The lattice Boltzmann method for nearly incompressible flows
From MaRDI portal
Publication:2128376
DOI10.1016/j.jcp.2020.109713OpenAlexW3099954861MaRDI QIDQ2128376
Li-Shi Luo, Manfred Krafczyk, Pierre Lallemand, Wen-An Yong
Publication date: 21 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109713
stabilityconvergenceboundary conditionslattice Boltzmann equationlocal analysis and equivalent equationsnearly incompressible Navier-Stokes equations
Basic methods in fluid mechanics (76Mxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)
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Uses Software
Cites Work
- Lattice Boltzmann simulations of a time-dependent natural convection problem
- On rotational invariance of lattice Boltzmann schemes
- Lattice Boltzmann phase-field modeling of thermocapillary flows in a confined microchannel
- Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices
- A lattice Boltzmann-Immersed Boundary method to simulate the fluid interaction with moving and slender flexible objects
- Multigrid lattice Boltzmann method for accelerated solution of elliptic equations
- A second-order accurate immersed boundary-lattice Boltzmann method for particle-laden flows
- Truncation errors and the rotational invariance of three-dimensional lattice models in the lattice Boltzmann method
- Lattice-Boltzmann simulations of the thermally driven 2D square cavity at high Rayleigh numbers
- An interpretation and derivation of the lattice Boltzmann method using strang splitting
- Lattice Boltzmann simulations of thermal convective flows in two dimensions
- Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation
- Comparison of the lattice Boltzmann and pseudo-spectral methods for decaying turbulence: low-order statistics
- Link-wise artificial compressibility method
- Linear lattice Boltzmann schemes for acoustic: parameter choices and isotropy properties
- A spectral difference lattice Boltzmann method for solution of inviscid compressible flows on structured grids
- Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics
- The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems
- Phase-field modeling droplet dynamics with soluble surfactants
- Optimal stability of advection-diffusion lattice Boltzmann models with two relaxation times for positive/negative equilibrium
- Quartic parameters for acoustic applications of lattice Boltzmann scheme
- An efficient immersed boundary-lattice Boltzmann method for the hydrodynamic interaction of elastic filaments
- Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
- Lattice kinetic schemes for magnetohydrodynamics
- Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
- Lattice Boltzmann model approximated with finite difference expressions
- Topology optimization using the lattice Boltzmann method incorporating level set boundary expressions
- Interaction of fluid interfaces with immersed solid particles using the lattice Boltzmann method for liquid-gas-particle systems
- Truncation effect on Taylor-Aris dispersion in lattice Boltzmann schemes: accuracy towards stability
- Boundary value problems in kinetic theory of gases
- Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function
- Nonexistence of \(H\) theorem for some lattice Boltzmann models
- Lattice Boltzmann simulation of shear-thinning fluids
- Artificial compressibility method revisited: asymptotic numerical method for incompressible Navier-Stokes equations
- Molecular gas dynamics. Theory, techniques, and applications.
- Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
- Lattice Boltzmann modeling with discontinuous collision components: hydrodynamic and advection-diffusion equations
- Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
- On numerical reflected waves in lattice Boltzmann schemes
- Two routes from the Boltzmann equation to compressible flow of polyatomic gases
- A comparative study of immersed-boundary and interpolated bounce-back methods in LBE
- Equivalent partial differential equations of a lattice Boltzmann scheme
- Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers
- Identification of multi-scale coherent eddy structures in a homogeneous isotropic turbulence
- Viscosity independent numerical errors for lattice Boltzmann models: from recurrence equations to ``magic collision numbers
- Connection between kinetic methods for fluid-dynamic equations and macroscopic finite-difference schemes
- An Onsager-like relation for the lattice Boltzmann method
- Towards perfectly matching layers for lattice Boltzmann equation
- A numerical model for the Boltzmann equation with applications to micro flows
- On a superconvergent lattice Boltzmann boundary scheme
- Toward advanced subgrid models for lattice-Boltzmann-based large-eddy simulation: theoretical formulations
- New model and scheme for compressible fluids of the finite difference lattice Boltzmann method and direct simulations of aerodynamic sound
- Hydrodynamic limits of the Boltzmann equation
- Lattice Boltzmann modeling of microchannel flow in slip flow regime
- Third order equivalent equation of lattice Boltzmann scheme
- Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics
- Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains
- Lattice Boltzmann method with selective viscosity filter
- Application of spectral forcing in lattice-Boltzmann simulations of homogeneous turbulence
- Multigrid solution of the steady-state lattice Boltzmann equation
- An upwind discretization scheme for the finite volume lattice Boltzmann method
- Variably saturated flow described with the anisotropic lattice Boltzmann methods
- Consistent initial conditions for lattice Boltzmann simulations
- An evaluation of lattice Boltzmann schemes for porous medium flow simulation
- Lattice kinetic simulations of 3-D MHD turbulence
- LES of turbulent square jet flow using an MRT lattice Boltzmann model
- Calculation of sound generation and radiation from instationary flows
- Cellular automaton fluids. I: Basic theory
- A new contribution to nonlinear stability of a discrete velocity model
- The Boltzmann equation and its applications
- A novel thermal model for the lattice Boltzmann method in incompressible limit
- Relaxation scheme for a lattice-Boltzmann-type discrete velocity model and numerical Navier-Stokes limit
- A hydrodynamical correct thermal lattice Boltzmann model
- Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model
- Lattice Boltzmann model for the incompressible Navier-Stokes equation
- Grid refinement for lattice-BGK models
- Kinetic schemes in the case of low Mach numbers
- A method for near-equilibrium discrete-velocity gas flows
- The mathematical theory of dilute gases
- Performance of under-resolved two-dimensional incompressible flow simulations. II
- An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
- Simulations of compressible flows with strong shocks by an adaptive lattice Boltzmann model
- Some recent results on discrete velocity models and ramifications for lattice Boltzmann equation
- Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
- Approximation of the Boltzmann equation by discrete velocity models.
- Local second-order boundary methods for lattice Boltzmann models.
- On the construction of kinetic schemes
- Lateral migration and orientation of elliptical particles in Poiseuille flows
- Lattice-Boltzmann simulations of fluid flows in MEMS
- A multi-speed compressible lattice-Boltzmann model
- A multigrid-solver for the discrete Boltzmann equation
- Efficient GPGPU implementation of a lattice Boltzmann model for multiphase flows with high density ratios
- Anisotropic thermal lattice Boltzmann simulation of 2D natural convection in a square cavity
- Comparative study of discrete velocity method and high-order lattice Boltzmann method for simulation of rarefied flows
- Aeroacoustic study of an axial engine cooling module using lattice-Boltzmann simulations and the Ffowcs Williams and Hawkings' analogy
- A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades
- Normal, high order discrete velocity models of the Boltzmann equation
- Kinetic derivation of a finite difference scheme for the incompressible Navier-Stokes equations
- Kinetic theory and fluid dynamics
