TY - JOUR
T1 - On the role of tracking on Eulerian-Lagrangian solutions of the transport equation
AU - Oliveira, Anabela
AU - Baptista, António M.
N1 - Funding Information:
We thank Andre Fortunato for useful discussions and for reviewing earlier versions of this manuscript. The first author was sponsored by Junta National de Investiga@o Cientifica e Tecnologica (Portugal), under grant BD-2775/ 93, and the second author was partially sponsored by the National Science Foundation, grant OCE-9412028.
PY - 1998/6/15
Y1 - 1998/6/15
N2 - We investigate the effect of tracking errors on the accuracy and stability of Eulerian-Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phase and diffusion) and may lead to the instability of otherwise stable and every accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows.
AB - We investigate the effect of tracking errors on the accuracy and stability of Eulerian-Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phase and diffusion) and may lead to the instability of otherwise stable and every accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows.
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U2 - 10.1016/S0309-1708(97)00022-5
DO - 10.1016/S0309-1708(97)00022-5
M3 - Article
AN - SCOPUS:0032525638
SN - 0309-1708
VL - 21
SP - 539
EP - 554
JO - Advances in Water Resources
JF - Advances in Water Resources
IS - 7
ER -