Force methods for the two-relaxation-times lattice Boltzmann
Bart Postma, Gonçalo Silva
Abstract
The two-relaxation-times collision benefits the steady lattice Boltzmann method by yielding viscosity-independent numerical errors. We present in an intuitive way how to incorporate popular force methods into the two-relaxation-times collision. We subsequently rewrite force methods into a generic equation to reveal commonalities and differences. We prove that force methods with a second-order velocity moment of the force break the viscosity independence. A force method with only a first-order velocity moment of the force averts this breakage. We validate our proof numerically.
Topics & Concepts
Lattice Boltzmann methodsCollisionBoltzmann equationPhysicsMoment (physics)Statistical physicsRelaxation (psychology)Central forceViscosityIndependence (probability theory)Classical mechanicsForce densityBreakageContact forceMechanicsMathematicsComputer scienceQuantum mechanicsSocial psychologyWorld Wide WebStatisticsPsychologyComputer securityLattice Boltzmann Simulation StudiesFluid Dynamics and Turbulent FlowsHeat and Mass Transfer in Porous Media