A Semi-Lagrangian Closest Point Method for Deforming Surfaces

Stefan Auer, Rudiger Westermann

We present an Eulerian method for the real-time simulation of intrinsic fluid dynamics effects on deforming
surfaces. Our method is based on a novel semi-Lagrangian closest point method for the solution of partial
differential equations on animated triangle meshes.We describe this method and demonstrate its use to com-
pute and visualize flow and wave propagation along such meshes at high resolution and speed. Underlying
our technique is the efficient conversion of an animated triangle mesh into a time-dependent implicit repre-
sentation based on closest surface points. The proposed technique is unconditionally stable with respect to the
surface deformation and, in contrast to comparable Lagrangian techniques, its precision does not depend on
the level of detail of the surface triangulation.

A Semi-Lagrangian Closest Point Method for Deforming Surfaces

(Comments are closed)