- Lattice Boltzmann method for moving boundaries.
- A Multigrid Tutorial, Second Edition
- Discretizations for the Incompressible Navier--Stokes Equations Based on the Lattice Boltzmann Method
- Multiple–relaxation–time lattice Boltzmann models in three dimensions
- Lattice Boltzmann simulations of binary fluid flow through porous media
- Truncation Errors, Exact And Heuristic Stability Analysis Of Two-Relaxation-Times Lattice Boltzmann Schemes For Anisotropic Advection-Diffusion Equation
- The Lattice Boltzmann Equation
- Rotational and orientational behaviour of three-dimensional spheroidal particles in Couette flows
- Rheology of suspensions with high particle inertia and moderate fluid inertia
- Fully resolved simulations of colliding monodisperse spheres in forced isotropic turbulence
- Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
- Kinetic models for gas-surface interactions
- The transition from steady to weakly turbulent flow in a close-packed ordered array of spheres
- A coupled lattice BGK model for the Boussinesq equations
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Comparison of spectral method and lattice Boltzmann simulations of two-dimensional hydrodynamics
- Tracking interface and common curve dynamics for two-fluid flow in porous media
- Jet-installation noise and near-field characteristics of jet–surface interaction
- Modelling double emulsion formation in planar flow-focusing microchannels
- Simulation of sedimentation of two spheres with different densities in a square tube
- Solute transport and reaction in porous electrodes at high Schmidt numbers
- WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows
- Relationship between temporal and spatial averages in grid turbulence
- Lattice Boltzmann Formulation for Linear Viscoelastic Fluids Using an Abstract Second Stress
- Characteristics of two-dimensional flow around a rotating circular cylinder near a plane wall
- On the cubic velocity deviations in lattice Boltzmann methods
- The mechanics of cilium beating: quantifying the relationship between metachronal wavelength and fluid flow rate
- A Hermite-based lattice Boltzmann model with artificial viscosity for compressible viscous flows
- Advanced large-eddy simulation for lattice Boltzmann methods: The approximate deconvolution model
- Spectral Methods in Chemistry and Physics
- Lattice Boltzmann simulations of pressure-driven flows in microchannels using Navier–Maxwell slip boundary conditions
- Asymptotic Analysis of the Lattice Boltzmann Method for Generalized Newtonian Fluid Flows
- Lattice-Boltzmann simulation of grid-generated turbulence
- The Lattice Boltzmann Method
- Inertial consistent subgrid model for large-eddy simulation based on the lattice Boltzmann method
- A study of time correlations in lattice Boltzmann-based large-eddy simulation of isotropic turbulence
- Insect normal hovering flight in ground effect
- Motion of a vortex ring in a simple shear flow
- Drag on random assemblies of spheres in shear-thinning and thixotropic liquids
- Transport equation for the mean turbulent energy dissipation rate in low- grid turbulence
- Shape Recovery of Elastic Capsules from Shear Flow Induced Deformation
- A Finite-Difference Lattice Boltzmann Approach for Gas Microflows
- Computational Modeling of Membrane Viscosity of Red Blood Cells
- Comparison of Simulations of Convective Flows
- On Initial Conditions for the Lattice Boltzmann Method
- Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes
- Globally Hyperbolic Regularization of Grad's Moment System
- Heat transfer across sheared suspensions: role of the shear-induced diffusion
- Dynamics of an acoustically levitated particle using the lattice Boltzmann method
- De‐aliasing and stabilization formalism of the cascaded lattice Boltzmann automaton for under‐resolved high Reynolds number flow
- A Stability Notion for Lattice Boltzmann Equations
- Interaction and collisions between particles in a linear shear flow near a wall at low Reynolds number
- Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
- Bubbles in a viscous liquid: lattice Boltzmann simulation and experimental validation
- On the Construction and Comparison of Difference Schemes
- Kinetic Modeling of Gas Mixtures
- Shock Structure in a Simple Discrete Velocity Gas
- Lattice Boltzmann methods for modeling microscale flow in fibrous porous media
- Note on N‐dimensional hermite polynomials
- On the kinetic theory of rarefied gases
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Linear integral equations
- Lattice Gas Hydrodynamics
- A Cartesian cut cell method for incompressible viscous flow
- Lattice-Boltzmann simulations of particle-fluid suspensions.
