Accelerated Simulation of Surface-Tension-Dominated Incompressible Two-Phase Flows Using Subcycling
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Two-phase flows dominated by surface tension play a crucial role in various engineering applications, including fuel cells and microfluidics. Accurate and fast numerical simulation of these flows is essential for understanding interfacial dynamics and for the design and optimization of related technologies. However, simulations of surface-tension-dominated flows impose severe time-step restrictions due to capillary waves and locally high velocities at fluid interfaces, resulting in high computational cost. To overcome this limitation, we propose a subcycling approach. In this approach, capillary waves are captured using smaller substeps within a larger global time step, enabling stable simulations even with a relatively large global time step. Numerical tests demonstrate the efficiency and stability of our approach for surface-tension-dominated two-phase flow simulations.
