DOI: 10.1615/ICHMT.2012.CHT-12
ISBN: 978-1-56700-303-1
ISSN: 2578-5486
ADVECTION AND DIFFUSION SIMULATIONS USING LAGRANGIAN BLOCKS
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 centres 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. Artificial numerical diffusion error is totally avoidable when Lagrangian blocks are used to do the computation.