Applications

Optimization Problems in Power Management

The management of electricity portfolios includes the unit commitment problem (with respect to a network of thermal, hydro, decentralized and other power units) but also trading of electrical energy under the conditions of a liberalized power market. [>> more]

Thermodynamic models for electrochemical systems

The behavior of electrochemical systems is widely investigated with continuum physics models. Applications range from single crystal electrochemistry to lithium batteries and fuel cells, from biological nano-pores to electrolysis and corrosion science, and further. [>> more]

Modeling and simulation of semiconductor structures

Modern semiconductor devices and optoelectronic devices such as semiconductor lasers are based on semiconductor structures, which e.g. can be given by doping profiles, heterostructures or nanostructures. For the qualitative and quantitative understanding of the properties of these devices, mathematical modeling and simulation of the most relevant and, respectively, of the limiting carrier transport processes is necessary. [>> more]

Photovoltaics

This work is focussed on the design of nanostructures and semiconductor simulations in photovoltaics as well as the production of solar silicon. [>> more]

Phase transition and hysteresis in the context of storage problems

Phase transitions and hysteresis are characteristics of energy storage problems. The aim is to formulate and analyse a thermodynamical model which discribes the storage problem. [>> more]

Static and dynamic simulation in process engineering

Static and dynamic process simulation has become an indispensable tool for design, analysis, and operation of complex plants in the process engineering industry. Here initial value problems for large-scale systems of differential and algebraic equations (DAEs) have to be solved. The simulation concept developed at WIAS is based on divide-and-conquer techniques and exploits the modular structure of the process models. The DAE system is solved with block-structured Newton-type methods. The simulation concept has been implemented in the Block Oriented Process Simulator BOP and has been successfully used in different industrial applications. [>> more]

Modeling of thin films and nano structures on substrates

Thin films play an important role in nature and many areas of technological applications. In particular on micro- and nanoscales technological processes such as dewetting or epitaxial growth are used to design surfaces with specific material properties. Apart from the need to derive mathematical decriptions, analyis and numerical simulation, that serve to accelerate the development of new technologies, it is also exciting to understand material behaviour on these small scales. [>> more]