### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 155-162 |

Number of pages | 8 |

Journal | Water Science and Technology |

Volume | 49 |

Issue number | 11-12 |

State | Published - 2004 |

Externally published | Yes |

### Fingerprint

### Keywords

- Benchmark problem
- Biofilm architecture
- Biofilm model
- Hydrodynamics
- Mass transfer
- Physical complexity

### ASJC Scopus subject areas

- Water Science and Technology

### Cite this

*Water Science and Technology*,

*49*(11-12), 155-162.

**Modelling a spatially heterogeneous biofilm and the bulk fluid : Selected results from benchmark problem 2 (BM2).** / Eberl, H. J.; van Loosdrecht, Mark C M; Morgenroth, E.; Noguera, D. R.; Perez, Julio; Picioreanu, C.; Rittmann, Bruce; Schwarz, A. O.; Wanner, O.

Research output: Contribution to journal › Article

*Water Science and Technology*, vol. 49, no. 11-12, pp. 155-162.

}

TY - JOUR

T1 - Modelling a spatially heterogeneous biofilm and the bulk fluid

T2 - Selected results from benchmark problem 2 (BM2)

AU - Eberl, H. J.

AU - van Loosdrecht, Mark C M

AU - Morgenroth, E.

AU - Noguera, D. R.

AU - Perez, Julio

AU - Picioreanu, C.

AU - Rittmann, Bruce

AU - Schwarz, A. O.

AU - Wanner, O.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Benchmark problem

KW - Biofilm architecture

KW - Biofilm model

KW - Hydrodynamics

KW - Mass transfer

KW - Physical complexity

UR - http://www.scopus.com/inward/record.url?scp=4344581571&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4344581571&partnerID=8YFLogxK

M3 - Article

C2 - 15303736

AN - SCOPUS:4344581571

VL - 49

SP - 155

EP - 162

JO - Water Science and Technology

JF - Water Science and Technology

SN - 0273-1223

IS - 11-12

ER -