A lattice Boltzmann-BGK algorithm for a diffusion equation with Robin boundary condition-application to NMR relaxation

DOI10.1002/fld.1822zbMath1154.82017OpenAlexW2117061430MaRDI QIDQ3596548

Svein M. Skjaeveland, Steinar Evje, Aksel Hiorth, U. H. A Lad

Publication date: 28 January 2009

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1822

zbMATH Keywords

diffusionrelaxationRobin boundary conditionnuclear magnetic resonance (NMR)lattice Boltzmannlattice Boltzmann-Bhatnagar-Gross-Krooh (LBGK)

Mathematics Subject Classification ID

Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of liquids (82D15)

Related Items (2)

Second-order curved interface treatments of the lattice Boltzmann method for convection-diffusion equations with conjugate interfacial conditions ⋮ A volume-preserving sharpening approach for the propagation of sharp phase boundaries in multiphase lattice Boltzmann simulations

Cites Work

• Unnamed Item
• A lattice Boltzmann method for a binary miscible fluid mixture and its application to a heat transfer problem
• Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method
• Application of the lattice Boltzmann method for solving the energy equation of a 2-D transient conduction-radiation problem
• A lattice Boltzmann equation for diffusion
• The lattice Boltzmann equation for natural convection in a two-dimensional cavity with a partially heated wall
• A coupled lattice BGK model for the Boussinesq equations

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