This thesis is concerned with the evolution of implicit or explicit surfaces.
The first part of this thesis addresses three problems in fluid
simulation: advection, thin film, and the volume error. First, we
show that the back and forth error compensation and correction
(BFECC) method can significantly reduce the dissipation and
diffusion. Second, thin film is hard to simulate since it has highly
complex liquid/gas interface that requires high memory and
computational costs. We address this difficulties by using cell
centered octree grid to reduce memory cost and a multigrid method to
reduce computational cost. Third, the volume loss is an undesired
side effect of the level set method. The known solution to this problem
is the particle level set method, which is expensive and has small but
accumulating volume error. We provide a solution that is computationally
effective and can prevent volume loss without accumulation.
The second part of this thesis is focused on filtering a triangle mesh to
produce a mesh whose details are selectively reduced or amplified.
We develop a mesh filter with a rational transfer function, which is a
generalization from previously developed mesh filters. In addition,
we show that the mesh filter parameters can be computed from the
physical size of mesh feature.
| Identifer | oai:union.ndltd.org:GATECH/oai:smartech.gatech.edu:1853/13978 |
| Date | 21 November 2006 |
| Creators | Kim, Byungmoon |
| Publisher | Georgia Institute of Technology |
| Source Sets | Georgia Tech Electronic Thesis and Dissertation Archive |
| Language | en_US |
| Detected Language | English |
| Type | Dissertation |
| Format | 14370122 bytes, application/pdf |
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