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Volume 1, Issue 5
Moving Mesh Kinetic Simulation for Sheared Rodlike Polymers with High Potential Intensities

Y. Di & P. Zhang

Commun. Comput. Phys., 1 (2006), pp. 859-873.

Published online: 2006-01

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  • Abstract

The Doi-Hess equation that describes the evolution of an orientational distribution function is capable of predicting several rheological features of nematic polymers. Since the orientational distribution function becomes sharply peaked as potential intensity increases, powerful numerical methods become necessary in the relevant numerical simulations. In this paper, a numerical scheme based on the moving grid techniques will be designed to solve the orientational distribution functions with high potential intensities. Numerical experiments are carried out to demonstrate the effectiveness and robustness of the proposed scheme. 

  • Keywords

Orientational distribution function moving mesh method spherical geometry Smoluchowski equation potential intensity.

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COPYRIGHT: © Global Science Press

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@Article{CiCP-1-859, author = {Y. Di and P. Zhang}, title = {Moving Mesh Kinetic Simulation for Sheared Rodlike Polymers with High Potential Intensities}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {5}, pages = {859--873}, abstract = {

The Doi-Hess equation that describes the evolution of an orientational distribution function is capable of predicting several rheological features of nematic polymers. Since the orientational distribution function becomes sharply peaked as potential intensity increases, powerful numerical methods become necessary in the relevant numerical simulations. In this paper, a numerical scheme based on the moving grid techniques will be designed to solve the orientational distribution functions with high potential intensities. Numerical experiments are carried out to demonstrate the effectiveness and robustness of the proposed scheme. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7983.html} }
TY - JOUR T1 - Moving Mesh Kinetic Simulation for Sheared Rodlike Polymers with High Potential Intensities AU - Y. Di & P. Zhang JO - Communications in Computational Physics VL - 5 SP - 859 EP - 873 PY - 2006 DA - 2006/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7983.html KW - Orientational distribution function KW - moving mesh method KW - spherical geometry KW - Smoluchowski equation KW - potential intensity. AB -

The Doi-Hess equation that describes the evolution of an orientational distribution function is capable of predicting several rheological features of nematic polymers. Since the orientational distribution function becomes sharply peaked as potential intensity increases, powerful numerical methods become necessary in the relevant numerical simulations. In this paper, a numerical scheme based on the moving grid techniques will be designed to solve the orientational distribution functions with high potential intensities. Numerical experiments are carried out to demonstrate the effectiveness and robustness of the proposed scheme. 

Y. Di and P. Zhang. (2006). Moving Mesh Kinetic Simulation for Sheared Rodlike Polymers with High Potential Intensities. Communications in Computational Physics. 1 (5). 859-873. doi:
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