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

摘要: The kinetic theory of gases implies an independent evolution equation for the momentum flux tensor that closely resembles elastic stress in continuum descriptions viscoelastic liquids. However, leads to a nonobjective convected derivative deviatoric stress, and fixed relation between relaxation rate viscosity. We show simulations freely decaying shear flow using standard two-dimensional lattice Boltzmann model develop tangential consistent with this derivative, parameters. By contrast, liquids are typically modeled by upper two parameters viscosity rate. Although we unable obtain from scalar distribution function, introducing general linear coupling second te...