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- Lattice-gas cellular automata and lattice Boltzmann models. An introduction
- Analysis of the lattice Boltzmann treatment of hydrodynamics
- On anti bounce back boundary condition for lattice Boltzmann schemes
- A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows
- The cumulant lattice Boltzmann equation in three dimensions: theory and validation
- A cut-cell method for sharp moving boundaries in Cartesian grids
- Lattice Boltzmann equation with overset method for moving objects in two-dimensional flows
- Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes
- A conservation-moment-based implicit finite volume lattice Boltzmann method for steady nearly incompressible flows
- Lattice Boltzmann simulation for high-speed compressible viscous flows with a boundary layer
- Conservative phase-field lattice-Boltzmann model for ternary fluids
- A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method. I: Laminar flows
- A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method. II: Turbulent flows
- Efficient 3D DNS of gas-solid flows on Fermi GPGPU
- A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convection
- Lattice Boltzmann simulation of gas-solid adsorption processes at pore scale level
- An immersed boundary-lattice Boltzmann method for single- and multi-component fluid flows
- A mass-conserving lattice Boltzmann method with dynamic grid refinement for immiscible two-phase flows
- Lattice Boltzmann models based on half-range Gauss-Hermite quadratures
- Lattice Boltzmann magnetohydrodynamics with current-dependent resistivity
- A lattice Boltzmann front-tracking method for interface dynamics with surface tension in two dimensions
- A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
- DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method
- Heat transfer in lattice BGK modeled fluid
- An Euler solver based on locally adaptive discrete velocities
- Stabilization of thermal lattice Boltzmann models
- Simulation of two-dimensional decaying turbulence using the ``incompressible extensions of the lattice Boltzmann method
- On hyperbolicity of 13-moment system
- Asymptotic analysis of the lattice Boltzmann equation
- Simple derivation of high-resolution schemes for compressible flows by kinetic approach
- Stability analysis of a class of globally hyperbolic moment system
- Turbulent jet computations based on MRT and cascaded lattice Boltzmann models
- A semi-implicit lattice method for simulating flow
- Nested Cartesian grid method in incompressible viscous fluid flow
- A finite difference interpretation of the lattice Boltzmann method
- The first effects of fluid inertia on flows in ordered and random arrays of spheres
- Moderate-Reynolds-number flows in ordered and random arrays of spheres
- Law of the wall in an unstably stratified turbulent channel flow
- Lattice Boltzmann simulations of low-Reynolds-number flow past fluidized spheres: effect of Stokes number on drag force
- Force and power of flapping plates in a fluid
- An Introduction to Fluid Mechanics
- The rheology and microstructure of concentrated non-colloidal suspensions of deformable capsules
- On the anisotropy of a low-Reynolds-number grid turbulence
- A Framework on Moment Model Reduction for Kinetic Equation
- Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions
- Lattice-Boltzmann Method for Complex Flows
- A DISCRETE BOLTZMANN EQUATION BASED ON HEXAGONS
- Lattice Boltzmann method for direct numerical simulation of turbulent flows
- Locomotion of a passively flapping flat plate
- Numerical study of a vortex ring impacting a flat wall
- A numerical study of the effect of fibre stiffness on the rheology of sheared flexible fibre suspensions
- Entropy and Galilean Invariance of Lattice Boltzmann Theories
- Direct simulation of fluid flow with cellular automata and the lattice-Boltzmann equation
- Numerical study of rotational diffusion in sheared semidilute fibre suspension
- Rotation of spheroidal particles in Couette flows
- Kinetic Theory of Linear Shear Flow
- Kinetic Models and the Linearized Boltzmann Equation
- Towards higher order lattice Boltzmann schemes
- Noise reduction mechanisms of an open-cell metal-foam trailing edge
- The immersed boundary method
- Numerical investigation of laminar mixing in a coaxial microreactor
- A second-order accurate lattice Boltzmann non-Newtonian flow model
- Direct numerical simulations of homogeneous turbulence subject to periodic shear
- A Fully Implicit Method for Lattice Boltzmann Equations
- Drag reduction by flow separation control on a car after body
- PROPERTIES OF THE CASCADED LATTICE BOLTZMANN AUTOMATON
- Pore-scale simulation of dispersion
- Momentum transfer of a Boltzmann-lattice fluid with boundaries
- An extrapolation method for boundary conditions in lattice Boltzmann method
- Transitions in rotations of a nonspherical particle in a three-dimensional moderate Reynolds number Couette flow
- Near-field turbulent simulations of rectangular jets using lattice Boltzmann method
- Direct simulation of Aeolian tones emitted from a circular cylinder in transonic flows using the finite difference lattice Boltzmann method
- Weighted $\mathbb{L}^2$-Stability of the Lattice Boltzmann Method
- Merging of shielded Gaussian vortices and formation of a tripole at low Reynolds numbers
- Homogeneity of turbulence generated by static-grid structures
- Lattice BGK Models for Navier-Stokes Equation
- Simulating deformable particle suspensions using a coupled lattice-Boltzmann and finite-element method
- Lattice-Gas Cellular Automata
- Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation
- Convergence d'un modèle à vitesses discrètes pour l'équation de Boltzmann-BGK
- Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
- Moderate-Reynolds-number flow in a wall-bounded porous medium
- A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
- Moderate Reynolds number flows through periodic and random arrays of aligned cylinders
