Chromodynamic multirelaxation-time lattice Boltzmann scheme for fluids with density difference

Spendlove, James; Xu, Xu; Halliday, Oliver; Schenkel, Torsten; Halliday, Ian

doi:10.1103/physreve.102.013309

Cited by 5 publications

(3 citation statements)

References 44 publications

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“…This feature results in different sound speeds being defined for both phases. From the pressure balance p r = p b in the interface region, we obtain the following relationship between the density ratio and speed of sound [21,51,92,94]:…”

Section: A Model Descriptionmentioning

confidence: 99%

AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

et al. 2019

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We investigated the spectral properties of electromagnetic (EM) enhancement of one-dimensional hotspots (1D HSs) generated between silver nanowire (NW) dimers.The EM enhancement spectra were directly derived by dividing the spectra of ultrafast surface-enhanced fluorescence (UFSEF) from single NW dimers with UFSEF obtained from large nanoparticle aggregates, which aggregate-by-aggregate variations in the UFSEF spectra were averaged out. Some NW dimers were found to exhibit EM enhancement spectra that deviated from the plasmon resonance Rayleigh scattering spectra, indicating that their EM enhancement was not generated by superradiant plasmons. These experimental results were examined by numerical calculation based on the EM mechanism by varying the morphology of the NW dimers. The calculations reproduced the spectral deviations as the NW diameter dependence of EM enhancement.Phase analysis of the enhanced EM near fields along the 1D HSs revealed that the dipole-quadrupole coupled plasmon, which is a subradiant mode, mainly generates EM enhancement for dimers with NW diameters larger than ~80 nm, which was consistent with scanning electron microscopic measurements.

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Section: A Model Descriptionmentioning

confidence: 99%

AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

et al. 2019

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“…We have addressed verification of physical content, based upon steady state and dynamical data on single RBC deformation [14]. The model was shown to be a promising tool, practically and theoretically, its foundations (kinematics and dy-namics) being carefully constructed from prior art [15][16][17]. Its intended advantages are: (i) a single framework foundation within cMCLBM, carrying an automatic two-way coupled fluid-structure interaction; and (ii) mathematical transparency of physical content.…”

Section: Introductionmentioning

confidence: 99%

Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles

Spendlove¹,

Xu²,

Schenkel³

et al. 2023

CICP

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Recently, we have validated a three-dimensional, single framework multicomponent lattice Boltzmann method, modified to generate vesicles (rather than drops) ["Three-dimensional single framework multicomponent lattice Boltzmann equation method for vesicle hydrodynamics," Phys. Fluids 33, 077110 (2021)]. This approach implements an immersed boundary force distribution, characterised by bending rigidity, surface tension, preferred curvature and conserved membrane area, in which work we successfully validated isolated vesicle flows against other methodologies and experiment. Like most immersed boundary algorithms, our method relies on numerical computation of high-order spatial derivatives and an intricate body force density. The next step is to verify that it has sufficient numerical stability to address the anticipated application of high volume fraction flows of highly deformable objects in intimate interaction. It is this in silico verification -of both the class of fluid object attainable and the stability of the later in strong, straining and shearing flows which is at issue, here. We extend our method to simulate multiple variously deflated vesicles and multiple liquid droplets still within a single framework, from which our fluid objects emerge as particular parameterisations. We present data from simulations containing up to four vesicles (five immiscible fluid species), which threshold verifies that simulations containing unlimited fluid objects are possible ["Modeling the flow of dense suspensions of deformable particles in three dimensions," Phys. Rev. E 75, 066707 (2007)]. These

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“…In its original form, chromo-dynamic MCLBE does not allow for a density contrast between immiscible fluids. Density-difference MCLBE methods of the chromo-dynamic class, based on multi-relaxation time (MRT) collision schemes, due to Ba et al [17], Liu et al [19], Wen et al [20] and Spendlove et al [21] have been developed and benchmarked, in applications such as the evolution of three-dimensional (3D) convective instabilities [17] and, recently, by careful comparisons with theoretical predictions in two-dimension (2D) with restricted symmetry [21,24]. While this previous work certainly confirms the utility of the method, questions relating to its fundamental physical accuracy remain.…”

Section: Introductionmentioning

confidence: 99%

Chromo-dynamic multi-component lattice Boltzmann equation scheme for axial symmetry

Spendlove

Schenkel

et al. 2020

J. Phys. A: Math. Theor.

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We validate the chromo-dynamic multi-component lattice Boltzmann equation (MCLBE) simulation for immiscible fluids with a density contrast against analytical results for complex flow geometries, with particular emphasis on the fundamentals of the method, i.e. compliance with inter-facial boundary conditions of continuum hydrodynamics. To achieve the necessary regimes for the chosen validations, we develop, from a three-dimensional, axially-symmetric flow formulation, a novel, two-dimensional, pseudo Cartesian, MCLBE scheme. This requires the inclusion in lattice Boltzmann methodology of a continuously distributed source and a velocity-dependent force density (here, the metric force terms of the cylindrical Navier–Stokes equations). Specifically, we apply our model to the problem of flow past a spherical liquid drop in Re = 0, Ca regime and, also, flow past a lightly deformed drop. The resulting simulation data, once corrected for the simulation’s inter-facial micro-current (using a method we also advance herein, based on freezing the phase field) show good agreement with theory over a small range of density contrasts. In particular, our data extend verified compliance with the kinematic condition from flat (Burgin et al 2019 Phys. Rev. E 100 043310) to the case of curved fluid–fluid interfaces. More generally, our results indicate a route to eliminate the influence of the inter-facial micro-current.

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Chromodynamic multirelaxation-time lattice Boltzmann scheme for fluids with density difference

Cited by 5 publications

References 44 publications

AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles

Chromo-dynamic multi-component lattice Boltzmann equation scheme for axial symmetry

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