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Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes

https://doi.org/10.3233/asy-211692
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-07156-3openalex-snapshot
Théorie cinétique des gaz à répartition discrète de vitesses
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Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions
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The Lattice Boltzmann Method: Principles and Practice
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Failures of the Burnett and super-Burnett equations in steady state processes
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The mathematical theory of non-uniform gases
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The modified equation approach to the stability and accuracy analysis of finite-difference methods
inferredcites →https://doi.org/10.1016/0045-7930(74)90004-8openalex-snapshot
Noncentered schemes and schock propagation problems
inferredcites →https://doi.org/10.1016/b978-0-12-817222-3.00008-6openalex-snapshot
History of semi-Lagrangian 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.2011.01.011openalex-snapshot
Quartic parameters for acoustic applications of 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.2013.06.009openalex-snapshot
On rotational invariance of lattice Boltzmann schemes
inferredcites →https://doi.org/10.1016/j.compfluid.2018.01.036openalex-snapshot
Efficient lattice Boltzmann models for the Kuramoto–Sivashinsky equation
inferredcites →https://doi.org/10.1016/j.crme.2018.12.001openalex-snapshot
An analysis of over-relaxation in a kinetic approximation of systems of conservation laws
inferredcites →https://doi.org/10.1016/j.jcp.2013.11.021openalex-snapshot
Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices
inferredcites →https://doi.org/10.1016/j.jcp.2014.02.017openalex-snapshot
Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method
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/j.physa.2017.06.010openalex-snapshot
Two complementary lattice-Boltzmann-based analyses for nonlinear systems
inferredcites →https://doi.org/10.1017/s0022112005008153openalex-snapshot
Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
inferredcites →https://doi.org/10.1017/s0022112064000817openalex-snapshot
Study of rarefied shear flow by the discrete velocity method
inferredcites →https://doi.org/10.1051/proc:071815openalex-snapshot
Une introduction au schéma de Boltzmann sur réseau
inferredcites →https://doi.org/10.1063/1.1397256openalex-snapshot
Beyond Navier–Stokes: Burnett equations for flows in the continuum–transition regime
inferredcites →https://doi.org/10.1063/1.4967541openalex-snapshot
Recovering the full Navier Stokes equations with lattice Boltzmann schemes
inferredcites →https://doi.org/10.1088/0305-4470/39/12/019openalex-snapshot
On the cubic velocity deviations in lattice Boltzmann methods
inferredcites →https://doi.org/10.1088/1742-5468/2009/06/p06006openalex-snapshot
Towards higher order lattice Boltzmann schemes
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.47.r2249openalex-snapshot
Lattice Boltzmann thermohydrodynamics
inferredcites →https://doi.org/10.1103/physreve.61.2103openalex-snapshot
Higher-order dynamics in lattice-based models using the Chapman-Enskog method
inferredcites →https://doi.org/10.1103/physreve.61.6546openalex-snapshot
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
inferredcites →https://doi.org/10.1103/physreve.65.036309openalex-snapshot
Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations
inferredcites →https://doi.org/10.1103/physreve.73.056702openalex-snapshot
From the continuous to the lattice Boltzmann equation: The discretization problem and thermal models
inferredcites →https://doi.org/10.1103/physreve.73.066705openalex-snapshot
Cascaded digital lattice Boltzmann automata for high Reynolds number flow
inferredcites →https://doi.org/10.1103/physreve.75.036704openalex-snapshot
Thermal lattice Boltzmann equation for low Mach number flows: Decoupling model
inferredcites →https://doi.org/10.1103/physreve.79.066702openalex-snapshot
Lattice Boltzmann method with restored Galilean invariance
inferredcites →https://doi.org/10.1103/physreve.88.063310openalex-snapshot
Consistent two-population lattice Boltzmann model for thermal flows
inferredcites →https://doi.org/10.1103/physreve.93.033310openalex-snapshot
Theory of the Lattice Boltzmann method: Derivation of macroscopic equations via the Maxwell iteration
inferredcites →https://doi.org/10.1103/physrevlett.81.6openalex-snapshot
Maximum Entropy Principle for Lattice Kinetic Equations
inferredcites →https://doi.org/10.1137/0705041openalex-snapshot
On the Construction and Comparison of Difference Schemes
inferredcites →https://doi.org/10.1142/8806openalex-snapshot
Lattice Boltzmann Method and Its Applications in Engineering
inferredcites →https://doi.org/10.1142/s0129183198001114openalex-snapshot
Inverse Chapman–Enskog Derivation of the Thermohydrodynamic Lattice-BGK Model for the Ideal Gas
inferredcites →https://doi.org/10.1146/annurev.fluid.30.1.329openalex-snapshot
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
inferredcites →https://doi.org/10.1209/0295-5075/109/50001openalex-snapshot
Lattice Boltzmann 2038
inferredcites →https://doi.org/10.1209/0295-5075/17/6/001openalex-snapshot
Lattice BGK Models for Navier-Stokes Equation
inferredcites →https://doi.org/10.1209/0295-5075/9/4/008openalex-snapshot
Lattice Gas Dynamics with Enhanced Collisions
inferredcites →https://doi.org/10.3934/dcds.2009.23.221openalex-snapshot
Third order equivalent equation of lattice Boltzmann scheme
inferredcites →https://doi.org/10.4208/cicp.2014.m394openalex-snapshot
Lattice Boltzmann Schemes with Relative Velocities
inferredcites →https://doi.org/10.4208/cicp.2014.m400openalex-snapshot
Comparison of Simulations of Convective Flows
inferredcites →https://doi.org/10.4208/cicp.381011.270112sopenalex-snapshot
On Triangular Lattice Boltzmann Schemes for Scalar Problems

