MHD forced convective flow past a vertical plate: an automated solution approach

The forced convection flow in incompressible viscous fluid past a vertical plate is investigated with the effect of magnetic field. The governing equations are solved numerically using automated solution technique which is FEniCS. It is shown that the increasing of magnetic field strength lead to decrease the velocity but increase the temperature for cooled plate. Meanwhile for heated plate, increasing magnetic field strength lead to decrease the velocity and the temperature of the fluid

MHD free convective flow past a vertical plate

The free convective flow in incompressible viscous fluid past a vertical plate is studied under the presence of magnetic field. The flow is considered along the vertical plate at x-axis in upward direction and y-axis is taken normal to it. The governing equations are written in vector form. Afterwards, the equations are solved numerically using finite element method with automated solution techniques. Later, the effects of magnetic field strength to the velocity and temperature of the fluid are obtained. It is found that for heated plate, the velocity and the temperature of the fluid decreases when the magnetic field strength increases. Meanwhile for cooled plate, the velocity decreases but the temperature increases when the magnetic field strength increases

SOLID-SHELL FINITE ELEMENT MODELS FOR EXPLICIT SIMULATIONS OF CRACK PROPAGATION IN THIN STRUCTURES

Crack propagation in thin shell structures due to cutting is conveniently simulated using explicit finite element approaches, in view of the high nonlinearity of the problem. Solidshell elements are usually preferred for the discretization in the presence of complex material behavior and degradation phenomena such as delamination, since they allow for a correct representation of the thickness geometry. However, in solid-shell elements the small thickness leads to a very high maximum eigenfrequency, which imply very small stable time-steps. A new selective mass scaling technique is proposed to increase the time-step size without affecting accuracy. New ”directional” cohesive interface elements are used in conjunction with selective mass scaling to account for the interaction with a sharp blade in cutting processes of thin ductile shells

G-CSC Report 2010

The present report gives a short summary of the research of the Goethe Center for Scientific Computing (G-CSC) of the Goethe University Frankfurt. G-CSC aims at developing and applying methods and tools for modelling and numerical simulation of problems from empirical science and technology. In particular, fast solvers for partial differential equations (i.e. pde) such as robust, parallel, and adaptive multigrid methods and numerical methods for stochastic differential equations are developed. These methods are highly adanvced and allow to solve complex problems.. The G-CSC is organised in departments and interdisciplinary research groups. Departments are localised directly at the G-CSC, while the task of interdisciplinary research groups is to bridge disciplines and to bring scientists form different departments together. Currently, G-CSC consists of the department Simulation and Modelling and the interdisciplinary research group Computational Finance

Flow-Based Optimization of Products or Devices

Flow-based optimization of products and devices is an immature field compared to the corresponding topology optimization based on solid mechanics. However, it is an essential part of component development with both internal and/or external flow. The aim of this book is two-fold: (i) to provide state-of-the-art examples of flow-based optimization and (ii) to present a review of topology optimization for fluid-based problems

Computational modeling of electroactive hydrogels for cartilage-tissue repair using electrical stimulation

The self-repair capability of articular cartilage is limited due to the lack of vascularization and low turnover of its extracellular matrix. In quest of therapeutic options, electrical stimulation has been proposed for improving tissue engineering approaches for the repair of articular cartilage. The use of electrical stimulation for the repair of cartilage tissue requires detailed preliminary analysis. In this thesis, computational models have been studied that can be used for optimizing the experimental protocols for cartilage–tissue repair using electrical stimulation.Die Fähigkeit des Gelenkknorpels, sich selbst zu regenerieren, ist aufgrund der fehlenden Vaskularisierung und des niedrigen Umsatzes seiner extrazellulären Matrix begrenzt. Ein alternativer Therapieansatz zu klassischen operativen Eingriffen ist die elektrische Stimulation des Knorpelgewebes im Gelenk. Diese neuartige Methode bedarf ausführlicher Voranalyse. In dieser Arbeit wurden Computermodelle untersucht, die zur Optimierung der experimentellen Protokolle für die Knorpelgewebereparatur mittels elektrischer Stimulation verwendet werden können