Title:
Simulation of fluids with reduced diffusion, thin liquid films, volume control, and a mesh filter in rational form

dc.contributor.advisor Rossignac, Jarek
dc.contributor.author Kim, Byungmoon en_US
dc.contributor.committeeMember Turk, Greg
dc.contributor.committeeMember Essa, Irfan
dc.contributor.committeeMember Jiao, Xiangmin
dc.contributor.committeeMember Yingjie Liu
dc.contributor.department Computer Science en_US
dc.date.accessioned 2007-03-27T18:06:56Z
dc.date.available 2007-03-27T18:06:56Z
dc.date.issued 2006-11-21 en_US
dc.description.abstract 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. en_US
dc.description.degree Ph.D. en_US
dc.format.extent 14370122 bytes
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/13978
dc.language.iso en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Fluid en_US
dc.subject Simulation en_US
dc.subject Mesh en_US
dc.subject Filter en_US
dc.title Simulation of fluids with reduced diffusion, thin liquid films, volume control, and a mesh filter in rational form en_US
dc.type Text
dc.type.genre Dissertation
dspace.entity.type Publication
local.contributor.advisor Rossignac, Jarek
local.contributor.corporatename College of Computing
relation.isAdvisorOfPublication d854d72c-9694-4442-bd2f-fb8859bade72
relation.isOrgUnitOfPublication c8892b3c-8db6-4b7b-a33a-1b67f7db2021
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