  We investigate the application of the method of moments approach for the
one-dimensional population balance equation. We consider different types of
moment closures, namely polynomial (P_N) closures, maximum entropy (M_N)
closures and the quadrature method of moments QMOM_N. Realizability issues and
implementation details are discussed. The numerical examples range from
spatially homogeneous cases to a population balance equation coupled with fluid
dynamic equations for a lid-driven cavity test case. A detailed numerical
discussion of accuracy, order of the moment method and computational time is
given.
