Molecular dynamics is a technique in which the
trajectories of a group of particles are calculated as a
function of time by integrating the equations of motion. In
this thesis we study the use of molecular dynamics for atoms
in a crystal.
A model is introduced which describes interactions of...
This thesis presents a discussion of motion of a six-legged walking
machine following removal of one leg constraint. To take a step, one leg
must be lifted and placed at some other position. As soon as the constraint
provided by the leg is removed, however the machine begins to fall....
Significant reductions in the number of defects in parts
produced by investment casting can be obtained by improving
the flow of the molten metal during pouring. Studies have
been done at Oregon State University with simulated casting
techniques to determine optimal mold configurations.
Better mold layouts have been shown to...
Fluid simulation is an interesting research problem with a wide range of applications including mechanical engineering, special effects in movies and games, and scientific simulation. Due to the complex nature of typical fluid flow equations, there are circumstances where a full volumetric fluid simulation may not be necessary to generate...
Fluid simulation on interacting deformable surfaces is a challenging problem that has many applications. In this paper, we present a framework in which artistic as well as physically realistic flows can be generated on surfaces during deformation and collision. Our simulation system provides comprehensive control over the motion and deformation...
Most existing flow visualization techniques focus on the analysis and visualization of the vector field that describes the flow. In this paper, we employ a rather different approach by performing tensor field analysis and visualization on the gradient of the vector field, which can provide additional and complementary information to...
Visualizing asymmetric tensors is an important task in understanding fluid dynamics. In this paper, we describe topological analysis and visualization techniques for asymmetric tensor fields on surfaces based on analyzing the impact of the symmetric and antisymmetric components of the tensor field on its eigenvalues and eigenvectors. At the core...
The gradient of a velocity vector field is an asymmetric tensor field which can provide critical insight into the vector field that is difficult to infer from traditional trajectory-based vector field visualization techniques. We describe the structures in the eigenvalue and eigenvector fields of the gradient tensor and how these...