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Accurate and efficient simulation of transport in multidimensional flow

AuthorsLatorre Garcés, Borja ; García-Navarro, Pilar; Murillo, J.; Burguete Tolosa, Javier
Keywordshigh-order schemes
linear advection
multidimensional flow
computational efficiency
Legendre polynomials
Issue DateFeb-2011
PublisherJohn Wiley & Sons
CitationLatorre 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)
AbstractA 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.
Description27 Pags., 19 Figs., 1 Tabl. The definitive version is available at: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363
Publisher version (URL)http://dx.doi.org/10.1002/fld.2189
Appears in Collections:(EEAD) Artículos
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