The Scalability of Parallel Adaptive Mesh Refinement with Uintah
Author : Justin Paul Luitjens
Publisher :
Page : 147 pages
File Size : 46,11 MB
Release : 2011
Category : Computer simulation
ISBN :
Author : Justin Paul Luitjens
Publisher :
Page : 147 pages
File Size : 46,11 MB
Release : 2011
Category : Computer simulation
ISBN :
Author : Gerhard Zumbusch
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 26,30 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3322800636
Main aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are covered from the historical background to modern developments. It is demonstrated how the ingredients can be put together to give an adaptive and parallel multilevel approach for the solution of elliptic boundary value problems. Error estimators and adaptive grid refinement techniques for ordinary and for sparse grid discretisations are presented. Different types of additive and multiplicative multilevel solvers are discussed with respect to parallel implementation and application to adaptive refined grids. Efficiency issues are treated both for the sequential multilevel methods and for the parallel version by hash table storage techniques. Finally, space-filling curve enumeration for parallel load balancing and processor cache efficiency are discussed.
Author : Mustafa Keskin
Publisher :
Page : 58 pages
File Size : 36,72 MB
Release : 1994
Category :
ISBN :
Author : MARSHA J. BERGER
Publisher :
Page : 0 pages
File Size : 41,56 MB
Release : 2018
Category :
ISBN : 9781033419618
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 34 pages
File Size : 23,6 MB
Release : 2018-06-28
Category :
ISBN : 9781722013455
Over recent years, Adaptive Mesh Refinement (AMR) algorithms which dynamically match the local resolution of the computational grid to the numerical solution being sought have emerged as powerful tools for solving problems that contain disparate length and time scales. In particular, several workers have demonstrated the effectiveness of employing an adaptive, block-structured hierarchical grid system for simulations of complex shock wave phenomena. Unfortunately, from the parallel algorithm developer's viewpoint, this class of scheme is quite involved; these schemes cannot be distilled down to a small kernel upon which various parallelizing strategies may be tested. However, because of their block-structured nature such schemes are inherently parallel, so all is not lost. In this paper we describe the method by which Quirk's AMR algorithm has been parallelized. This method is built upon just a few simple message passing routines and so it may be implemented across a broad class of MIMD machines. Moreover, the method of parallelization is such that the original serial code is left virtually intact, and so we are left with just a single product to support. The importance of this fact should not be underestimated given the size and complexity of the original algorithm. Quirk, James J. and Hanebutte, Ulf R. Unspecified Center NAS1-19480; RTOP 505-90-52-01...
Author : James J. Quirk
Publisher :
Page : 36 pages
File Size : 27,99 MB
Release : 1993
Category :
ISBN :
Author : Jean-Noël Pederzani
Publisher :
Page : 204 pages
File Size : 17,57 MB
Release : 2009
Category :
ISBN :
Author :
Publisher :
Page : 42 pages
File Size : 10,49 MB
Release : 1999
Category :
ISBN :
Author : Tomasz Plewa
Publisher : Springer Science & Business Media
Page : 550 pages
File Size : 11,57 MB
Release : 2005-12-20
Category : Mathematics
ISBN : 3540270396
Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.
Author : Xiangyang Li
Publisher :
Page : 126 pages
File Size : 32,59 MB
Release : 2000
Category :
ISBN :