What points at this work

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

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A General Fourth-Order Mesoscopic Multiple-Relaxation-Time Lattice Boltzmann Model and Equivalent Macroscopic Finite-Difference Scheme for Two-Dimensional Diffusion Equations
inferred← citeshttps://doi.org/10.2139/ssrn.4607624openalex-extracted
The Macroscopic Finite-Difference Scheme and Modified Equations of the General Propagation Multiple-Relaxation-Time Lattice Boltzmann Model
inferred← citeshttps://doi.org/10.1016/j.camwa.2024.09.028openalex-snapshot
The influence of parasitic modes on stable lattice Boltzmann schemes and weakly unstable multi-step Finite Difference schemes
inferred← citeshttps://doi.org/10.1016/j.compfluid.2023.106036openalex-snapshot
General fourth-order Chapman–Enskog expansion of lattice Boltzmann schemes
inferred← citeshttps://doi.org/10.1016/j.compfluid.2024.106410openalex-snapshot
Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.112871openalex-snapshot
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: Modified equations and discrete observability
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113045openalex-snapshot
A general fourth-order mesoscopic multiple-relaxation-time lattice Boltzmann model and its macroscopic finite-difference scheme for two-dimensional diffusion equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2026.115426openalex-snapshot
A fourth-order and L2-stable lattice Boltzmann model for diagonal-anisotropic diffusion equations
inferred← citeshttps://doi.org/10.1051/m2an/2023008openalex-snapshot
Rigorous derivation of the macroscopic equations for the lattice Boltzmann method via the corresponding Finite Difference scheme
inferred← citeshttps://doi.org/10.1063/5.0254041openalex-snapshot
Multiple relaxation times lattice Boltzmann schemes with projection
inferred← citeshttps://doi.org/10.1088/1742-6596/2395/1/012065openalex-snapshot
Mobile Robot Trajectory Estimation Algorithm Based on Adaptive EKF
inferred← citeshttps://doi.org/10.1103/physreve.107.055305openalex-snapshot
Fourth-order multiple-relaxation-time lattice Boltzmann model and equivalent finite-difference scheme for one-dimensional convection-diffusion equations
inferred← citeshttps://doi.org/10.1103/physreve.109.065305openalex-snapshot
Macroscopic finite-difference scheme and modified equations of the general propagation multiple-relaxation-time lattice Boltzmann model
inferred← citeshttps://doi.org/10.1137/24m1646364openalex-snapshot
Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems
inferred← citeshttps://doi.org/10.1137/25m1725218openalex-snapshot
Monotonicity and Convergence of Two-Relaxation-Times Lattice Boltzmann Schemes for a Nonlinear Conservation Law
inferred← citeshttps://doi.org/10.2139/ssrn.5599433openalex-snapshot
A fourth-order lattice Boltzmann model for multi-dimensional transport equations
inferred← citeshttps://doi.org/10.4208/cicp.oa-2022-0185openalex-snapshot
On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations
inferred← citeshttps://doi.org/10.5802/smai-jcm.83openalex-snapshot
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations
inferred← citeshttps://doi.org/10.5802/smai-jcm.86openalex-snapshot
Parallel kinetic scheme for transport equations in complex toroidal geometry
inferred← citeshttps://doi.org/10.70675/dd724898zda03z4abdz98d9zf1981535e4d2openalex-snapshot
Numerical analysis of lattice Boltzmann schemes : from fundamental issues to efficient and accurate adaptive methods
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