A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows
Author | : Andrew Brian Shelton |
Publisher | : |
Total Pages | : |
Release | : 2008 |
ISBN-10 | : OCLC:429047935 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows written by Andrew Brian Shelton and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The issue of local scale and smoothness presents a crucial and daunting challenge for numerical simulation methods in fluid dynamics. Yet in the interests of both accuracy and economy, how can one devise a general technique that efficiently resolves flow features of consequence and discriminates against others which are either ``negligible' or amenable to ``universal' modeling? This is particularly difficult because geometries of engineering interest are complex and multi-dimensional, precluding a priori knowledge of the flowfield. To address this challenge, the current work employs wavelet theory for the local scale decomposition of functions, which provides a natural mechanism for the adaptive compression of data. The resulting technique is known as the Multi-Resolution Discontinuous Galerkin (MRDG) method.