2022
DOI: 10.1002/nme.7116
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Development of smoothed particle hydrodynamics method for modeling active nematics

Abstract: This article proposes a novel graphics processing unit‐based active nematic flow solver based on the smoothed particle hydrodynamics (SPH) method. Nematohydrodynamics equations are discretized using the SPH algorithm. Flow behavior, nematic ordering, topological defects, and vorticity correlation are calculated and discussed in detail. The spectrum of the kinetic energy with respect to the wavenumber is calculated at high particle resolution, and its slope at the different length scales is discussed. To exploi… Show more

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Cited by 5 publications
(4 citation statements)
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“…54 With time, the nematic orientation gradually changes owing to activity-induced bulk instabilities, and subsequently, an active turbulent flow appears. 49 It takes 1 Â 10 5 steps to stabilize the evolution of the flow field, after which we begin recording the motion information of the particles. Following this initial period, we are able to capture the characteristics of turbulence and compute the kinetic spectrum for the active flows.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…54 With time, the nematic orientation gradually changes owing to activity-induced bulk instabilities, and subsequently, an active turbulent flow appears. 49 It takes 1 Â 10 5 steps to stabilize the evolution of the flow field, after which we begin recording the motion information of the particles. Following this initial period, we are able to capture the characteristics of turbulence and compute the kinetic spectrum for the active flows.…”
Section: Resultsmentioning
confidence: 99%
“…Notably, an active nematic fluid usually falls into the viscous flow regime, wherein the active force dominates the elastic force. 49 Hence, the stress tensor can usually be simplified in the following form:…”
Section: Numerical Modelmentioning
confidence: 99%
“…Here is the generalized nonlinear advection term which is controlled by tumbling parameter (), and stands for the molecular field, which relates the relaxation of to the minimum of the free energy () and it is controlled by the rotational diffusivity (). Free energy, , includes two parts, elastic and bulk free energies, which are regulated by elastic constant () and the coefficient , respectively (Saghatchi, Kolukisa & Yildiz 2022 a ).…”
Section: Methodsmentioning
confidence: 99%
“…Smoothed particle hydrodynamics (SPH) is one of the most widely utilized meshfree computational approaches for modeling diverse physical fluid flow conditions [30][31][32][33][34]. He et al [32] developed a coupled weakly compressible and total Lagrangian SPH (WC-TL SPH) approach to model the interactions of elastic entities with free-surface flows.…”
Section: Introductionmentioning
confidence: 99%