On the role of tracking on Eulerian-Lagragian solutions of the transport equation
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 substantia...
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| Formato: | workingPaper |
| Idioma: | por |
| Publicado em: |
2007
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| Texto completo: | http://repositorio.lnec.pt:8080/jspui/handle/123456789/5834 |
| País: | Portugal |
| Oai: | oai:localhost:123456789/5834 |
| Resumo: | 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 very accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows. Key Words: Transport equation. Eulerian-Lagrangian methods. Tracking methods. Mass conservation. Numerical experimentation. Accuracy |
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