The main competence of the Department of Transport Processes is the mathematical modeling of complex industrial problems and the development of efficient algorithms for their numerical solution (simulation).

The problems belong to a technical scientific context (fluid dynamics, radiative transfer, acoustics, structure mechanics, etc.) and can be formulated mathematically as partial (integro-)differential equations which are mostly to be characterized as transport equations. Industrial customers typically require the optimization of products, the technical design of production processes, or simulation-based measurement methods. Here, the department offers, e.g., cooperation projects with those R&D departments of partner enterprises which are focused on scientific engineering, studies including design and optimization proposals, concept development, as well as software solutions.

Competences

• Flexible structures

  

  The group 'flexible structures' concentrates on modeling and simulating flexible (elastic, viscous or viscoelastic) objects. Especially the simulation of fluid-structure-interactions is a main topic of this group.

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• Fluid dynamics

  

  Our competence covers most parts of the wide field of fluid dynamics. Being typically described by means of the Navier-Stokes equations, we deal with a huge spectrum of associated identification numbers, such as reynolds- or mach numbers and various material models as well.

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• Grid-free methods

  

  The Finite Pointset Method (FPM), which has been developed in the department, is an individual, independent basic software for simulation tasks in a wide area of flow and continuum mechanical problems. FPM is a particle method, i. e. a grid-free method which, in contrast to classical numerical methods, such as Finite Elements or Finite Volumes, does not require a grid or mesh.

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• Optics, radiation, Heat

  

  Radiative transfer in the visible or infrared wavelength region is importand for many industrial applications. Our special competences are

  - the design of freeform optical elements (Beam Shaping)

  - simulation of radiative heat transfer processes, like the cooling of hot glass or laser radiation in hyperthermy to destroy cancer by heat

  - simulation of heat transfer / diffusion processes, like drug pharmacokinetics in the inner ear after topical administration

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• Model reduction

  

  Due to highly developed software and computer power technical products and processes may be simulated in very detail nowadays. However, developers typically want more: variants have to be checked, quickly evaluated, and optimized or the interaction of structure, fluid, and electronic components have to be investigated.

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