Equivalent partial differential equations of a lattice Boltzmann scheme

From MaRDI portal
Publication:945067

DOI10.1016/j.camwa.2007.08.003zbMath1142.76449arXiv1806.03181OpenAlexW2005471152MaRDI QIDQ945067

François Dubois

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03181




Related Items (36)

Unconditionally stable and parallel discontinuous Galerkin solverStructural stability of lattice Boltzmann schemesDiscrete adjoint sensitivity analysis for fluid flow topology optimization based on the generalized lattice Boltzmann methodThe lattice Boltzmann method for nearly incompressible flowsHydrodynamic limits and numerical errors of isothermal lattice Boltzmann schemesOn rotational invariance of lattice Boltzmann schemesTwo complementary lattice-Boltzmann-based analyses for nonlinear systemsNonlinear fourth order Taylor expansion of lattice Boltzmann schemesDoes the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?Fourth order Galilean invariance for the lattice Boltzmann methodEfficient lattice Boltzmann models for the Kuramoto-Sivashinsky equationFinite difference formulation of any lattice Boltzmann schemeApproximation of mono-dimensional hyperbolic systems: a lattice Boltzmann scheme as a relaxation methodTruncation errors and modified equations for the lattice Boltzmann methodviathe corresponding Finite Difference schemesGeneral fourth-order Chapman-Enskog expansion of lattice Boltzmann schemesParametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion. I: Derivation and validationOn Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes EquationsStructure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022Simulation of a Liquid-Vapour Compressible Flow by a Lattice Boltzmann MethodA simple phase-field model for interface tracking in three dimensionsQuartic parameters for acoustic applications of lattice Boltzmann schemeAn extended spectral analysis of the lattice Boltzmann method: modal interactions and stability issuesTowards higher order lattice Boltzmann schemesCurious Convergence Properties of Lattice Boltzmann Schemes for Diffusion with Acoustic ScalingStokes eigenmodes on two-dimensional regular polygonsNear-wall treatment for the simulation of turbulent flow by the cumulant lattice Boltzmann methodOn anti bounce back boundary condition for lattice Boltzmann schemesThe cumulant lattice Boltzmann equation in three dimensions: theory and validationThe differential equation counterpart of an individual-based model for yeast population growthEquivalent finite difference and partial differential equations for the lattice Boltzmann methodLattice Boltzmann model approximated with finite difference expressionsSecond-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equationsOn the Lattice Boltzmann Deviatoric Stress: Analysis, Boundary Conditions, and Optimal Relaxation TimesOn the dissipation mechanism of lattice Boltzmann method when modeling 1-d and 2-d water hammer flowsHigh accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equationsA robust and efficient solver based on kinetic schemes for magnetohydrodynamics (MHD) equations



Cites Work


This page was built for publication: Equivalent partial differential equations of a lattice Boltzmann scheme