Phase-field-based Finite Volume Method for Simulating Thermocapillary Flows

Based on the phase-field interface-capturing scheme, a novel and common simulation strategy is put forward with the finite volume method to study the thermocapillary flows, which avoids the fourth-order derivative efficaciously and adopts the mean parameter method to preserve the convergence in the large density ratio flows. Through simulating the thermocapillary migration of bubble, the results show that the new strategy can successfully describe the performance of bubble with different density ratios, i.e. 0.1 and 0.01, and dimensionless parameters Re=1.5×10-2 and 1.5×102. When Re is 1.5×102, the bubble has an apparent deformation, and a larger migration velocity of the bubble is observed with a larger temperature gradient along the surface.