(Georgia Institute of Technology, 2007)
Kim, Byungmoon; Liu, Yingjie; Llamas, Ignacio; Jiao, Xiangmin; Rossignac, Jarek
Liquid and gas interactions often produce bubbles that stay for a
long time without bursting on the surface, making a dry foam structure.
Such long lasting bubbles simulated by the level set method
can suffer from a small but steady volume error that accumulates
to a visible amount of volume change. We propose to address this
problem by using the volume control method. We track the volume
change of each connected region, and apply a carefully computed
divergence that compensates undesired volume changes. To
compute the divergence, we construct a mathematical model of the
volume change, choose control strategies that regulate the modeled
volume error, and establish methods to compute the control gains
that provide robust and fast reduction of the volume error, and (if
desired) the control of how the volume changes over time.