On the role of tracking on Eulerian-Lagrangian solutions of the transport equation

Anabela Oliveira, António M. Baptista

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)539-554
Number of pages16
JournalAdvances in Water Resources
Volume21
Issue number7
DOIs
StatePublished - Jun 15 1998

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ASJC Scopus subject areas

  • Water Science and Technology

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