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Volume 13, Issue 2
An Immersed Boundary Method for Diatom Sedimentation

Y.-H. Tseng, P. Huang & H.-X. Huang

Int. J. Numer. Anal. Mod., 13 (2016), pp. 220-229.

Published online: 2016-03

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  • Abstract

We propose a mathematical model and immersed boundary method for the growth and breakup of diatom chains. Diatom chains are treated as zero thickness open curves thanks to their small aspect ratio. The growth of the chain is modelled by adding small pieces of diatoms at the two end points while the breakup is done by removing a small piece in the middle of the chain. Numerical experiments are carried out to investigate the effects of growth and breakup on the sedimentation rate of diatom chains. Simulations of multiple diatom chains show that sedimentation rate is highly dependent on diatoms' spatial distribution. The results can be used to explain the observations that diatoms often form chain-like structures in natural habitats.

  • Keywords

Diatom sedimentation, hydrodynamic interaction, immersed boundary method.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-13-220, author = {Y.-H. Tseng, P. Huang and H.-X. Huang}, title = {An Immersed Boundary Method for Diatom Sedimentation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2016}, volume = {13}, number = {2}, pages = {220--229}, abstract = {

We propose a mathematical model and immersed boundary method for the growth and breakup of diatom chains. Diatom chains are treated as zero thickness open curves thanks to their small aspect ratio. The growth of the chain is modelled by adding small pieces of diatoms at the two end points while the breakup is done by removing a small piece in the middle of the chain. Numerical experiments are carried out to investigate the effects of growth and breakup on the sedimentation rate of diatom chains. Simulations of multiple diatom chains show that sedimentation rate is highly dependent on diatoms' spatial distribution. The results can be used to explain the observations that diatoms often form chain-like structures in natural habitats.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/435.html} }
TY - JOUR T1 - An Immersed Boundary Method for Diatom Sedimentation AU - Y.-H. Tseng, P. Huang & H.-X. Huang JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 220 EP - 229 PY - 2016 DA - 2016/03 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/435.html KW - Diatom sedimentation, hydrodynamic interaction, immersed boundary method. AB -

We propose a mathematical model and immersed boundary method for the growth and breakup of diatom chains. Diatom chains are treated as zero thickness open curves thanks to their small aspect ratio. The growth of the chain is modelled by adding small pieces of diatoms at the two end points while the breakup is done by removing a small piece in the middle of the chain. Numerical experiments are carried out to investigate the effects of growth and breakup on the sedimentation rate of diatom chains. Simulations of multiple diatom chains show that sedimentation rate is highly dependent on diatoms' spatial distribution. The results can be used to explain the observations that diatoms often form chain-like structures in natural habitats.

Y.-H. Tseng, P. Huang and H.-X. Huang. (2016). An Immersed Boundary Method for Diatom Sedimentation. International Journal of Numerical Analysis and Modeling. 13 (2). 220-229. doi:
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