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

Fluid;Simulation;Mesh;Filter

Kim, Byungmoon ; Computer Science

University:Georgia Institute of Technology

Department:Computer Science

关键词: Fluid;    Simulation;    Mesh;    Filter;   

Others  :  https://smartech.gatech.edu/bitstream/1853/13978/1/kim_byungmoon_200612_phd.pdf

美国|英语

来源: SMARTech Repository

【 摘 要 】

This thesis is concerned with the evolution of implicit or explicit surfaces.The first part of this thesis addresses three problems in fluidsimulation: advection, thin film, and the volume error. First, weshow that the back and forth error compensation and correction(BFECC) method can significantly reduce the dissipation anddiffusion. Second, thin film is hard to simulate since it has highlycomplex liquid/gas interface that requires high memory andcomputational costs. We address this difficulties by using cellcentered octree grid to reduce memory cost and a multigrid method toreduce computational cost. Third, the volume loss is an undesiredside effect of the level set method. The known solution to this problemis the particle level set method, which is expensive and has small butaccumulating volume error. We provide a solution that is computationallyeffective and can prevent volume loss without accumulation.The second part of this thesis is focused on filtering a triangle mesh toproduce a mesh whose details are selectively reduced or amplified.We develop a mesh filter with a rational transfer function, which is ageneralization from previously developed mesh filters. In addition,we show that the mesh filter parameters can be computed from thephysical size of mesh feature.