Multiresolution Particle Methods.

We present novel multiresolution particle methods with extended dynamic adaptivity in areas where increased resolution is required. The inherent Lagrangian adaptivity of smooth particle methods is complemented by adaptation of the particle size based on criteria such as flow strain and wavelet-based decomposition. In this context we present two particle multiresolution techniques: one based on globally adaptive mappings and one employing a wavelet-based multiresolution analysis of the transported quantities to guide the allocation of computational elements. Results are presented from the application of these methods to level sets and two-dimensional vortical flows. [ABSTRACT FROM AUTHOR]