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Consistency study of Lattice-Boltzmann schemes macroscopic limit

https://doi.org/10.1063/5.0039490
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160020402openalex-snapshot
Note on N ‐dimensional hermite polynomials
inferredcites →https://doi.org/10.1002/cpa.3160020403openalex-snapshot
On the kinetic theory of rarefied gases
inferredcites →https://doi.org/10.1002/num.1018openalex-snapshot
A finite difference interpretation of the lattice Boltzmann method
inferredcites →https://doi.org/10.1006/jcph.1999.6257openalex-snapshot
A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh–Taylor Instability
inferredcites →https://doi.org/10.1007/3-540-32386-4_9openalex-snapshot
Macroscopic transport equations for rarefied gas flows
inferredcites →https://doi.org/10.1007/978-0-85729-455-5openalex-snapshot
Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes
inferredcites →https://doi.org/10.1007/978-1-4612-1039-9_2openalex-snapshot
The Boltzmann Equation
inferredcites →https://doi.org/10.1007/978-3-319-44649-3openalex-snapshot
The Lattice Boltzmann Method: Principles and Practice
inferredcites →https://doi.org/10.1007/978-3-322-84410-1_1openalex-snapshot
Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen
inferredcites →https://doi.org/10.1007/978-3-322-84986-1_3openalex-snapshot
Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen
inferredcites →https://doi.org/10.1007/bf01456676openalex-snapshot
Begr�ndung der kinetischen Gastheorie
inferredcites →https://doi.org/10.1007/s10955-005-8087-6openalex-snapshot
Instabilities in the Chapman-Enskog Expansion and Hyperbolic Burnett Equations
inferredcites →https://doi.org/10.1016/0021-9991(74)90011-4openalex-snapshot
The modified equation approach to the stability and accuracy analysis of finite-difference methods
inferredcites →https://doi.org/10.1016/j.camwa.2007.08.003openalex-snapshot
Equivalent partial differential equations of a lattice Boltzmann scheme
inferredcites →https://doi.org/10.1016/j.camwa.2011.08.047openalex-snapshot
An interpretation and derivation of the lattice Boltzmann method using Strang splitting
inferredcites →https://doi.org/10.1016/j.camwa.2017.08.045openalex-snapshot
Weakly compressible Lattice Boltzmann simulations of reacting flows with detailed thermo-chemical models
inferredcites →https://doi.org/10.1016/j.camwa.2018.01.017openalex-snapshot
Comparison of passive scalar transport models coupled with the Lattice Boltzmann method
inferredcites →https://doi.org/10.1016/j.combustflame.2018.06.027openalex-snapshot
A Lattice-Boltzmann model for low-Mach reactive flows
inferredcites →https://doi.org/10.1016/j.combustflame.2019.09.029openalex-snapshot
Hybrid regularized Lattice-Boltzmann modelling of premixed and non-premixed combustion processes
inferredcites →https://doi.org/10.1016/j.combustflame.2020.07.030openalex-snapshot
Experimental and numerical Lattice-Boltzmann investigation of the Darrieus–Landau instability
inferredcites →https://doi.org/10.1016/j.compfluid.2015.08.004openalex-snapshot
Lattice Boltzmann method for Oldroyd-B fluids
inferredcites →https://doi.org/10.1016/j.compfluid.2021.104867openalex-snapshot
Improved compressible hybrid lattice Boltzmann method on standard lattice for subsonic and supersonic flows
inferredcites →https://doi.org/10.1016/j.jcp.2004.01.019openalex-snapshot
A lattice Boltzmann method for incompressible two-phase flows with large density differences
inferredcites →https://doi.org/10.1016/j.jcp.2004.12.001openalex-snapshot
A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio
inferredcites →https://doi.org/10.1016/j.jcp.2008.10.021openalex-snapshot
Comparison between lattice Boltzmann method and Navier–Stokes high order schemes for computational aeroacoustics
inferredcites →https://doi.org/10.1016/j.jcp.2019.05.031openalex-snapshot
Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows
inferredcites →https://doi.org/10.1016/j.jcp.2020.109570openalex-snapshot
An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice
inferredcites →https://doi.org/10.1016/j.jcp.2021.110649openalex-snapshot
A linear stability analysis of compressible hybrid lattice Boltzmann methods
inferredcites →https://doi.org/10.1016/j.matcom.2006.05.017openalex-snapshot
Lattice Boltzmann method with regularized pre-collision distribution functions
inferredcites →https://doi.org/10.1016/s0010-4655(00)00099-0openalex-snapshot
Interface and surface tension in incompressible lattice Boltzmann multiphase model
inferredcites →https://doi.org/10.1016/s0309-1708(00)00067-1openalex-snapshot
Surface tension effects on two-dimensional two-phase Kelvin–Helmholtz instabilities
inferredcites →https://doi.org/10.1017/jfm.2018.413openalex-snapshot
