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Título : Accurate and efficient simulation of transport in multidimensional flow
Autor : Latorre Garcés, Borja ; García-Navarro, Pilar; Murillo, J.; Burguete Tolosa, Javier
Palabras clave : high-order schemes
linear advection
multidimensional flow
CFA
computational efficiency
Legendre polynomials
Fecha de publicación : feb-2011
Editor: John Wiley & Sons
Citación : Latorre B, García-Navarro P, Murillo J, Burguete J. Accurate and efficient simulation of transport in multidimensional flow. International Journal for Numerical Methods in Fluids 65 (4): 405-431 (2011)
Resumen: A new numerical method to obtain high-order approximations of the solution of the linear advection equation in multidimensional problems is presented. The proposed conservative formulation is explicit and based on a single updating step. Piecewise polynomial spatial discretization using Legendre polynomials provides the required spatial accuracy. The updating scheme is built from the functional approximation of the exact solution of the advection equation and a direct evaluation of the resulting integrals. The numerical details for the schemes in one and two spatial dimensions are provided and validated using a set of numerical experiments. Test cases have been oriented to the convergence and the computational efficiency analysis of the schemes.
Descripción : 27 Pags., 19 Figs., 1 Tabl. The definitive version is available at: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363
Versión del editor: http://dx.doi.org/10.1002/fld.2189
URI : http://hdl.handle.net/10261/52665
DOI: 10.1002/fld.2189
ISSN: 0271-2091
E-ISSN: 1097-0363
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