Preprint 2011-14
Raimund Bürger, Stefan Diehl, Sebastian Farås, Ingmar Nopens:
Simulation of the secondary settling process with reliable numerical methods
Abstract:
A consistent model for the settling-compression-dispersion process in the secondary settling tank (SST) can be expressed as a partial differential equation (PDE). Reliable numerical methods for simulation produce approximate solutions that converge to the physically relevant solution of the PDE as the discretization is refined. We focus on two methods and assess their performance via simulations for two scenarios. One method is provably convergent and is used as a reference method. The other method is less efficient in reducing numerical errors, but faster and more easily implemented.
This preprint gave rise to the following definitive publication(s):
Raimund BüRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS, Elena TORFS: A reliable numerical method for secondary settling modelling. Communications in Agricultural and Applied Biological Sciences, vol. 77, 1, pp. 151-156, (2012).
This preprint gave origin to the following article in procedure:
Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS: Simulation of the secondary settling process with reliable numerical methods. , Proceedings of the 8th IWA Symposium on Systems Analysis and Integrated Assessment (WATERMATEX 2011), 19-22 June 2011, San Sebastián, Spain. International Water Association (IWA), London, UK, Volume I, 21-28 (2011)