A Multi Resolution Discontinuous Galerkin Method For Unsteady Compressible Flows
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A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows
Author | : Andrew Brian Shelton |
Publisher | : |
Total Pages | : |
Release | : 2008 |
Genre | : Fluid dynamics |
ISBN | : |
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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.
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