The paper presents a lattice Boltzmann scheme designed to model the hydrodynamics of phase separation and two-phase flow in non-ideal fluids. The scheme ensures thermodynamic consistency by incorporating a non-ideal pressure tensor into the collision operator. This approach allows for the investigation of wetting effects on phase separation and fluid flow in confined geometries using an external chemical potential to supplement standard boundary conditions. The method reduces unphysical discretization issues common in previous lattice Boltzmann methods and provides a physically motivated way to tune boundary conditions. The authors demonstrate the effectiveness of their scheme through simulations of a Van-der-Waals fluid, showing accurate agreement with continuum thermodynamic equations and realistic interface dynamics. The method is also shown to be useful for studying non-isothermal situations and has potential applications in multi-phase hydrodynamical systems.The paper presents a lattice Boltzmann scheme designed to model the hydrodynamics of phase separation and two-phase flow in non-ideal fluids. The scheme ensures thermodynamic consistency by incorporating a non-ideal pressure tensor into the collision operator. This approach allows for the investigation of wetting effects on phase separation and fluid flow in confined geometries using an external chemical potential to supplement standard boundary conditions. The method reduces unphysical discretization issues common in previous lattice Boltzmann methods and provides a physically motivated way to tune boundary conditions. The authors demonstrate the effectiveness of their scheme through simulations of a Van-der-Waals fluid, showing accurate agreement with continuum thermodynamic equations and realistic interface dynamics. The method is also shown to be useful for studying non-isothermal situations and has potential applications in multi-phase hydrodynamical systems.