
3D Benchmarks for Rising Bubbles
Cooperation with Dr. Sven Groß, IGPM, RWTH Aachen Comparison of NaSt3DGPF, OpenFOAM and DROPS 

Development of NaSty  CFD APP 

Validation of flume experiments and field data
Cooperation with Research group of Prof. Dr. Herget, Department of Geography 

Numerical Simulation of current driven sediment transport processes 

Inverse problems 

Level Set Methods 

Adaptive 3D FE methods for incompressible twophase flow problems 

Sparse grid methods for higher dimensional FokkerPlanckEquations 

Modeling and Simulation of Global Atmospheric Dynamics 

Grid Generation of the Atmosphere 

Interactive Terrain Visualization 

Multigrid Methods for PDEConstrained Optimization 

Parallel methods for short and longranged potentials in Molecular Dynamics 

Development of efficient algorithms for nanoscale dynamics simulations based on first principles methods
ESPACK: A parallel electronic structure dynamics software package 

HighPerformance Parallel Computing 

Parallel Algebraic Multigrid
Cooperation with Lawrence Livermore National Laboratory, Center for Applied Scientific Computing, Scalable Linear Solvers Project 

Parallel Partition of Unity Methods 

Visualization of Scientific Data 

Molecular Dynamics Simulations for Material Science Applications 

Protein Folding by Global Optimization Methods 

Valuation of PerformanceDependent Options 

TREMOLO  a parallel molecular dynamics software package 

Numerical Quadrature in Finance
Pricing of contingent claims, path and performancedependent options, Brownian bridge construction, principal component analysis, adaptive sparse grids, dimension reduction. 

Sparse Grids
Numerical interpolation and integration on sparse grids, hierarchical tensorproduct bases, combination technique, curse of dimensionality. 

Meteorological Data Analysis
Weather radar measurements, meteorological visualization systems, volume rendering, data dependency modelling, neural networks. 

Molecular Visualization
Fast multiresolution display of transparent isosurfaces, electron densities, visualization of bonds and atomic positions, data exploration. 

Multiresolution Isosurface Extraction
Adaptive hierarchical tetrahedral meshes, recursive bisection, fast extraction algorithms, error indicators, topology preservation, controlled topology simplification. 

Fractal Landscape Classification
Hierarchical fractals, computation of fractal exponents, fast inverse data fitting, artificial terrain generation. 

Compression of LargeScale Spatial Data
Efficient inmemory data compression, pointerless representation of hierarchical data structures, spacefilling curves, interactive visualization of global topographic data. 

Hierarchical Terrain Representation
Digital elevation models, adaptive hierarchical triangulations, recursive bisection, wavelets on triangulations, constrained triangulations, preservation of topography. 

Numerical simulation of dynamic fluidstructure interaction 

Numerical Simulation of Flows in Domains with Moving Boundaries 

Development of CFD Code NaSt3DGP 