title: Effect of the forcing term in the multiple-relaxation-time lattice Boltzmann equation on the shear stress or the strain rate tensor.
abstract: In this work, the effect of the forcing term (or external force) in the multiple-relaxation-time lattice Boltzmann equation (MRTLBE) on the shear stress or the strain rate tensor is studied theoretically and numerically. Through a Chapman-Enskog analysis and numerical simulations, we show that the shear stress (or the strain rate tensor) derived from the MRTLBE is second-order accurate in space. We then examine the influence of the forcing term on the shear stress or the strain rate tensor, and demonstrate that the forcing term effect must be included when the shear stress or the strain rate tensor is computed with the nonequilibrium part of the distribution function.
authors.affiliation: Department of Mechanical Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR, People's Republic of China.
authors.forename: Zhenhua
authors.initials: Z
authors.lastname: Chai
authors.forename: T S
authors.initials: TS
authors.lastname: Zhao
mesh_terms: D003198:Computer Simulation; D055119:Elastic Modulus; D007477:Ions / Q000737:chemistry*; D008956:Models, Chemical; D015233:Models, Statistical; D012212:Rheology / Q000379:methods*; D033081:Shear Strength; D012996:Solutions / Q000737:chemistry*; D055672:Static Electricity; D013314:Stress, Mechanical
chemical_list: D007477:Ions; D012996:Solutions