Limit Consistency of Lattice Boltzmann Equations

Simonis, Stephan; Krause, Mathias J.

doi:10.48550/arxiv.2208.06867

Cited by 2 publications

(3 citation statements)

References 37 publications

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“…As such, we use ( 6) to approximate the conservative variables in the NSE ( 1) and ( 2). Formal Chapman-Enskog expansions are given in [20] and limit consistency is proven force-free in [34]. Both establish the relation…”

Section: Methodsmentioning

confidence: 75%

Binary fluid flow simulations with free energy lattice Boltzmann methods

Simonis¹,

Nguyen²,

Avis³

et al. 2024

DCDS-S

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We use free energy lattice Boltzmann methods to simulate shear and extensional flows of a binary fluid in two and three dimensions. To this end, two classical configurations are digitally twinned, namely a parallel-band device for binary shear flow and a four-roller apparatus for binary extensional flow. The free energy lattice Boltzmann method and the test cases are implemented in the open-source parallel C++ framework OpenLB and evaluated for several non-dimensional numbers. Characteristic deformations are captured, where breakup mechanisms occur for critical capillary regimes. Though the known mass leakage for small droplet-domain ratios and large Cahn numbers is observed, suitable mesh sizes show good agreement to analytical predictions and reference results.

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Section: Methodsmentioning

confidence: 75%

Binary fluid flow simulations with free energy lattice Boltzmann methods

Simonis¹,

Nguyen²,

Avis³

et al. 2024

DCDS-S

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show abstract

“…with fluid velocity u, density ρ, pressure p, and kinematic viscosity ν. Equation ( 4) is approximated with LBM [32] and implemented in the parallel, open-source C++ framework, OpenLB [35,36]. To account for the turbulence, a large-eddy simulation model replaces the viscosity ν in (4) with a local effective viscosity that additionally models the non-resolved scales [19] through a Smagorinsky-Lilly approach.…”

Section: Fluid Flow Regime and Lagrangian Particlesmentioning

confidence: 99%

“…In previous works by Mink et al [16][17][18], the light transport simulation based on the lattice Boltzmann method (LBM) was extended, validated, and applied to efficiently predict light distribution in PBR. As an alternative approximation technique in CFD, an LBM simulation has a particular strength in multiphysics applications [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], and is a suitable framework for the development of a computational model for algae trajectories (Lagrange-Lagrange) and mass transfer (Euler-Lagrange). In addition, LBM brings forth almost perfect parallelizability, which allows highly scalable simulations on high-performance computing machinery.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges

et al. 2022

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The design and optimization of photobioreactor(s) (PBR) benefit from the development of robust and quantitatively accurate computational fluid dynamics (CFD) models, which incorporate the complex interplay of fundamental phenomena. In the present work, we propose a comprehensive computational model for tubular photobioreactors equipped with glass sponges. The simulation model requires a minimum of at least three submodels for hydrodynamics, light supply, and biomass kinetics, respectively. First, by modeling the hydrodynamics, the light–dark cycles can be detected and the mixing characteristics of the flow (besides the mass transport) can be analyzed. Second, the radiative transport model is deployed to predict the local light intensities according to the wavelength of the light and scattering characteristics of the culture. The third submodel implements the biomass growth kinetic by coupling the local light intensities to hydrodynamic information of the CO2 concentration, which allows to predict the algal growth. In combination, the novel mesoscopic simulation model is applied to a tubular PBR with transparent walls and an internal sponge structure. We showcase the coupled simulation results and validate specific submodel outcomes by comparing the experiments. The overall flow velocity, light distribution, and light intensities for individual algae trajectories are extracted and discussed. Conclusively, such insights into complex hydrodynamics and homogeneous illumination are very promising for CFD-based optimization of PBR.

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Limit Consistency of Lattice Boltzmann Equations

Cited by 2 publications

References 37 publications

Binary fluid flow simulations with free energy lattice Boltzmann methods

Binary fluid flow simulations with free energy lattice Boltzmann methods

Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges

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