Multiresolution Simulations Using Particles

Michael Bergdorf, Petros Koumoutsakos

Abstract: We present novel multiresolution particle methods with extended dynamic adaptivity in areas where increased resolution is required. In the framework of smooth particle methods we present two adaptive approaches: one based on globally adaptive mappings and one employing a wavelet-based multiresolution analysis to guide the allocation of computational elements. Preliminary results are presented from the application of these methods to problems involving the development of sharp vorticity gradients. The present particle methods are employed in large scale parallel computer architectures demonstrating a high degree of parallelization and enabling state of the art large scale simulations of continuum systems using particles.