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oai:www.ideals.illinois.edu:2142/87741 2023-07-11 col_2142_5131 col_2142_46414 com_2142_5130 com_2142_178 com_2142_234

Haber, Robert B. Palaniappan, Jayandran 2015-09-28T16:23:46Z 2015-09-28T16:23:46Z 10000-01-01 2007 2007 The basic SDG approximation is a simple Bubnov-Galerkin projection that is not prone to global patterns of spurious oscillations. However, it does require stabilization to eliminate local overshoot and undershoot in the immediate vicinity of shocks and other discontinuous solution features. We address this requirement with a diffusion operator whose intensity is controlled by a shock indicator that measures the relative strength of the high-frequency components of the SDG approximation. Results demonstrating the performance of the SDG method, the h-adaptive refinement scheme, and the diffusion operator for applications of the inviscid Euler equations in one and two spatial dimensions are presented. Made available in DSpace on 2015-09-28T16:23:46Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3269996.pdf: 1982375 bytes, checksum: 5decd1699405dc0cd1eaf709cc4c8214 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 89022 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 85 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/87741 (MiAaPQ)AAI3269996 eng Engineering, Mechanical A Spacetime Discontinuous Galerkin Method for Hyperbolic Conservation Laws text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.