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Adaptivity for Meshless Metal Cutting Simulations
Adaptivity is an interesting concept in scientific computing where more numerical effort is spent in areas of interest than in uninteresting areas. This project concerns itself with introducing adaptive concepts to a meshless metal cutting solver
Metal cutting is a very involved process. Large deformations, high temperature gradients and extreme
strain rates are encountered. Thus, the simulation of metal cutting remains an active area of research.
In fact, a state of the art meshless metal cutting solver is developed at IWF. Adaptivity is an interesting concept in scientific computing where more numerical effort is spent in areas of interest than in unin teresting areas. While well understood in mesh based applications like the FEM, it is still an active area of research for meshless applications.
**Challenges**
Algorithms for adaptivity in meshless solid dynamics are currently only available for total Lagrangian frames. Novel ideas will need to be developed for updated Lagrangian frames, albeit certain options exist to borrow methods rooted in computer graphics. Preparing the current meshless simulation code at IWF for adaptivity will require significant changes to the software architecture.
**Tasks**
- Literature review on meshless methods and review of adaptivity
- Selection of suitable algorithms
- Implementation of these algorithms into the existing framework
- Test of these algorithms, establishing their efficiency
**Requirements**
- Motivated, creative and autonomous student
- Solid mathematical background
- Interested in computational science
- Programming skills in C++ are essential
Metal cutting is a very involved process. Large deformations, high temperature gradients and extreme strain rates are encountered. Thus, the simulation of metal cutting remains an active area of research. In fact, a state of the art meshless metal cutting solver is developed at IWF. Adaptivity is an interesting concept in scientific computing where more numerical effort is spent in areas of interest than in unin teresting areas. While well understood in mesh based applications like the FEM, it is still an active area of research for meshless applications.
**Challenges**
Algorithms for adaptivity in meshless solid dynamics are currently only available for total Lagrangian frames. Novel ideas will need to be developed for updated Lagrangian frames, albeit certain options exist to borrow methods rooted in computer graphics. Preparing the current meshless simulation code at IWF for adaptivity will require significant changes to the software architecture.
**Tasks** - Literature review on meshless methods and review of adaptivity
- Selection of suitable algorithms
- Implementation of these algorithms into the existing framework
- Test of these algorithms, establishing their efficiency