Numerical Extraction of a Macroscopic PDE and a Lifting Operator from a Lattice Boltzmann Model

DOI10.1137/110842739zbMath1255.76103arXiv1108.4919OpenAlexW1966184363MaRDI QIDQ4903653

Wim Vanroose, Y. Vanderhoydonc

Publication date: 24 January 2013

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4919

zbMATH Keywords

missing datahybrid modelslattice Boltzmann modelslifting operatorChapman--Enskog expansionConstrained Runsmacroscopic partial differential equationsnumerical Chapman--Enskog expansion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Particle methods and lattice-gas methods (76M28) Initial value problems for second-order parabolic systems (35K45)

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Constrained Runs Algorithm as a Lifting Operator for the One-Dimensional in Space Boltzmann Equation with BGK Collision Term

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