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3D Benchmarks for Rising Bubbles
Cooperation with Dr. Sven Groß, IGPM, RWTH Aachen Comparison of NaSt3DGPF, OpenFOAM and DROPS |
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Development of NaSty - CFD APP |
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Validation of flume experiments and field data
Cooperation with Research group of Prof. Dr. Herget, Department of Geography |
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Numerical Simulation of current driven sediment transport processes |
| Inverse problems | |
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Level Set Methods |
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Adaptive 3D FE methods for incompressible two-phase flow problems |
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Sparse grid methods for higher dimensional Fokker-Planck-Equations |
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Modeling and Simulation of Global Atmospheric Dynamics |
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Grid Generation of the Atmosphere |
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Interactive Terrain Visualization |
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Multigrid Methods for PDE-Constrained Optimization |
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Parallel methods for short- and long-ranged potentials in Molecular Dynamics |
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Development of efficient algorithms for nanoscale dynamics simulations based on first principles methods
ESPACK: A parallel electronic structure dynamics software package |
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High-Performance Parallel Computing |
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Parallel Algebraic Multigrid
Cooperation with Lawrence Livermore National Laboratory, Center for Applied Scientific Computing, Scalable Linear Solvers Project |
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Parallel Partition of Unity Methods |
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Visualization of Scientific Data |
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Molecular Dynamics Simulations for Material Science Applications |
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Protein Folding by Global Optimization Methods |
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Valuation of Performance-Dependent Options |
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TREMOLO - a parallel molecular dynamics software package |
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Numerical Quadrature in Finance
Pricing of contingent claims, path- and performance-dependent options, Brownian bridge construction, principal component analysis, adaptive sparse grids, dimension reduction. |
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Sparse Grids
Numerical interpolation and integration on sparse grids, hierarchical tensor-product bases, combination technique, curse of dimensionality. |
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Meteorological Data Analysis
Weather radar measurements, meteorological visualization systems, volume rendering, data dependency modelling, neural networks. |
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Molecular Visualization
Fast multiresolution display of transparent isosurfaces, electron densities, visualization of bonds and atomic positions, data exploration. |
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Multiresolution Isosurface Extraction
Adaptive hierarchical tetrahedral meshes, recursive bisection, fast extraction algorithms, error indicators, topology preservation, controlled topology simplification. |
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Fractal Landscape Classification
Hierarchical fractals, computation of fractal exponents, fast inverse data fitting, artificial terrain generation. |
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Compression of Large-Scale Spatial Data
Efficient in-memory data compression, pointer-less representation of hierarchical data structures, space-filling curves, interactive visualization of global topographic data. |
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Hierarchical Terrain Representation
Digital elevation models, adaptive hierarchical triangulations, recursive bisection, wavelets on triangulations, constrained triangulations, preservation of topography. |
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Numerical simulation of dynamic fluid-structure interaction |
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Numerical Simulation of Flows in Domains with Moving Boundaries |
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Development of CFD Code NaSt3DGP |
