Rights statement: Copyright 2021 American Institute of Physics. The following article appeared in The journal of Chemical Physics, 154, 2021 and may be found at http://dx.doi.org/10.1063/5.0030175 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Generalized Rotne–Prager–Yamakawa approximation for Brownian dynamics in shear flow in bounded, unbounded, and periodic domains
AU - Cichocki, Bogdan
AU - Szymczak, Piotr
AU - Zuk, Pawel
N1 - Copyright 2021 American Institute of Physics. The following article appeared in The journal of Chemical Physics, 154, 2021 and may be found at http://dx.doi.org/10.1063/5.0030175 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
PY - 2021/3/28
Y1 - 2021/3/28
N2 - Inclusion of hydrodynamic interactions is essential for a quantitatively accurate Brownian dynamics simulation of colloidal suspensions or polymer solutions. We use the generalized Rotne–Prager–Yamakawa (GRPY) approximation, which takes into account all long-ranged terms in the hydrodynamic interactions, to derive the complete set of hydrodynamic matrices in different geometries: unbounded space, periodic boundary conditions of Lees–Edwards type, and vicinity of a free surface. The construction is carried out both for non-overlapping as well as for overlapping particles. We include the dipolar degrees of freedom, which allows one to use this formalism to simulate the dynamics of suspensions in a shear flow and to study the evolution of their rheological properties. Finally, we provide an open-source numerical package, which implements the GRPY algorithm in Lees–Edwards periodic boundary conditions.
AB - Inclusion of hydrodynamic interactions is essential for a quantitatively accurate Brownian dynamics simulation of colloidal suspensions or polymer solutions. We use the generalized Rotne–Prager–Yamakawa (GRPY) approximation, which takes into account all long-ranged terms in the hydrodynamic interactions, to derive the complete set of hydrodynamic matrices in different geometries: unbounded space, periodic boundary conditions of Lees–Edwards type, and vicinity of a free surface. The construction is carried out both for non-overlapping as well as for overlapping particles. We include the dipolar degrees of freedom, which allows one to use this formalism to simulate the dynamics of suspensions in a shear flow and to study the evolution of their rheological properties. Finally, we provide an open-source numerical package, which implements the GRPY algorithm in Lees–Edwards periodic boundary conditions.
U2 - 10.1063/5.0030175
DO - 10.1063/5.0030175
M3 - Journal article
VL - 154
JO - Journal of Chemical Physics
JF - Journal of Chemical Physics
SN - 0021-9606
IS - 12
M1 - 124905
ER -