Simulation of turbulent flows with the entropic multirelaxation time lattice Boltzmann method on body-fitted meshes
inferredcites →https://doi.org/10.1017/jfm.2020.374openalex-snapshot
Linear hydrodynamics and stability of the discrete velocity Boltzmann equations
inferredcites →https://doi.org/10.1017/s0022112005008153openalex-snapshot
Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
inferredcites →https://doi.org/10.1063/1.1706716openalex-snapshot
Asymptotic Theory of the Boltzmann Equation
inferredcites →https://doi.org/10.1063/1.4981227openalex-snapshot
High-order regularization in lattice-Boltzmann equations
inferredcites →https://doi.org/10.1063/1.5129138openalex-snapshot
Solid wall and open boundary conditions in hybrid recursive regularized lattice Boltzmann method for compressible flows
inferredcites →https://doi.org/10.1063/1.869984openalex-snapshot
On the three-dimensional Rayleigh–Taylor instability
inferredcites →https://doi.org/10.1063/5.0004024openalex-snapshot
Arbitrary Lagrangian–Eulerian formulation of lattice Boltzmann model for compressible flows on unstructured moving meshes
inferredcites →https://doi.org/10.1063/5.0011839openalex-snapshot
A pressure-based regularized lattice-Boltzmann method for the simulation of compressible flows
inferredcites →https://doi.org/10.1080/10618562.2019.1612052openalex-snapshot
Towards overcoming the LES crisis
inferredcites →https://doi.org/10.1080/14685248.2018.1540879openalex-snapshot
A new hybrid recursive regularised Bhatnagar–Gross–Krook collision model for Lattice Boltzmann method-based large eddy simulation
inferredcites →https://doi.org/10.1080/14786446008642818openalex-snapshot
V. Illustrations of the dynamical theory of gases.—Part I. On the motions and collisions of perfectly elastic spheres
inferredcites →https://doi.org/10.1090/s0002-9904-1902-00923-3openalex-snapshot
Mathematical problems
inferredcites →https://doi.org/10.1090/s0273-0979-2013-01439-3openalex-snapshot
Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations
inferredcites →https://doi.org/10.1098/rsta.2019.0559openalex-snapshot
Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria
inferredcites →https://doi.org/10.1103/physrev.94.511openalex-snapshot
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
inferredcites →https://doi.org/10.1103/physreve.102.053305openalex-snapshot
Linear stability and isotropy properties of athermal regularized lattice Boltzmann methods
inferredcites →https://doi.org/10.1103/physreve.65.046308openalex-snapshot
Discrete lattice effects on the forcing term in the lattice Boltzmann method
inferredcites →https://doi.org/10.1103/physreve.68.036706openalex-snapshot
Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions
inferredcites →https://doi.org/10.1103/physreve.77.066704openalex-snapshot
Consistent lattice Boltzmann schemes for the Brinkman model of porous flow and infinite Chapman-Enskog expansion
inferredcites →https://doi.org/10.1103/physreve.92.061301openalex-snapshot
Entropic lattice Boltzmann model for compressible flows
inferredcites →https://doi.org/10.1103/physreve.93.063302openalex-snapshot
Entropic lattice Boltzmann model for gas dynamics: Theory, boundary conditions, and implementation
inferredcites →https://doi.org/10.1103/physreve.96.033306openalex-snapshot
Recursive regularization step for high-order lattice Boltzmann methods
inferredcites →https://doi.org/10.1103/physrevlett.117.010604openalex-snapshot
Lattice Kinetic Theory in a Comoving Galilean Reference Frame
inferredcites →https://doi.org/10.1504/pcfd.2005.005819openalex-snapshot
A Lattice Boltzmann model for polymeric liquids
inferredcites →https://doi.org/10.3233/asy-2003-563openalex-snapshot
Rigorous Navier–Stokes limit of the lattice Boltzmann equation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1002/pamm.202200163openalex-snapshot
Modelling transient stresses in dynamically loaded elastic solids using the Lattice Boltzmann Method
inferred← citeshttps://doi.org/10.1002/pamm.202400108openalex-snapshot
Improvement of the stability with a TRT‐collision scheme in a Lattice Boltzmann method for elastic solids
inferred← citeshttps://doi.org/10.1007/s00211-022-01302-2openalex-snapshot
Finite Difference formulation of any lattice Boltzmann scheme
inferred← citeshttps://doi.org/10.1007/s00466-023-02369-wopenalex-snapshot
Dirichlet and Neumann boundary conditions in a lattice Boltzmann method for elastodynamics
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Nonlinear flow control mechanism of two flexible flaps with fluid-structure interaction
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Lattice Boltzmann Method Analysis Tool (LBMAT)
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Two-relaxation-time lattice Boltzmann method for elastodynamic wave propagation in solids
