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Article
Critical assessment of the operator-splitting technique in solving the advection-dispersion-reaction equation: 2. Monod kinetics and coupled transport
Advances in Water Resources
  • Jahangir Morshed
  • Jagath J. Kaluarachchi, Utah State University
Document Type
Article
Publication Date
12-1-1995
DOI
10.1016/0309-1708(95)00002-Z
Abstract
In the first manuscript of this two-part series, the behavior of the inherent time-lag error in the operator-splitting technique has been discussed. However, the discussion has been limited to the advection-dispersion-reaction equation with first-order kinetics. In this manuscript, the discussion is extended to address the applicability of the operator-splitting technique in solving the advection-dispersion-reaction equation with Monod kinetics. The discussion also considers the two-species coupled transport problem. The results of the analysis show that the behavior of the time-lag error causing a mass balance error is rather similar to those observed with first-order kinetics. The time-lag error directly depends on the reaction rate, and hence, affects the oxygen equation due to the high rate of oxygen consumption. Also, the alternate operator-splitting scheme shows a greater accuracy compared to the normal operator-splitting technique. Upon observing such similarities, a concept of equivalent first-order reaction rate is derived. The equivalent reaction rate has been found to be extremely useful for predicting the time-lag error of the single- and two-species mass transport with Monod kinetics using the result of the first-order reaction problems obtained in the first manuscript.
Citation Information
Jahangir Morshed and Jagath J. Kaluarachchi. "Critical assessment of the operator-splitting technique in solving the advection-dispersion-reaction equation: 2. Monod kinetics and coupled transport" Advances in Water Resources Vol. 18 Iss. 2 (1995) p. 101 - 110
Available at: http://works.bepress.com/jagath-kaluarachchi/172/