental studies revealed that the Ag NP-Cys core-shell conjugates prefer to ...
T.C. Zhu, and X. Liang
University of Pennsylvania, Philadelphia, PA, USA
Singlet oxygen (1O2) is the major cytotoxic agent in photodynamic therapy (PDT). The reaction between 1O2 and tumor cells defines the treatment efficacy. Based on a previously developed model that incorporates the diffusion equation for the light transport in tissue and the macroscopic kinetic equations for the generation of the singlet oxygen, the distance-dependent reacted 1O2 is numerically ...