Adaptive Computation and Modeling for Multiscale Analysis

Download or read book Adaptive Computation and Modeling for Multiscale Analysis written by and published by . This book was released on 2005 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms and software for the adaptive solution of multiscale problems involving partial differential equations and linkage to atomic level simulations. Efforts focused on techniques for using the discontinuous Galerkin method to solve hyperbolic and singularly perturbed parabolic problems. New anisotropic adaptive and parallel solution techniques, a posteriori error estimation strategies, limiting procedures that reduce spurious oscillations near discontinuities, and discontinuity detection strategies that reduce the need for limiting, thereby reducing both excess diffusion and spurious oscillations were developed. The software and methods are being tested on a variety of problems involving compressible flows. In collaboration with engineers at Benet Laboratories, we have been investigating muzzle blast from cannons with perforated brakes. A new procedure to couple atomic/continuum level adaptive simulations was developed and demonstrated on test problems. Scale error indicators have developed and adaptive construction of local atomic regions demonstrated.