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URN etd-0715105-165319 Statistics This thesis had been viewed 2763 times. Download 1053 times. Author Zhan-xin Wang Author's Email Address email@example.com Department Math Year 2005 Semester 2 Degree Master Type of Document Master's Thesis Language English Page Count 58 Title High-Order Schemes With Subcell Resolution For Hyperbolic Conservation Laws Keyword TVD schemes TVB schemes subcell resolution ENO schemes ENO schemes subcell resolution TVB schemes TVD schemes Abstract We introduce the notion of subcell resolution, which is based on the observation that is unlike point values, cell-averages of a discontinuous piecewise-smooth function containing information about the exact location of the discontinuous within the cell. In this article, we also compare high order resolution numerical schemes (TVD2, TVB2, ENO2, ENO3, etc.) and these schemes with subcell resolution. We will observe that subcell resolution can improve accuracy of these schemes and have effect on the contact discontinuity Advisor Committee Yi-nan Tsai - advisor
none - co-chair
none - co-chair
Files Date of Defense 2005-07-14 Date of Submission 2005-07-15