High-resolution non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws
| dc.contributor.author | JIANG, G.-S. | |
| dc.contributor.author | LEVY, D. | |
| dc.contributor.author | LIN, C.-T. | |
| dc.contributor.author | OSHER, S. | |
| dc.contributor.author | TADMOR, E. | |
| dc.date.accessioned | 2008-10-20T17:59:15Z | |
| dc.date.available | 2008-10-20T17:59:15Z | |
| dc.date.issued | 1998-12 | |
| dc.description.abstract | We present a general procedure to convert schemes which are based on staggered spatial grids into nonstaggered schemes. This procedure is then used to construct a new family of nonstaggered, central schemes for hyperbolic conservation laws by converting the family of staggered central schemes recently introduced in [H. Nessyahu and E. Tadmor, J. Comput. Phys., 87 (1990), pp. 408{463; X. D. Liu and E. Tadmor, Numer. Math., 79 (1998), pp. 397{425; G. S. Jiang and E. Tadmor, SIAM J. Sci. Comput., 19 (1998), pp. 1892{1917]. These new nonstaggered central schemes retain the desirable properties of simplicity and high resolution, and in particular, they yield Riemann-solver-free recipes which avoid dimensional splitting. Most important, the new central schemes avoid staggered grids and hence are simpler to implement in frameworks which involve complex geometries and boundary conditions. | en |
| dc.format.extent | 2244520 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | G.-S. Jiang, D. Levy, C.-T. Lin, S. Osher & E. Tadmor (1998). High-resolution non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws. SIAM Journal on Numerical Analysis, 35 (1998), 2147-2168. | en |
| dc.identifier.uri | http://hdl.handle.net/1903/8645 | |
| dc.language.iso | en_US | en |
| dc.publisher | Copyright: Society for Industrial and Applied Mathematics | en |
| dc.relation.isAvailableAt | College of Computer, Mathematical & Physical Sciences | en_us |
| dc.relation.isAvailableAt | Mathematics | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, MD) | en_us |
| dc.subject | hyperbolic conservation laws | en |
| dc.subject | central schemes | en |
| dc.subject | staggered grids | en |
| dc.title | High-resolution non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws | en |
| dc.type | Article | en |