The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems
DOWNLOAD
Download The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems
DOWNLOAD
Author : Irina Kalashnikova
language : en
Publisher: Stanford University
Release Date : 2011
The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems written by Irina Kalashnikova and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
A discontinuous enrichment method (DEM) for the efficient finite element solution of advection-dominated transport problems in fluid mechanics whose solutions are known to possess multi-scale features is developed. Attention is focused specifically on the two-dimensional (2D) advection-diffusion equation, the usual scalar model for the Navier-Stokes equations. Following the basic DEM methodology [1], the usual Galerkin polynomial approximation is locally enriched by the free-space solutions to the governing homogeneous partial differential equation (PDE). For the constant-coefficient advection-diffusion equation, several families of free-space solutions are derived. These include a family of exponential functions that exhibit a steep gradient in some flow direction, and a family of discontinuous polynomials. A parametrization of the former class of functions with respect to an angle parameter is developed, so as to enable the systematic design and implementation of DEM elements of arbitrary orders. It is shown that the original constant-coefficient methodology has a natural extension to variable-coefficient advection-diffusion problems. For variable-coefficient transport problems, the approximation properties of DEM can be improved by augmenting locally the enrichment space with a "higher-order" enrichment function that solves the governing PDE with the advection field a(x) linearized to second order. A space of Lagrange multipliers, introduced at the element interfaces to enforce a weak continuity of the solution and related to the normal derivatives of the enrichment functions, is developed. The construction of several low and higher-order DEM elements fitting this paradigm is discussed in detail. Numerical results for several constant as well as variable-coefficient advection-diffusion benchmark problems reveal that these DEM elements outperform their standard Galerkin and stabilized Galerkin counterparts of comparable computational complexity by a large margin, especially when the flow is advection-dominated.
The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems
DOWNLOAD
Author : Irina Kalashnikova Tezaur
language : en
Publisher:
Release Date : 2011
The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems written by Irina Kalashnikova Tezaur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
A discontinuous enrichment method (DEM) for the efficient finite element solution of advection-dominated transport problems in fluid mechanics whose solutions are known to possess multi-scale features is developed. Attention is focused specifically on the two-dimensional (2D) advection-diffusion equation, the usual scalar model for the Navier-Stokes equations. Following the basic DEM methodology [1], the usual Galerkin polynomial approximation is locally enriched by the free-space solutions to the governing homogeneous partial differential equation (PDE). For the constant-coefficient advection-diffusion equation, several families of free-space solutions are derived. These include a family of exponential functions that exhibit a steep gradient in some flow direction, and a family of discontinuous polynomials. A parametrization of the former class of functions with respect to an angle parameter is developed, so as to enable the systematic design and implementation of DEM elements of arbitrary orders. It is shown that the original constant-coefficient methodology has a natural extension to variable-coefficient advection-diffusion problems. For variable-coefficient transport problems, the approximation properties of DEM can be improved by augmenting locally the enrichment space with a "higher-order" enrichment function that solves the governing PDE with the advection field a(x) linearized to second order. A space of Lagrange multipliers, introduced at the element interfaces to enforce a weak continuity of the solution and related to the normal derivatives of the enrichment functions, is developed. The construction of several low and higher-order DEM elements fitting this paradigm is discussed in detail. Numerical results for several constant as well as variable-coefficient advection-diffusion benchmark problems reveal that these DEM elements outperform their standard Galerkin and stabilized Galerkin counterparts of comparable computational complexity by a large margin, especially when the flow is advection-dominated.
Acid Precipitation
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1986
Acid Precipitation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Acid deposition categories.
Pollution Abstracts
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1995
Pollution Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Air categories.
A Mathematical Framework For Multiscale Science And Engineering
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2007
A Mathematical Framework For Multiscale Science And Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
This report is a collection of documents written as part of the Laboratory Directed Research and Development (LDRD) project A Mathematical Framework for Multiscale Science and Engineering: The Variational Multiscale Method and Interscale Transfer Operators. We present developments in two categories of multiscale mathematics and analysis. The first, continuum-to-continuum (CtC) multiscale, includes problems that allow application of the same continuum model at all scales with the primary barrier to simulation being computing resources. The second, atomistic-to-continuum (AtC) multiscale, represents applications where detailed physics at the atomistic or molecular level must be simulated to resolve the small scales, but the effect on and coupling to the continuum level is frequently unclear.