The standard lattice Boltzmann equation (LBE) method usually fails to capture the physical equilibrium state of a two-phase fluid system, i.e., zero velocity and constant chemical potential. Consequently, spurious velocities inconsistent thermodynamic density properties are frequently encountered in LBE simulations. In this work, based on rigorous analysis discrete balance LBE, we identify stru...

Low-Reynolds-number viscoelastic fluids exhibit a chaotic behaviour linked to the growth of elastic instabilities when polymer molecules are stretched excessively. Despite offering various exciting benefits, numerical difficulties associated with simulating this complex regime have left lot still unexplored regarding transition and onset these low-Reynolds number instabilities. Recently, method...

Lattice Boltzmann method is implemented to study hydrodynamically and thermally developing steady laminar flows in a channel. Numerical simulation of two-dimensional convective heat transfer problem is conducted using two-dimensional, nine directional D2Q9 thermal lattice Boltzmann arrangements. The velocity and temperature profiles in the developing region predicted by Lattice Boltzmann method...