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Lattice-Boltzmann method
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Extending the Lattice Boltzmann Method to non-linear elastodynamics
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A Lattice-Boltzmann study of premixed flames thermo-acoustic instabilities
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Lattice-Boltzmann modeling of lifted hydrogen jet flames: A new model for hazardous ignition prediction
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A Staggered Lattice Boltzmann Method for the Radiative Transfer Equation
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Axisymmetric lattice Boltzmann model for liquid flows with super-hydrophobic cylindrical surfaces
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Phase-field-based recursive regularized multiphase lattice Boltzmann model with a consistent pressure scheme
inferred← citeshttps://doi.org/10.1016/j.ijthermalsci.2023.108801openalex-snapshot
Large eddy simulation of fire-induced flows using Lattice-Boltzmann methods
inferred← citeshttps://doi.org/10.1016/j.jcp.2021.110858openalex-snapshot
Hydrodynamic limits and numerical errors of isothermal lattice Boltzmann schemes
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A hybrid lattice Boltzmann method for gaseous detonations
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A hybrid a posteriori MOOD limited lattice Boltzmann method to solve compressible fluid flows – LBMOOD
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Lattice Boltzmann methods for combustion applications
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Benchmarking a lattice-Boltzmann solver for reactive flows: Is the method worth the effort for combustion?
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A unified hybrid lattice-Boltzmann method for compressible flows: Bridging between pressure-based and density-based methods
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Improved color-gradient method for lattice Boltzmann modeling of two-phase flows
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Large-eddy lattice-Boltzmann modeling of transonic flows
inferred← citeshttps://doi.org/10.1063/5.0073178openalex-snapshot
Large temperature difference heat dominated flow simulations using a pressure-based lattice Boltzmann method with mass correction
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Restoring the conservativity of characteristic-based segregated models: Application to the hybrid lattice Boltzmann method
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Lattice-Boltzmann modeling of buoyancy-driven turbulent flows
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A new hybrid lattice-Boltzmann method for thermal flow simulations in low-Mach number approximation
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Special issue on the lattice Boltzmann method
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Unsteady flow control mechanisms of a bio-inspired flexible flap with the fluid–structure interaction
inferred← citeshttps://doi.org/10.1063/5.0182741openalex-snapshot
Lattice-Boltzmann modeling of centrifugal buoyancy-induced flows in rotating compressor cavities
inferred← citeshttps://doi.org/10.1063/5.0325511openalex-snapshot
Unsteady aerodynamics of biplane airfoils with a feather-inspired flexible flap under fluid–structure interaction
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Unsteady aerodynamics and fluid–structure interaction of the variable-camber morphing wing driven by a dielectric elastomer
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Derivation of the incompressible Navier–Stokes equations from the lattice Boltzmann equation: difference between the Chapman–Enskog expansion and the Sone expansion
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Hybrid lattice Boltzmann method for multiphase flows
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Compressible lattice Boltzmann method with rotating overset grids
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Hybrid Lattice Boltzmann method : applications to complex compressible flows
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Improvement of heat and mass transfer predictions at solid walls in Lattice Boltzmann simulations of thermal flows
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Lattice Boltzmann method for rotating geometries at high Reynolds number and high Mach number conditions
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Investigation of Lattice Boltzmann methods applied to multiphase flows
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Modelling fire-induced flows using Lattice Boltzmann methods
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