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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.244 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2012005166
pages 351-363

ADVECTION AND DIFFUSION SIMULATIONS USING LAGRANGIAN BLOCKS

Vincent H. Chu
Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke St. West, Montreal, Quebec H3A0C3, Canada
Wihel Altai
Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke St. West, Montreal, Quebec H3A0C3, Canada

RÉSUMÉ

The Lagrangian block advection and diffusion is developed as an alternative numerical procedure to the solution of the transport equation. The blocks are the computational elements, which are defined by the zero, first, and second moments of the blocks. The centers of mass of the blocks move with the advection velocity. The second moment of the blocks increases at a rate proportional to the diffusivity. The accuracy of the simulations by the Lagrangian block method is assessed by comparing the block simulation with an exact solution of the advection-and-diffusion equation. Unlike most numerical methods, the error associated with the Lagrangian block method is small and is not cumulative even when a very coarse block size is employed for the computation. False numerical diffusion error is totally avoidable when Lagrangian blocks are used to do the computation.


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