Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

Article Mathematics, Applied

Constructing relaxation systems for lattice Boltzmann methods

Stephan Simonis et al.

Summary: This paper presents the first top-down approach for constructing lattice Boltzmann methods in d dimensions, combining a relaxation system with a discrete velocity Boltzmann model to obtain an LBM with second-order accuracy.

APPLIED MATHEMATICS LETTERS (2023)

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Article Mathematics, Applied

BINARY FLUID FLOW SIMULATIONS WITH FREE ENERGY LATTICE BOLTZMANN METHODS

Stephan Simonis et al.

Summary: In this study, shear and extensional flows of a binary fluid in two and three dimensions are simulated using free energy lattice Boltzmann methods. Two classical configurations, a parallel-band device for binary shear flow and a four-roller apparatus for binary extensional flow, are digitally twinned. 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, including breakup mechanisms occurring for critical capillary regimes. Despite the observed mass leakage for small droplet-domain ratios and large Cahn numbers, suitable mesh sizes show good agreement with analytical predictions and reference results.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S (2023)

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Article Computer Science, Interdisciplinary Applications

Temporal large eddy simulation with lattice Boltzmann methods

Stephan Simonis et al.

Summary: This study provides a preliminary investigation of using lattice Boltzmann methods (LBM) for temporal large eddy simulation (TLES). The temporal direct deconvolution model (TDDM) is used as a closure model for the filtered discrete velocity Boltzmann equation, and the combination of methods is calibrated for decaying homogeneous isotropic turbulence. The numerical results show good agreement with reference results of direct numerical simulation, and the proposed turbulence model improves the accuracy of capturing the peak region of dissipation rate for low and intermediate resolutions.

JOURNAL OF COMPUTATIONAL PHYSICS (2022)

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Article Energy & Fuels

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

Albert Mink et al.

Summary: This study proposes a comprehensive computational model for tubular photobioreactors equipped with glass sponges, incorporating hydrodynamics, light supply, and biomass kinetics. The model helps detect light-dark cycles, analyze flow characteristics, predict light intensities, and simulate algal growth. By considering these factors, the model provides insights for the optimization of photobioreactors using computational fluid dynamics.

ENERGIES (2022)

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Article Construction & Building Technology

Numerical evaluation of thermal comfort using a large eddy lattice Boltzmann method

Marc Siodlaczek et al.

Summary: This paper introduces a new thermal large eddy lattice Boltzmann method for transient turbulence modeling, successfully evaluating thermal comfort and improving the accuracy and model quality of simulations.

BUILDING AND ENVIRONMENT (2021)

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Article Computer Science, Interdisciplinary Applications

Lattice-Boltzmann coupled models for advection-diffusion flow on a wide range of Peclet numbers

Davide Dapelo et al.

Summary: The research proposes two 3D models to overcome numerical instability issues in high-Peclet flows, coupling a Lattice-Boltzmann Navier-Stokes solver with an advection-diffusion model or a finite-difference algorithm. Through improving numerical diffusivity and validation tests, it is shown that the coupled finite-difference/Lattice-Boltzmann model provides stable solutions in the case of infinite Pe and Pe(g).

JOURNAL OF COMPUTATIONAL SCIENCE (2021)

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Article Multidisciplinary Sciences

Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence

Stephan Simonis et al.

Summary: This study investigates the stability of multiple-relaxation-time lattice Boltzmann methods based on orthogonal moments, providing an explicit formulation of stability sets and conducting numerical investigations on various flow conditions. Results suggest that a comprehensive scan over the full wave space is necessary to accurately assess the overall stability of LBM in turbulent flow simulations, and demonstrate a deterministic influence of grid resolution on stability. The findings challenge the notion of linear stability in LBM and highlight the importance of empirical data in understanding the behavior of the method.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)

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Article Physics, Fluids & Plasmas

Fluid-Structure Interaction Simulation of a Coriolis Mass Flowmeter Using a Lattice Boltzmann Method

Marc Haussmann et al.

Summary: This paper utilizes a fluid-structure interaction approach to simulate a Coriolis mass flowmeter, calculating fluid dynamics using the lattice Boltzmann method and structural dynamics using the finite element method. A staggered coupling approach is used to link the two software packages, and the model's accuracy is verified by comparing with measured data.

FLUIDS (2021)

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Article Multidisciplinary Sciences