High-resolution rotated grid method for conservation laws with embedded geometries

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High-resolution rotated grid method for conservation laws with embedded geometries

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dc.contributor.author Helzel, Christiane, 1971- en_US
dc.contributor.author Berger, Marsha J. en_US
dc.contributor.author LeVeque, Randall J., 1955- en_US
dc.date.accessioned 2009-05-20T21:36:25Z
dc.date.available 2009-05-20T21:36:25Z
dc.date.issued 2005 en_US
dc.identifier.citation SIAM J. SCI. COMPUT. , Vol. 26, No. 3, pp. 785–809 en_US
dc.identifier.uri http://hdl.handle.net/1773/4636
dc.description.abstract We 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.iso en_US en_US
dc.rights Copyright @ 2005 Society for Industrial and Applied Mathematics en_US
dc.subject finite volume methods en_US
dc.subject conservation laws en_US
dc.subject Cartesian grids en_US
dc.subject irregular geometries en_US
dc.title High-resolution rotated grid method for conservation laws with embedded geometries en_US
dc.type Article en_US


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