Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
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Publication:5061571
DOI10.3233/ASY-211692MaRDI QIDQ5061571
Publication date: 14 March 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.12417
asymptotic expansionlattice Boltzmann schemeasymptotic systemD2Q9 schememacroscopic momentmicroscopic moment
Asymptotic behavior of solutions to PDEs (35B40) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)
Related Items (5)
Truncation errors and modified equations for the lattice Boltzmann methodviathe corresponding Finite Difference schemes ⋮ General fourth-order Chapman-Enskog expansion of lattice Boltzmann schemes ⋮ Parallel kinetic scheme for transport equations in complex toroidal geometry ⋮ On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations ⋮ Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022
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Cites Work
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- On rotational invariance of lattice Boltzmann schemes
- Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices
- An interpretation and derivation of the lattice Boltzmann method using strang splitting
- Approximation of mono-dimensional hyperbolic systems: a lattice Boltzmann scheme as a relaxation method
- Quartic parameters for acoustic applications of lattice Boltzmann scheme
- Equivalent partial differential equations of a lattice Boltzmann scheme
- Third order equivalent equation of lattice Boltzmann scheme
- The modified equation approach to the stability and accuracy analysis of finite-difference methods
- Noncentered schemes and shock propagation problems
- Efficient lattice Boltzmann models for the Kuramoto-Sivashinsky equation
- Two complementary lattice-Boltzmann-based analyses for nonlinear systems
- Failures of the Burnett and super-Burnett equations in steady state processes
- Lattice Boltzmann method with regularized pre-collision distribution functions
- Lattice Boltzmann Method and Its Applications in Engineering
- Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions
- Towards higher order lattice Boltzmann schemes
- Beyond Navier–Stokes: Burnett equations for flows in the continuum–transition regime
- Lattice BGK Models for Navier-Stokes Equation
- Inverse Chapman–Enskog Derivation of the Thermohydrodynamic Lattice-BGK Model for the Ideal Gas
- On Triangular Lattice Boltzmann Schemes for Scalar Problems
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
- On the cubic velocity deviations in lattice Boltzmann methods
- The Lattice Boltzmann Method
- Lattice Boltzmann Schemes with Relative Velocities
- Comparison of Simulations of Convective Flows
- Une introduction au schéma de Boltzmann sur réseau
- Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
- Study of rarefied shear flow by the discrete velocity method
- On the Construction and Comparison of Difference Schemes
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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