Can I read Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers on EtoBox?

Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers by Dominique d’Humières; Irina Ginzburg is a Engineering article available to read on EtoBox.

What is Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers about?

equations Chapman-Enskog expansion MRT, TRT and BGK models Stokes and Navier-Stokes equations Anisotropic advection-diffusion equations Multi-reflection and linear interpolated boundary schemes Bounce-back Anti-bounce-back a b s t r a c t We prove for generic steady solutions of the Lattice Boltzmann (LB) models that the variation of the numerical errors is set by specific combinations (called ''magic numbers'') of the relaxation rates associated with the symmetric and anti-symmetric collision moments. Given the governing dimensionless physical parameters, such as the Reynolds or Peclet numbers, and the geometry of the computational mesh, the numerical errors remain the same for any change of the transport coefficients only when the ''free'' (''kinetic'') antisymmetric rates and the boundary rules are chosen properly. The single-relaxation-time (BGK) model has no free collision rate and yields viscosity dependent errors with any boundary scheme for hydrodynamic problems. The simplest and most efficient collision operator for invariant errors is the two-relaxation-times (TRT) model. As an example, this model is able to compute viscosity independent permeabilities for any porous stru

Who reads Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers?

Author

Dominique d’Humières; Irina Ginzburg

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0898-1221)

Published

2009

Language

EN

Field

Engineering (Physical Sciences)