Adaptive moving pivot technique for growth dominated population balance equations

An adaptive moving pivot technique for the solution of population balance equations is presented that extends previous pivot techniques (Kumar and Ramkrishna, Chem. Eng. Sci., 51(8): 1311-1332, 1996; 51(8): 1333-1342, 1996; 52(24): 4659-4679, 1997) in two ways. Firstly, equations are derived to guarantee the preservation of two arbitrarily chosen integral properties. Secondly, a grid adaptation strategy is proposed. With these extensions the scope of pivot techniques is significantly broadened. The growth term is now also preserving two arbitrarily chosen integral properties.