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dc.contributor.authorHelzel, Christiane, 1971-en_US
dc.contributor.authorBerger, Marsha J.en_US
dc.contributor.authorLeVeque, Randall J., 1955-en_US
dc.date.accessioned2009-05-20T21:36:25Z
dc.date.available2009-05-20T21:36:25Z
dc.date.issued2005en_US
dc.identifier.citationSIAM J. SCI. COMPUT. , Vol. 26, No. 3, pp. 785–809en_US
dc.identifier.urihttp://hdl.handle.net/1773/4636
dc.description.abstractWe develop a second-order rotated grid method for the approximation of time dependent solutions of conservation laws in complex geometry using an underlying Cartesian grid. Stability for time steps adequate for the regular part of the grid is obtained by increasing the domain of dependence of the numerical method near the embedded boundary by constructing h-boxes at grid cell interfaces. We describe a construction of h-boxes that not only guarantees stability but also leads to an accurate and conservative approximation of boundary cells that may be orders of magnitude smaller than regular grid cells. Of independent interest is the rotated difference scheme itself, on which the embedded boundary method is based.en_US
dc.language.isoen_USen_US
dc.rightsCopyright @ 2005 Society for Industrial and Applied Mathematicsen_US
dc.subjectfinite volume methodsen_US
dc.subjectconservation lawsen_US
dc.subjectCartesian gridsen_US
dc.subjectirregular geometriesen_US
dc.titleHigh-resolution rotated grid method for conservation laws with embedded geometriesen_US
dc.typeArticleen_US


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