Modeling of bubble coalescence and break-up using the Log-normal Method of Moments

•The Log-normal Method of Moments is extended to capture coalescence and break-up.•These phenomena are modeled using source terms in the moment transport equations.•Gaussian quadrature is used to approximate the integrals in these source terms.•Good agreement is found between our model and an accurate class method.•A significant gain in computational time is achieved compared to the class method.