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Modelling a spatially heterogeneous biofilm and the bulk fluid: selected results from Benchmark Problem 2 (BM2).

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Title: Modelling a spatially heterogeneous biofilm and the bulk fluid: selected results from Benchmark Problem 2 (BM2).
Authors: Eberl, H. J.1 heberl@uoguelph.ca, Van Loosdrecht, M. C. M.2 Mark.vanLoosdrecht@tnw.tudelft.nl, Morgenroth, E.3 emorgenr@uiuc.edu, Noguera, D. R.4 noguera@engr.wisc.edu, Perez, J.5 Julio.perez@uab.es, Picioreanu, C.2 C.Picioreanu@tnw.tudelft.nl, Rittmann, B. E.6 b-rittmann@northwestern.edu, Schwarz, A. O.6 aschwarz@northwestern.edu, Wanner, O.7 wanner@eawag.ch
Source: Water Science & Technology. 2004, Vol. 49 Issue 10, p155-162. 8p.
Subjects: Computational hydrodynamics software, Prediction models, Mathematical models, Computer simulation, Fluid dynamics, Biofilms, Partial differential equations, Microbial aggregation, Microbial ecology, Boundary value problems
Abstract: The numerical simulation of mass transfer and conversion in spatially heterogeneous biofilms on the meso-scale requires an accurate description of the hydrodynamics in the biofilm systems and of spatial effects. This leads to systems of three-dimensional nonlinear partial differential equations that are numerically very expensive to solve and to data requirements that are not easy to meet. In this paper several modeling approaches to reduce the physical complexity and, hence, accelerate the computation are compared. They range from a mere reduction of dimensionality by lumping the problem along a secondary flow direction to global mass balances or empirical correlations, at the core of which a one-dimensional boundary value problem must be solved. It is found that even strongly simplified models can describe the qualitative behaviour of the model with regard to variations in the geometrical and hydrodynamic model parameters quite well. In order to obtain also quantitatively reliable results the hydrodynamics must be considered in an appropriate manner. [ABSTRACT FROM AUTHOR]
Copyright of Water Science & Technology is the property of IWA Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Modelling a spatially heterogeneous biofilm and the bulk fluid: selected results from Benchmark Problem 2 (BM2).
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  Data: <searchLink fieldCode="AR" term="%22Eberl%2C+H%2E+J%2E%22">Eberl, H. J.</searchLink><relatesTo>1</relatesTo><i> heberl@uoguelph.ca</i><br /><searchLink fieldCode="AR" term="%22Van+Loosdrecht%2C+M%2E+C%2E+M%2E%22">Van Loosdrecht, M. C. M.</searchLink><relatesTo>2</relatesTo><i> Mark.vanLoosdrecht@tnw.tudelft.nl</i><br /><searchLink fieldCode="AR" term="%22Morgenroth%2C+E%2E%22">Morgenroth, E.</searchLink><relatesTo>3</relatesTo><i> emorgenr@uiuc.edu</i><br /><searchLink fieldCode="AR" term="%22Noguera%2C+D%2E+R%2E%22">Noguera, D. R.</searchLink><relatesTo>4</relatesTo><i> noguera@engr.wisc.edu</i><br /><searchLink fieldCode="AR" term="%22Perez%2C+J%2E%22">Perez, J.</searchLink><relatesTo>5</relatesTo><i> Julio.perez@uab.es</i><br /><searchLink fieldCode="AR" term="%22Picioreanu%2C+C%2E%22">Picioreanu, C.</searchLink><relatesTo>2</relatesTo><i> C.Picioreanu@tnw.tudelft.nl</i><br /><searchLink fieldCode="AR" term="%22Rittmann%2C+B%2E+E%2E%22">Rittmann, B. E.</searchLink><relatesTo>6</relatesTo><i> b-rittmann@northwestern.edu</i><br /><searchLink fieldCode="AR" term="%22Schwarz%2C+A%2E+O%2E%22">Schwarz, A. O.</searchLink><relatesTo>6</relatesTo><i> aschwarz@northwestern.edu</i><br /><searchLink fieldCode="AR" term="%22Wanner%2C+O%2E%22">Wanner, O.</searchLink><relatesTo>7</relatesTo><i> wanner@eawag.ch</i>
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  Data: <searchLink fieldCode="JN" term="%22Water+Science+%26+Technology%22">Water Science & Technology</searchLink>. 2004, Vol. 49 Issue 10, p155-162. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Computational+hydrodynamics+software%22">Computational hydrodynamics software</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+models%22">Prediction models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Biofilms%22">Biofilms</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Microbial+aggregation%22">Microbial aggregation</searchLink><br /><searchLink fieldCode="DE" term="%22Microbial+ecology%22">Microbial ecology</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink>
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  Data: The numerical simulation of mass transfer and conversion in spatially heterogeneous biofilms on the meso-scale requires an accurate description of the hydrodynamics in the biofilm systems and of spatial effects. This leads to systems of three-dimensional nonlinear partial differential equations that are numerically very expensive to solve and to data requirements that are not easy to meet. In this paper several modeling approaches to reduce the physical complexity and, hence, accelerate the computation are compared. They range from a mere reduction of dimensionality by lumping the problem along a secondary flow direction to global mass balances or empirical correlations, at the core of which a one-dimensional boundary value problem must be solved. It is found that even strongly simplified models can describe the qualitative behaviour of the model with regard to variations in the geometrical and hydrodynamic model parameters quite well. In order to obtain also quantitatively reliable results the hydrodynamics must be considered in an appropriate manner. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Water Science & Technology is the property of IWA Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.2166/wst.2004.0829
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      – Code: eng
        Text: English
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        PageCount: 8
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    Subjects:
      – SubjectFull: Computational hydrodynamics software
        Type: general
      – SubjectFull: Prediction models
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      – SubjectFull: Mathematical models
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      – SubjectFull: Computer simulation
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      – SubjectFull: Fluid dynamics
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      – SubjectFull: Biofilms
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      – SubjectFull: Microbial aggregation
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      – SubjectFull: Microbial ecology
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      – SubjectFull: Boundary value problems
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