Lattice Boltzmann Formulation for Linear Viscoelastic Fluids Using an Abstract Second Stress

DOI10.1137/130940372zbMath1308.76013OpenAlexW2002089807MaRDI QIDQ5176038

Paul J. Dellar

Publication date: 2 March 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1510825b130e290709f97203c743e5d56e49b18b

zbMATH Keywords

viscoelastic fluidsBoltzmann equationrarefied gas flowsPDEs in connection with fluid mechanics

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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The lattice Boltzmann method for nearly incompressible flows ⋮ Lattice Boltzmann method for Oldroyd-B fluids ⋮ Vector Lattice Boltzmann Equations: From Magnetohydrodynamics to Active Matter ⋮ Study on force schemes in pseudopotential lattice Boltzmann model for two-phase flows ⋮ Burnett Order Stress and Spatially-Dependent Boundary Conditions for the Lattice Boltzmann Method ⋮ On the Lattice Boltzmann Deviatoric Stress: Analysis, Boundary Conditions, and Optimal Relaxation Times ⋮ Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative

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