# Research Area M

**MODELING**

**Coordination**: Prof. Dr. I. Gasser

The Research area M covers projects that have a clear focus on modeling in specific application areas and combines the design of mathematical models with numerical algorithms for their (approximate) solution. Adequate numerical algorithms typically exploit properties of the mathematical models for gaining efficiency.

On the other hand numerical representations are required to conserve the physical properties of the modeled problem to ensure validity of computational solutions. Moreover, goal-oriented strategies directly adjust the discrete algorithm to the modeled question at hand.

Topics and PhD-themes in this research area address challenging mathematical research questions referring to accurate modeling and analysis of thermo-fluid dynamics (M1), hierarchical modeling (M2), and numerical modeling with adaptive discretization concepts (M3).

The team gathers researchers with comprehensive and complimentary skills in the analysis, modeling, and numerical simulation of complex problems. Scientific progress in this area will be facilitated through a strong collaboration between experts on the modeling and the algorithmic components.

**PhD-Projects:**

M1 (Thermal Convection) - Heat Transport in thermal convection

M2 (Solar Plant Modeling) - Model-based design of solar thermal power plants

M3 (Adaptive Modeling) - Optimized refinement criteria for adaptive modeling of transient flows