Hydrodynamic interaction in Lattice Fokker Planck for dilute polymer dynamics
Abstract
We extend the BGK-type kinetic model for polymer dumbbells and its lattice Boltzmann implementation by incorporating hydrodynamic interaction (HI) effects to accurately recover the slow-variable dynamics governed by the Smoluchowski equation. Unlike Brownian dynamics approaches, which demand the computationally expensive evaluation of the square root of the configuration-dependent diffusion tensor at every time step, this kinetic method is straightforward to implement and avoids such overhead entirely. Consequently, it achieves a significant reduction in computational cost. We validate the model in steady and transient shear flows, demonstrating its ability to capture the distinct signatures of hydrodynamic interactions on bulk rheological properties.
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BibTeX
@misc{singh2026hydrodynamic,
title = {{Hydrodynamic interaction in Lattice Fokker Planck for dilute polymer dynamics}},
author = {Shiwani Singh and Santosh Ansumali},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08205},
eprint = {2611.08205},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08205},
}
RIS
TY - UNPB
TI - Hydrodynamic interaction in Lattice Fokker Planck for dilute polymer dynamics
AU - Shiwani Singh
AU - Santosh Ansumali
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.08205
UR - https://arxiv.org/abs/2611.08205
AB - We extend the BGK-type kinetic model for polymer dumbbells and its lattice Boltzmann implementation by incorporating hydrodynamic interaction (HI) effects to accurately recover the slow-variable dynamics governed by the Smoluchowski equation. Unlike Brownian dynamics approaches, which demand the computationally expensive evaluation of the square root of the configuration-dependent diffusion tensor at every time step, this kinetic method is straightforward to implement and avoids such overhead entirely. Consequently, it achieves a significant reduction in computational cost. We validate the model in steady and transient shear flows, demonstrating its ability to capture the distinct signatures of hydrodynamic interactions on bulk rheological properties.
ER -