It is generally recognized that oscillatory, or pulsatile, flow significantly alters the transfer of mass, heat and momentum in fluid systems. A numerical investigation of thermovibrational buoyancy-driven flow in differentially hated cylindrical containers is presented as part of a study of thermovibrational transport regimes in Bridgman-type systems. The formulation of a physical and mathematical model for this problem is outlined and its application to the study of investigation of thermal vibrational flows is discussed. Three types of vibration are considered: translational, circularly polarized and rotational. It is demonstrated that forced vibration can significantly affect flows that have been induced by g-jitter and selected results for the cases of longitudinal and lateral vibrations are presented.