AN IMMERSED BOUNDARY METHOD FOR DIATOM SEDIMENTATION

被引:0
作者
Tseng, Yu-Hau [1 ]
Huang, Ping [2 ]
Huang, Huaxiong [3 ]
机构
[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 81148, Taiwan
[2] UHN, Decis Support, 525 Univ Ave, Toronto, ON M5G 2L3, Canada
[3] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Diatom sedimentation; hydrodynamic interaction; immersed boundary method; INTERFACIAL FLOWS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:220 / 229
页数:10
相关论文
共 16 条
[1]  
[Anonymous], 2003, GLOBALLAST MONOGRAPH
[2]  
Cassie V., 1959, TUATARA, V7
[3]  
Castro P., 2005, Marine Biology, V5th, P312
[4]   BIOLOGICAL PHYSICAL INTERACTIONS IN THE UPPER OCEAN - THE ROLE OF VERTICAL AND SMALL-SCALE TRANSPORT PROCESSES [J].
DENMAN, KL ;
GARGETT, AE .
ANNUAL REVIEW OF FLUID MECHANICS, 1995, 27 :225-255
[6]  
Falkowski P.G., 2007, Aquatic Photosynthesis
[7]   PREDICTION OF PHYTOPLANKTON GROWTH IN RESPONSE TO THE FRICTIONAL DECAY OF A WARM-CORE RING [J].
FRANKS, PJS ;
WROBLEWSKI, JS ;
FLIERL, GR .
JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 1986, 91 (C6) :7603-7610
[8]   Sinking rates of phytoplankton filaments orientated at different angles: theory and physical model [J].
Holland, Daryl P. .
JOURNAL OF PLANKTON RESEARCH, 2010, 32 (09) :1327-1336
[9]  
Huang P., 2012, THESIS YORK U
[10]   An immersed boundary method for interfacial flows with insoluble surfactant [J].
Lai, Ming-Chih ;
Tseng, Yu-Hau ;
Huang, Huaxiong .
JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (15) :7279-7293